diff --git a/main.js b/main.js index 942b59cb..c74dc024 100644 --- a/main.js +++ b/main.js @@ -32990,8 +32990,6 @@ window.addEventListener('message', (e) => { sampleContainerElem.style.height = `${data.height}px`; break; } - default: - throw new Error(`unknown message cmd: ${cmd}`); } }); // Parse the first URL. diff --git a/main.js.map b/main.js.map index 64dd995d..ebd97e04 100644 --- a/main.js.map +++ b/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":[],"sourcesContent":[],"names":[],"mappings":";;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;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\ No newline at end of file diff --git a/sample/a-buffer/main.js b/sample/a-buffer/main.js index f896a4e5..4bea124e 100644 --- a/sample/a-buffer/main.js +++ b/sample/a-buffer/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Generates am typed API for Vec3 */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); } - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +744,4747 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Transforms vec3 by 3x3 matrix + +/* + * Copyright 2022 Gregg Tavares * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} /** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } } - return copy$3(a, dst); + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. - * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. + * Vec4 math functions. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -5035,19 +7995,19 @@ function computeSurfaceNormals(positions, triangles) { const p0 = positions[i0]; const p1 = positions[i1]; const p2 = positions[i2]; - const v0 = vec3Impl.subtract(p1, p0); - const v1 = vec3Impl.subtract(p2, p0); - vec3Impl.normalize(v0, v0); - vec3Impl.normalize(v1, v1); - const norm = vec3Impl.cross(v0, v1); + const v0 = vec3.subtract(p1, p0); + const v1 = vec3.subtract(p2, p0); + vec3.normalize(v0, v0); + vec3.normalize(v1, v1); + const norm = vec3.cross(v0, v1); // Accumulate the normals. - vec3Impl.add(normals[i0], norm, normals[i0]); - vec3Impl.add(normals[i1], norm, normals[i1]); - vec3Impl.add(normals[i2], norm, normals[i2]); + vec3.add(normals[i0], norm, normals[i0]); + vec3.add(normals[i1], norm, normals[i1]); + vec3.add(normals[i2], norm, normals[i2]); }); normals.forEach((n) => { // Normalize accumulated normals. - vec3Impl.normalize(n, n); + vec3.normalize(n, n); }); return normals; } @@ -5754,15 +8714,15 @@ const configure = () => { // Rotates the camera around the origin based on time. function getCameraViewProjMatrix() { const aspect = canvas.width / canvas.height; - const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0); - const upVector = vec3Impl.fromValues(0, 1, 0); - const origin = vec3Impl.fromValues(0, 0, 0); - const eyePosition = vec3Impl.fromValues(0, 5, -100); + const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0); + const upVector = vec3.fromValues(0, 1, 0); + const origin = vec3.fromValues(0, 0, 0); + const eyePosition = vec3.fromValues(0, 5, -100); const rad = Math.PI * (Date.now() / 5000); - const rotation = mat4Impl.rotateY(mat4Impl.translation(origin), rad); - vec3Impl.transformMat4(eyePosition, rotation, eyePosition); - const viewMatrix = mat4Impl.lookAt(eyePosition, origin, upVector); - const viewProjMatrix = mat4Impl.multiply(projectionMatrix, viewMatrix); + const rotation = mat4.rotateY(mat4.translation(origin), rad); + vec3.transformMat4(eyePosition, rotation, eyePosition); + const viewMatrix = mat4.lookAt(eyePosition, origin, upVector); + const viewProjMatrix = mat4.multiply(projectionMatrix, viewMatrix); return viewProjMatrix; } return function doDraw() { diff --git a/sample/a-buffer/main.js.map b/sample/a-buffer/main.js.map index 905fadd9..e814de74 100644 --- a/sample/a-buffer/main.js.map +++ b/sample/a-buffer/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../node_modules/teapot/teapot.js","../../../../../meshes/utils.ts","../../../../../meshes/teapot.ts","../../../../../sample/a-buffer/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# 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{ vec3, Vec3 } from 'wgpu-matrix';\n\nexport function computeSurfaceNormals(\n positions: [number, number, number][],\n triangles: [number, number, number][]\n): [number, number, number][] {\n const normals: [number, number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0, 0];\n });\n triangles.forEach(([i0, i1, i2]) => {\n const p0 = positions[i0];\n const p1 = positions[i1];\n const p2 = positions[i2];\n\n const v0 = vec3.subtract(p1, p0);\n const v1 = vec3.subtract(p2, p0);\n\n vec3.normalize(v0, v0);\n vec3.normalize(v1, v1);\n const norm = vec3.cross(v0, v1);\n\n // Accumulate the normals.\n vec3.add(normals[i0], norm, normals[i0]);\n vec3.add(normals[i1], norm, normals[i1]);\n vec3.add(normals[i2], norm, normals[i2]);\n });\n normals.forEach((n) => {\n // Normalize accumulated normals.\n vec3.normalize(n, n);\n });\n\n return normals;\n}\n\nfunction makeTriangleIndicesFn(triangles: [number, number, number][]) {\n let triNdx = 0;\n let vNdx = 0;\n const fn = function () {\n const ndx = triangles[triNdx][vNdx++];\n if (vNdx === 3) {\n vNdx = 0;\n ++triNdx;\n }\n return ndx;\n };\n fn.reset = function () {\n triNdx = 0;\n vNdx = 0;\n };\n fn.numElements = triangles.length * 3;\n return fn;\n}\n\n// adapted from: https://webglfundamentals.org/webgl/lessons/webgl-3d-geometry-lathe.htmls\nexport function generateNormals(\n maxAngle: number,\n positions: [number, number, number][],\n triangles: [number, number, number][]\n) {\n // first compute the normal of each face\n const getNextIndex = makeTriangleIndicesFn(triangles);\n const numFaceVerts = getNextIndex.numElements;\n const numVerts = positions.length;\n const numFaces = numFaceVerts / 3;\n const faceNormals: Vec3[] = [];\n\n // Compute the normal for every face.\n // While doing that, create a new vertex for every face vertex\n for (let i = 0; i < numFaces; ++i) {\n const n1 = getNextIndex();\n const n2 = getNextIndex();\n const n3 = getNextIndex();\n\n const v1 = positions[n1];\n const v2 = positions[n2];\n const v3 = positions[n3];\n\n faceNormals.push(\n vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))\n );\n }\n\n let tempVerts = {};\n let tempVertNdx = 0;\n\n // this assumes vertex positions are an exact match\n\n function getVertIndex(vert: [number, number, number]): number {\n const vertId = JSON.stringify(vert);\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n return newNdx;\n }\n\n // We need to figure out the shared vertices.\n // It's not as simple as looking at the faces (triangles)\n // because for example if we have a standard cylinder\n //\n //\n // 3-4\n // / \\\n // 2 5 Looking down a cylinder starting at S\n // | | and going around to E, E and S are not\n // 1 6 the same vertex in the data we have\n // \\ / as they don't share UV coords.\n // S/E\n //\n // the vertices at the start and end do not share vertices\n // since they have different UVs but if you don't consider\n // them to share vertices they will get the wrong normals\n\n const vertIndices: number[] = [];\n for (let i = 0; i < numVerts; ++i) {\n const vert = positions[i];\n vertIndices.push(getVertIndex(vert));\n }\n\n // go through every vertex and record which faces it's on\n const vertFaces: number[][] = [];\n getNextIndex.reset();\n for (let i = 0; i < numFaces; ++i) {\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n let faces = vertFaces[sharedNdx];\n if (!faces) {\n faces = [];\n vertFaces[sharedNdx] = faces;\n }\n faces.push(i);\n }\n }\n\n // now go through every face and compute the normals for each\n // vertex of the face. Only include faces that aren't more than\n // maxAngle different. Add the result to arrays of newPositions,\n // newTexcoords and newNormals, discarding any vertices that\n // are the same.\n tempVerts = {};\n tempVertNdx = 0;\n const newPositions: [number, number, number][] = [];\n const newNormals: [number, number, number][] = [];\n\n function getNewVertIndex(\n position: [number, number, number],\n normal: [number, number, number]\n ) {\n const vertId = JSON.stringify({ position, normal });\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n newPositions.push(position);\n newNormals.push(normal);\n return newNdx;\n }\n\n const newTriangles: [number, number, number][] = [];\n getNextIndex.reset();\n const maxAngleCos = Math.cos(maxAngle);\n // for each face\n for (let i = 0; i < numFaces; ++i) {\n // get the normal for this face\n const thisFaceNormal = faceNormals[i];\n // for each vertex on the face\n const newTriangle: number[] = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n const faces = vertFaces[sharedNdx];\n const norm = [0, 0, 0] as [number, number, number];\n faces.forEach((faceNdx: number) => {\n // is this face facing the same way\n const otherFaceNormal = faceNormals[faceNdx];\n const dot = vec3.dot(thisFaceNormal, otherFaceNormal);\n if (dot > maxAngleCos) {\n vec3.add(norm, otherFaceNormal, norm);\n }\n });\n vec3.normalize(norm, norm);\n newTriangle.push(getNewVertIndex(positions[ndx], norm));\n }\n newTriangles.push(newTriangle as [number, number, number]);\n }\n\n return {\n positions: newPositions,\n normals: newNormals,\n triangles: newTriangles,\n };\n}\n\ntype ProjectedPlane = 'xy' | 'xz' | 'yz';\n\nconst projectedPlane2Ids: { [key in ProjectedPlane]: [number, number] } = {\n xy: [0, 1],\n xz: [0, 2],\n yz: [1, 2],\n};\n\nexport function computeProjectedPlaneUVs(\n positions: [number, number, number][],\n projectedPlane: ProjectedPlane = 'xy'\n): [number, number][] {\n const idxs = projectedPlane2Ids[projectedPlane];\n const uvs: [number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0];\n });\n const extentMin = [Infinity, Infinity];\n const extentMax = [-Infinity, -Infinity];\n positions.forEach((pos, i) => {\n // Simply project to the selected plane\n uvs[i][0] = pos[idxs[0]];\n uvs[i][1] = pos[idxs[1]];\n\n extentMin[0] = Math.min(pos[idxs[0]], extentMin[0]);\n extentMin[1] = Math.min(pos[idxs[1]], extentMin[1]);\n extentMax[0] = Math.max(pos[idxs[0]], extentMax[0]);\n extentMax[1] = Math.max(pos[idxs[1]], extentMax[1]);\n });\n uvs.forEach((uv) => {\n uv[0] = (uv[0] - extentMin[0]) / (extentMax[0] - extentMin[0]);\n uv[1] = (uv[1] - extentMin[1]) / (extentMax[1] - extentMin[1]);\n });\n return uvs;\n}\n","import teapotData from 'teapot';\nimport { computeSurfaceNormals } from './utils';\n\nexport const mesh = {\n positions: teapotData.positions as [number, number, number][],\n triangles: teapotData.cells as [number, number, number][],\n normals: [] as [number, number, number][],\n};\n\n// Compute surface normals\nmesh.normals = computeSurfaceNormals(mesh.positions, mesh.triangles);\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport { mesh } from '../../meshes/teapot';\n\nimport opaqueWGSL from './opaque.wgsl';\nimport translucentWGSL from './translucent.wgsl';\nimport compositeWGSL from './composite.wgsl';\n\nfunction roundUp(n: number, k: number): number {\n return Math.ceil(n / k) * k;\n}\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'opaque',\n});\n\nconst params = new URLSearchParams(window.location.search);\n\nconst settings = {\n memoryStrategy: params.get('memoryStrategy') || 'multipass',\n};\n\n// Create the model vertex buffer\nconst vertexBuffer = device.createBuffer({\n size: 3 * mesh.positions.length * Float32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n label: 'vertexBuffer',\n});\n{\n const mapping = new Float32Array(vertexBuffer.getMappedRange());\n for (let i = 0; i < mesh.positions.length; ++i) {\n mapping.set(mesh.positions[i], 3 * i);\n }\n vertexBuffer.unmap();\n}\n\n// Create the model index buffer\nconst indexCount = mesh.triangles.length * 3;\nconst indexBuffer = device.createBuffer({\n size: indexCount * Uint16Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n label: 'indexBuffer',\n});\n{\n const mapping = new Uint16Array(indexBuffer.getMappedRange());\n for (let i = 0; i < mesh.triangles.length; ++i) {\n mapping.set(mesh.triangles[i], 3 * i);\n }\n indexBuffer.unmap();\n}\n\n// Uniforms contains:\n// * modelViewProjectionMatrix: mat4x4f\n// * maxStorableFragments: u32\n// * targetWidth: u32\nconst uniformsSize = roundUp(\n 16 * Float32Array.BYTES_PER_ELEMENT + 2 * Uint32Array.BYTES_PER_ELEMENT,\n 16\n);\n\nconst uniformBuffer = device.createBuffer({\n size: uniformsSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n label: 'uniformBuffer',\n});\n\nconst opaqueModule = device.createShaderModule({\n code: opaqueWGSL,\n label: 'opaqueModule',\n});\n\nconst opaquePipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: opaqueModule,\n buffers: [\n {\n arrayStride: 3 * Float32Array.BYTES_PER_ELEMENT,\n attributes: [\n {\n // position\n format: 'float32x3',\n offset: 0,\n shaderLocation: 0,\n },\n ],\n },\n ],\n },\n fragment: {\n module: opaqueModule,\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n label: 'opaquePipeline',\n});\n\nconst opaquePassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined,\n clearValue: [0, 0, 0, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: undefined,\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n label: 'opaquePassDescriptor',\n};\n\nconst opaqueBindGroup = device.createBindGroup({\n layout: opaquePipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n size: 16 * Float32Array.BYTES_PER_ELEMENT,\n label: 'modelViewProjection',\n },\n },\n ],\n label: 'opaquePipeline',\n});\n\nconst translucentModule = device.createShaderModule({\n code: translucentWGSL,\n label: 'translucentModule',\n});\n\nconst translucentBindGroupLayout = device.createBindGroupLayout({\n label: 'translucentBindGroupLayout',\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'storage',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'storage',\n },\n },\n {\n binding: 3,\n visibility: GPUShaderStage.FRAGMENT,\n texture: { sampleType: 'depth' },\n },\n {\n binding: 4,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n hasDynamicOffset: true,\n },\n },\n ],\n});\n\nconst translucentPipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [translucentBindGroupLayout],\n label: 'translucentPipelineLayout',\n }),\n vertex: {\n module: translucentModule,\n buffers: [\n {\n arrayStride: 3 * Float32Array.BYTES_PER_ELEMENT,\n attributes: [\n {\n format: 'float32x3',\n offset: 0,\n shaderLocation: 0,\n },\n ],\n },\n ],\n },\n fragment: {\n module: translucentModule,\n targets: [\n {\n format: presentationFormat,\n writeMask: 0x0,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n label: 'translucentPipeline',\n});\n\nconst translucentPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n loadOp: 'load',\n storeOp: 'store',\n view: undefined,\n },\n ],\n label: 'translucentPassDescriptor',\n};\n\nconst compositeModule = device.createShaderModule({\n code: compositeWGSL,\n label: 'compositeModule',\n});\n\nconst compositeBindGroupLayout = device.createBindGroupLayout({\n label: 'compositeBindGroupLayout',\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'storage',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'storage',\n },\n },\n {\n binding: 3,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n hasDynamicOffset: true,\n },\n },\n ],\n});\n\nconst compositePipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [compositeBindGroupLayout],\n label: 'compositePipelineLayout',\n }),\n vertex: {\n module: compositeModule,\n },\n fragment: {\n module: compositeModule,\n targets: [\n {\n format: presentationFormat,\n blend: {\n color: {\n srcFactor: 'one',\n operation: 'add',\n dstFactor: 'one-minus-src-alpha',\n },\n alpha: {},\n },\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n label: 'compositePipeline',\n});\n\nconst compositePassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined,\n loadOp: 'load',\n storeOp: 'store',\n },\n ],\n label: 'compositePassDescriptor',\n};\n\nconst configure = () => {\n let devicePixelRatio = window.devicePixelRatio;\n\n // The default maximum storage buffer binding size is 128Mib. The amount\n // of memory we need to store transparent fragments depends on the size\n // of the canvas and the average number of layers per fragment we want to\n // support. When the devicePixelRatio is 1, we know that 128Mib is enough\n // to store 4 layers per pixel at 600x600. However, when the device pixel\n // ratio is high enough we will exceed this limit.\n //\n // We provide 2 choices of mitigations to this issue:\n // 1) Clamp the device pixel ratio to a value which we know will not break\n // the limit. The tradeoff here is that the canvas resolution will not\n // match the native resolution and therefore may have a reduction in\n // quality.\n // 2) Break the frame into a series of horizontal slices using the scissor\n // functionality and process a single slice at a time. This limits memory\n // usage because we only need enough memory to process the dimensions\n // of the slice. The tradeoff is the performance reduction due to multiple\n // passes.\n if (settings.memoryStrategy === 'clamp-pixel-ratio') {\n devicePixelRatio = Math.min(window.devicePixelRatio, 3);\n }\n\n canvas.width = canvas.clientWidth * devicePixelRatio;\n canvas.height = canvas.clientHeight * devicePixelRatio;\n\n const depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n label: 'depthTexture',\n });\n\n const depthTextureView = depthTexture.createView({\n label: 'depthTextureView',\n });\n\n // Determines how much memory is allocated to store linked-list elements\n const averageLayersPerFragment = 4;\n\n // Each element stores\n // * color : vec4f\n // * depth : f32\n // * index of next element in the list : u32\n const linkedListElementSize =\n 5 * Float32Array.BYTES_PER_ELEMENT + 1 * Uint32Array.BYTES_PER_ELEMENT;\n\n // We want to keep the linked-list buffer size under the maxStorageBufferBindingSize.\n // Split the frame into enough slices to meet that constraint.\n const bytesPerline =\n canvas.width * averageLayersPerFragment * linkedListElementSize;\n const maxLinesSupported = Math.floor(\n device.limits.maxStorageBufferBindingSize / bytesPerline\n );\n const numSlices = Math.ceil(canvas.height / maxLinesSupported);\n const sliceHeight = Math.ceil(canvas.height / numSlices);\n const linkedListBufferSize = sliceHeight * bytesPerline;\n\n const linkedListBuffer = device.createBuffer({\n size: linkedListBufferSize,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n label: 'linkedListBuffer',\n });\n\n // To slice up the frame we need to pass the starting fragment y position of the slice.\n // We do this using a uniform buffer with a dynamic offset.\n const sliceInfoBuffer = device.createBuffer({\n size: numSlices * device.limits.minUniformBufferOffsetAlignment,\n usage: GPUBufferUsage.UNIFORM,\n mappedAtCreation: true,\n label: 'sliceInfoBuffer',\n });\n {\n const mapping = new Int32Array(sliceInfoBuffer.getMappedRange());\n\n // This assumes minUniformBufferOffsetAlignment is a multiple of 4\n const stride =\n device.limits.minUniformBufferOffsetAlignment /\n Int32Array.BYTES_PER_ELEMENT;\n for (let i = 0; i < numSlices; ++i) {\n mapping[i * stride] = i * sliceHeight;\n }\n sliceInfoBuffer.unmap();\n }\n\n // `Heads` struct contains the start index of the linked-list of translucent fragments\n // for a given pixel.\n // * numFragments : u32\n // * data : array\n const headsBuffer = device.createBuffer({\n size: (1 + canvas.width * sliceHeight) * Uint32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n label: 'headsBuffer',\n });\n\n const headsInitBuffer = device.createBuffer({\n size: (1 + canvas.width * sliceHeight) * Uint32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.COPY_SRC,\n mappedAtCreation: true,\n label: 'headsInitBuffer',\n });\n {\n const buffer = new Uint32Array(headsInitBuffer.getMappedRange());\n\n for (let i = 0; i < buffer.length; ++i) {\n buffer[i] = 0xffffffff;\n }\n\n headsInitBuffer.unmap();\n }\n\n const translucentBindGroup = device.createBindGroup({\n layout: translucentBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n label: 'uniforms',\n },\n },\n {\n binding: 1,\n resource: {\n buffer: headsBuffer,\n label: 'headsBuffer',\n },\n },\n {\n binding: 2,\n resource: {\n buffer: linkedListBuffer,\n label: 'linkedListBuffer',\n },\n },\n {\n binding: 3,\n resource: depthTextureView,\n },\n {\n binding: 4,\n resource: {\n buffer: sliceInfoBuffer,\n size: device.limits.minUniformBufferOffsetAlignment,\n label: 'sliceInfoBuffer',\n },\n },\n ],\n label: 'translucentBindGroup',\n });\n\n const compositeBindGroup = device.createBindGroup({\n layout: compositePipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n label: 'uniforms',\n },\n },\n {\n binding: 1,\n resource: {\n buffer: headsBuffer,\n label: 'headsBuffer',\n },\n },\n {\n binding: 2,\n resource: {\n buffer: linkedListBuffer,\n label: 'linkedListBuffer',\n },\n },\n {\n binding: 3,\n resource: {\n buffer: sliceInfoBuffer,\n size: device.limits.minUniformBufferOffsetAlignment,\n label: 'sliceInfoBuffer',\n },\n },\n ],\n });\n\n opaquePassDescriptor.depthStencilAttachment.view = depthTextureView;\n\n // Rotates the camera around the origin based on time.\n function getCameraViewProjMatrix() {\n const aspect = canvas.width / canvas.height;\n\n const projectionMatrix = mat4.perspective(\n (2 * Math.PI) / 5,\n aspect,\n 1,\n 2000.0\n );\n\n const upVector = vec3.fromValues(0, 1, 0);\n const origin = vec3.fromValues(0, 0, 0);\n const eyePosition = vec3.fromValues(0, 5, -100);\n\n const rad = Math.PI * (Date.now() / 5000);\n const rotation = mat4.rotateY(mat4.translation(origin), rad);\n vec3.transformMat4(eyePosition, rotation, eyePosition);\n\n const viewMatrix = mat4.lookAt(eyePosition, origin, upVector);\n\n const viewProjMatrix = mat4.multiply(projectionMatrix, viewMatrix);\n return viewProjMatrix as Float32Array;\n }\n\n return function doDraw() {\n // update the uniform buffer\n {\n const buffer = new ArrayBuffer(uniformBuffer.size);\n\n new Float32Array(buffer).set(getCameraViewProjMatrix());\n new Uint32Array(buffer, 16 * Float32Array.BYTES_PER_ELEMENT).set([\n averageLayersPerFragment * canvas.width * sliceHeight,\n canvas.width,\n ]);\n\n device.queue.writeBuffer(uniformBuffer, 0, buffer);\n }\n\n const commandEncoder = device.createCommandEncoder();\n const textureView = context.getCurrentTexture().createView();\n\n // Draw the opaque objects\n opaquePassDescriptor.colorAttachments[0].view = textureView;\n const opaquePassEncoder =\n commandEncoder.beginRenderPass(opaquePassDescriptor);\n opaquePassEncoder.setPipeline(opaquePipeline);\n opaquePassEncoder.setBindGroup(0, opaqueBindGroup);\n opaquePassEncoder.setVertexBuffer(0, vertexBuffer);\n opaquePassEncoder.setIndexBuffer(indexBuffer, 'uint16');\n opaquePassEncoder.drawIndexed(mesh.triangles.length * 3, 8);\n opaquePassEncoder.end();\n\n for (let slice = 0; slice < numSlices; ++slice) {\n // initialize the heads buffer\n commandEncoder.copyBufferToBuffer(\n headsInitBuffer,\n 0,\n headsBuffer,\n 0,\n headsInitBuffer.size\n );\n\n const scissorX = 0;\n const scissorY = slice * sliceHeight;\n const scissorWidth = canvas.width;\n const scissorHeight =\n Math.min((slice + 1) * sliceHeight, canvas.height) -\n slice * sliceHeight;\n\n // Draw the translucent objects\n translucentPassDescriptor.colorAttachments[0].view = textureView;\n const translucentPassEncoder = commandEncoder.beginRenderPass(\n translucentPassDescriptor\n );\n\n // Set the scissor to only process a horizontal slice of the frame\n translucentPassEncoder.setScissorRect(\n scissorX,\n scissorY,\n scissorWidth,\n scissorHeight\n );\n\n translucentPassEncoder.setPipeline(translucentPipeline);\n translucentPassEncoder.setBindGroup(0, translucentBindGroup, [\n slice * device.limits.minUniformBufferOffsetAlignment,\n ]);\n translucentPassEncoder.setVertexBuffer(0, vertexBuffer);\n translucentPassEncoder.setIndexBuffer(indexBuffer, 'uint16');\n translucentPassEncoder.drawIndexed(mesh.triangles.length * 3, 8);\n translucentPassEncoder.end();\n\n // Composite the opaque and translucent objects\n compositePassDescriptor.colorAttachments[0].view = textureView;\n const compositePassEncoder = commandEncoder.beginRenderPass(\n compositePassDescriptor\n );\n\n // Set the scissor to only process a horizontal slice of the frame\n compositePassEncoder.setScissorRect(\n scissorX,\n scissorY,\n scissorWidth,\n scissorHeight\n );\n\n compositePassEncoder.setPipeline(compositePipeline);\n compositePassEncoder.setBindGroup(0, compositeBindGroup, [\n slice * device.limits.minUniformBufferOffsetAlignment,\n ]);\n compositePassEncoder.draw(6);\n compositePassEncoder.end();\n }\n\n device.queue.submit([commandEncoder.finish()]);\n };\n};\n\nlet doDraw = configure();\n\nconst updateSettings = () => {\n doDraw = configure();\n};\n\nconst gui = new GUI();\ngui\n .add(settings, 'memoryStrategy', ['multipass', 'clamp-pixel-ratio'])\n .onFinishChange(updateSettings);\n\nfunction frame() {\n doDraw();\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../node_modules/teapot/teapot.js","../../../../../meshes/utils.ts","../../../../../meshes/teapot.ts","../../../../../sample/a-buffer/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# 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{ vec3, Vec3 } from 'wgpu-matrix';\n\nexport function computeSurfaceNormals(\n positions: [number, number, number][],\n triangles: [number, number, number][]\n): [number, number, number][] {\n const normals: [number, number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0, 0];\n });\n triangles.forEach(([i0, i1, i2]) => {\n const p0 = positions[i0];\n const p1 = positions[i1];\n const p2 = positions[i2];\n\n const v0 = vec3.subtract(p1, p0);\n const v1 = vec3.subtract(p2, p0);\n\n vec3.normalize(v0, v0);\n vec3.normalize(v1, v1);\n const norm = vec3.cross(v0, v1);\n\n // Accumulate the normals.\n vec3.add(normals[i0], norm, normals[i0]);\n vec3.add(normals[i1], norm, normals[i1]);\n vec3.add(normals[i2], norm, normals[i2]);\n });\n normals.forEach((n) => {\n // Normalize accumulated normals.\n vec3.normalize(n, n);\n });\n\n return normals;\n}\n\nfunction makeTriangleIndicesFn(triangles: [number, number, number][]) {\n let triNdx = 0;\n let vNdx = 0;\n const fn = function () {\n const ndx = triangles[triNdx][vNdx++];\n if (vNdx === 3) {\n vNdx = 0;\n ++triNdx;\n }\n return ndx;\n };\n fn.reset = function () {\n triNdx = 0;\n vNdx = 0;\n };\n fn.numElements = triangles.length * 3;\n return fn;\n}\n\n// adapted from: https://webglfundamentals.org/webgl/lessons/webgl-3d-geometry-lathe.htmls\nexport function generateNormals(\n maxAngle: number,\n positions: [number, number, number][],\n triangles: [number, number, number][]\n) {\n // first compute the normal of each face\n const getNextIndex = makeTriangleIndicesFn(triangles);\n const numFaceVerts = getNextIndex.numElements;\n const numVerts = positions.length;\n const numFaces = numFaceVerts / 3;\n const faceNormals: Vec3[] = [];\n\n // Compute the normal for every face.\n // While doing that, create a new vertex for every face vertex\n for (let i = 0; i < numFaces; ++i) {\n const n1 = getNextIndex();\n const n2 = getNextIndex();\n const n3 = getNextIndex();\n\n const v1 = positions[n1];\n const v2 = positions[n2];\n const v3 = positions[n3];\n\n faceNormals.push(\n vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))\n );\n }\n\n let tempVerts = {};\n let tempVertNdx = 0;\n\n // this assumes vertex positions are an exact match\n\n function getVertIndex(vert: [number, number, number]): number {\n const vertId = JSON.stringify(vert);\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n return newNdx;\n }\n\n // We need to figure out the shared vertices.\n // It's not as simple as looking at the faces (triangles)\n // because for example if we have a standard cylinder\n //\n //\n // 3-4\n // / \\\n // 2 5 Looking down a cylinder starting at S\n // | | and going around to E, E and S are not\n // 1 6 the same vertex in the data we have\n // \\ / as they don't share UV coords.\n // S/E\n //\n // the vertices at the start and end do not share vertices\n // since they have different UVs but if you don't consider\n // them to share vertices they will get the wrong normals\n\n const vertIndices: number[] = [];\n for (let i = 0; i < numVerts; ++i) {\n const vert = positions[i];\n vertIndices.push(getVertIndex(vert));\n }\n\n // go through every vertex and record which faces it's on\n const vertFaces: number[][] = [];\n getNextIndex.reset();\n for (let i = 0; i < numFaces; ++i) {\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n let faces = vertFaces[sharedNdx];\n if (!faces) {\n faces = [];\n vertFaces[sharedNdx] = faces;\n }\n faces.push(i);\n }\n }\n\n // now go through every face and compute the normals for each\n // vertex of the face. Only include faces that aren't more than\n // maxAngle different. Add the result to arrays of newPositions,\n // newTexcoords and newNormals, discarding any vertices that\n // are the same.\n tempVerts = {};\n tempVertNdx = 0;\n const newPositions: [number, number, number][] = [];\n const newNormals: [number, number, number][] = [];\n\n function getNewVertIndex(\n position: [number, number, number],\n normal: [number, number, number]\n ) {\n const vertId = JSON.stringify({ position, normal });\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n newPositions.push(position);\n newNormals.push(normal);\n return newNdx;\n }\n\n const newTriangles: [number, number, number][] = [];\n getNextIndex.reset();\n const maxAngleCos = Math.cos(maxAngle);\n // for each face\n for (let i = 0; i < numFaces; ++i) {\n // get the normal for this face\n const thisFaceNormal = faceNormals[i];\n // for each vertex on the face\n const newTriangle: number[] = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n const faces = vertFaces[sharedNdx];\n const norm = [0, 0, 0] as [number, number, number];\n faces.forEach((faceNdx: number) => {\n // is this face facing the same way\n const otherFaceNormal = faceNormals[faceNdx];\n const dot = vec3.dot(thisFaceNormal, otherFaceNormal);\n if (dot > maxAngleCos) {\n vec3.add(norm, otherFaceNormal, norm);\n }\n });\n vec3.normalize(norm, norm);\n newTriangle.push(getNewVertIndex(positions[ndx], norm));\n }\n newTriangles.push(newTriangle as [number, number, number]);\n }\n\n return {\n positions: newPositions,\n normals: newNormals,\n triangles: newTriangles,\n };\n}\n\ntype ProjectedPlane = 'xy' | 'xz' | 'yz';\n\nconst projectedPlane2Ids: { [key in ProjectedPlane]: [number, number] } = {\n xy: [0, 1],\n xz: [0, 2],\n yz: [1, 2],\n};\n\nexport function computeProjectedPlaneUVs(\n positions: [number, number, number][],\n projectedPlane: ProjectedPlane = 'xy'\n): [number, number][] {\n const idxs = projectedPlane2Ids[projectedPlane];\n const uvs: [number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0];\n });\n const extentMin = [Infinity, Infinity];\n const extentMax = [-Infinity, -Infinity];\n positions.forEach((pos, i) => {\n // Simply project to the selected plane\n uvs[i][0] = pos[idxs[0]];\n uvs[i][1] = pos[idxs[1]];\n\n extentMin[0] = Math.min(pos[idxs[0]], extentMin[0]);\n extentMin[1] = Math.min(pos[idxs[1]], extentMin[1]);\n extentMax[0] = Math.max(pos[idxs[0]], extentMax[0]);\n extentMax[1] = Math.max(pos[idxs[1]], extentMax[1]);\n });\n uvs.forEach((uv) => {\n uv[0] = (uv[0] - extentMin[0]) / (extentMax[0] - extentMin[0]);\n uv[1] = (uv[1] - extentMin[1]) / (extentMax[1] - extentMin[1]);\n });\n return uvs;\n}\n","import teapotData from 'teapot';\nimport { computeSurfaceNormals } from './utils';\n\nexport const mesh = {\n positions: teapotData.positions as [number, number, number][],\n triangles: teapotData.cells as [number, number, number][],\n normals: [] as [number, number, number][],\n};\n\n// Compute surface normals\nmesh.normals = computeSurfaceNormals(mesh.positions, mesh.triangles);\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport { mesh } from '../../meshes/teapot';\n\nimport opaqueWGSL from './opaque.wgsl';\nimport translucentWGSL from './translucent.wgsl';\nimport compositeWGSL from './composite.wgsl';\n\nfunction roundUp(n: number, k: number): number {\n return Math.ceil(n / k) * k;\n}\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'opaque',\n});\n\nconst params = new URLSearchParams(window.location.search);\n\nconst settings = {\n memoryStrategy: params.get('memoryStrategy') || 'multipass',\n};\n\n// Create the model vertex buffer\nconst vertexBuffer = device.createBuffer({\n size: 3 * mesh.positions.length * Float32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n label: 'vertexBuffer',\n});\n{\n const mapping = new Float32Array(vertexBuffer.getMappedRange());\n for (let i = 0; i < mesh.positions.length; ++i) {\n mapping.set(mesh.positions[i], 3 * i);\n }\n vertexBuffer.unmap();\n}\n\n// Create the model index buffer\nconst indexCount = mesh.triangles.length * 3;\nconst indexBuffer = device.createBuffer({\n size: indexCount * Uint16Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n label: 'indexBuffer',\n});\n{\n const mapping = new Uint16Array(indexBuffer.getMappedRange());\n for (let i = 0; i < mesh.triangles.length; ++i) {\n mapping.set(mesh.triangles[i], 3 * i);\n }\n indexBuffer.unmap();\n}\n\n// Uniforms contains:\n// * modelViewProjectionMatrix: mat4x4f\n// * maxStorableFragments: u32\n// * targetWidth: u32\nconst uniformsSize = roundUp(\n 16 * Float32Array.BYTES_PER_ELEMENT + 2 * Uint32Array.BYTES_PER_ELEMENT,\n 16\n);\n\nconst uniformBuffer = device.createBuffer({\n size: uniformsSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n label: 'uniformBuffer',\n});\n\nconst opaqueModule = device.createShaderModule({\n code: opaqueWGSL,\n label: 'opaqueModule',\n});\n\nconst opaquePipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: opaqueModule,\n buffers: [\n {\n arrayStride: 3 * Float32Array.BYTES_PER_ELEMENT,\n attributes: [\n {\n // position\n format: 'float32x3',\n offset: 0,\n shaderLocation: 0,\n },\n ],\n },\n ],\n },\n fragment: {\n module: opaqueModule,\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n label: 'opaquePipeline',\n});\n\nconst opaquePassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined,\n clearValue: [0, 0, 0, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: undefined,\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n label: 'opaquePassDescriptor',\n};\n\nconst opaqueBindGroup = device.createBindGroup({\n layout: opaquePipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n size: 16 * Float32Array.BYTES_PER_ELEMENT,\n label: 'modelViewProjection',\n },\n },\n ],\n label: 'opaquePipeline',\n});\n\nconst translucentModule = device.createShaderModule({\n code: translucentWGSL,\n label: 'translucentModule',\n});\n\nconst translucentBindGroupLayout = device.createBindGroupLayout({\n label: 'translucentBindGroupLayout',\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'storage',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'storage',\n },\n },\n {\n binding: 3,\n visibility: GPUShaderStage.FRAGMENT,\n texture: { sampleType: 'depth' },\n },\n {\n binding: 4,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n hasDynamicOffset: true,\n },\n },\n ],\n});\n\nconst translucentPipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [translucentBindGroupLayout],\n label: 'translucentPipelineLayout',\n }),\n vertex: {\n module: translucentModule,\n buffers: [\n {\n arrayStride: 3 * Float32Array.BYTES_PER_ELEMENT,\n attributes: [\n {\n format: 'float32x3',\n offset: 0,\n shaderLocation: 0,\n },\n ],\n },\n ],\n },\n fragment: {\n module: translucentModule,\n targets: [\n {\n format: presentationFormat,\n writeMask: 0x0,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n label: 'translucentPipeline',\n});\n\nconst translucentPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n loadOp: 'load',\n storeOp: 'store',\n view: undefined,\n },\n ],\n label: 'translucentPassDescriptor',\n};\n\nconst compositeModule = device.createShaderModule({\n code: compositeWGSL,\n label: 'compositeModule',\n});\n\nconst compositeBindGroupLayout = device.createBindGroupLayout({\n label: 'compositeBindGroupLayout',\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'storage',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'storage',\n },\n },\n {\n binding: 3,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n hasDynamicOffset: true,\n },\n },\n ],\n});\n\nconst compositePipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [compositeBindGroupLayout],\n label: 'compositePipelineLayout',\n }),\n vertex: {\n module: compositeModule,\n },\n fragment: {\n module: compositeModule,\n targets: [\n {\n format: presentationFormat,\n blend: {\n color: {\n srcFactor: 'one',\n operation: 'add',\n dstFactor: 'one-minus-src-alpha',\n },\n alpha: {},\n },\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n label: 'compositePipeline',\n});\n\nconst compositePassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined,\n loadOp: 'load',\n storeOp: 'store',\n },\n ],\n label: 'compositePassDescriptor',\n};\n\nconst configure = () => {\n let devicePixelRatio = window.devicePixelRatio;\n\n // The default maximum storage buffer binding size is 128Mib. The amount\n // of memory we need to store transparent fragments depends on the size\n // of the canvas and the average number of layers per fragment we want to\n // support. When the devicePixelRatio is 1, we know that 128Mib is enough\n // to store 4 layers per pixel at 600x600. However, when the device pixel\n // ratio is high enough we will exceed this limit.\n //\n // We provide 2 choices of mitigations to this issue:\n // 1) Clamp the device pixel ratio to a value which we know will not break\n // the limit. The tradeoff here is that the canvas resolution will not\n // match the native resolution and therefore may have a reduction in\n // quality.\n // 2) Break the frame into a series of horizontal slices using the scissor\n // functionality and process a single slice at a time. This limits memory\n // usage because we only need enough memory to process the dimensions\n // of the slice. The tradeoff is the performance reduction due to multiple\n // passes.\n if (settings.memoryStrategy === 'clamp-pixel-ratio') {\n devicePixelRatio = Math.min(window.devicePixelRatio, 3);\n }\n\n canvas.width = canvas.clientWidth * devicePixelRatio;\n canvas.height = canvas.clientHeight * devicePixelRatio;\n\n const depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n label: 'depthTexture',\n });\n\n const depthTextureView = depthTexture.createView({\n label: 'depthTextureView',\n });\n\n // Determines how much memory is allocated to store linked-list elements\n const averageLayersPerFragment = 4;\n\n // Each element stores\n // * color : vec4f\n // * depth : f32\n // * index of next element in the list : u32\n const linkedListElementSize =\n 5 * Float32Array.BYTES_PER_ELEMENT + 1 * Uint32Array.BYTES_PER_ELEMENT;\n\n // We want to keep the linked-list buffer size under the maxStorageBufferBindingSize.\n // Split the frame into enough slices to meet that constraint.\n const bytesPerline =\n canvas.width * averageLayersPerFragment * linkedListElementSize;\n const maxLinesSupported = Math.floor(\n device.limits.maxStorageBufferBindingSize / bytesPerline\n );\n const numSlices = Math.ceil(canvas.height / maxLinesSupported);\n const sliceHeight = Math.ceil(canvas.height / numSlices);\n const linkedListBufferSize = sliceHeight * bytesPerline;\n\n const linkedListBuffer = device.createBuffer({\n size: linkedListBufferSize,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n label: 'linkedListBuffer',\n });\n\n // To slice up the frame we need to pass the starting fragment y position of the slice.\n // We do this using a uniform buffer with a dynamic offset.\n const sliceInfoBuffer = device.createBuffer({\n size: numSlices * device.limits.minUniformBufferOffsetAlignment,\n usage: GPUBufferUsage.UNIFORM,\n mappedAtCreation: true,\n label: 'sliceInfoBuffer',\n });\n {\n const mapping = new Int32Array(sliceInfoBuffer.getMappedRange());\n\n // This assumes minUniformBufferOffsetAlignment is a multiple of 4\n const stride =\n device.limits.minUniformBufferOffsetAlignment /\n Int32Array.BYTES_PER_ELEMENT;\n for (let i = 0; i < numSlices; ++i) {\n mapping[i * stride] = i * sliceHeight;\n }\n sliceInfoBuffer.unmap();\n }\n\n // `Heads` struct contains the start index of the linked-list of translucent fragments\n // for a given pixel.\n // * numFragments : u32\n // * data : array\n const headsBuffer = device.createBuffer({\n size: (1 + canvas.width * sliceHeight) * Uint32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n label: 'headsBuffer',\n });\n\n const headsInitBuffer = device.createBuffer({\n size: (1 + canvas.width * sliceHeight) * Uint32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.COPY_SRC,\n mappedAtCreation: true,\n label: 'headsInitBuffer',\n });\n {\n const buffer = new Uint32Array(headsInitBuffer.getMappedRange());\n\n for (let i = 0; i < buffer.length; ++i) {\n buffer[i] = 0xffffffff;\n }\n\n headsInitBuffer.unmap();\n }\n\n const translucentBindGroup = device.createBindGroup({\n layout: translucentBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n label: 'uniforms',\n },\n },\n {\n binding: 1,\n resource: {\n buffer: headsBuffer,\n label: 'headsBuffer',\n },\n },\n {\n binding: 2,\n resource: {\n buffer: linkedListBuffer,\n label: 'linkedListBuffer',\n },\n },\n {\n binding: 3,\n resource: depthTextureView,\n },\n {\n binding: 4,\n resource: {\n buffer: sliceInfoBuffer,\n size: device.limits.minUniformBufferOffsetAlignment,\n label: 'sliceInfoBuffer',\n },\n },\n ],\n label: 'translucentBindGroup',\n });\n\n const compositeBindGroup = device.createBindGroup({\n layout: compositePipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n label: 'uniforms',\n },\n },\n {\n binding: 1,\n resource: {\n buffer: headsBuffer,\n label: 'headsBuffer',\n },\n },\n {\n binding: 2,\n resource: {\n buffer: linkedListBuffer,\n label: 'linkedListBuffer',\n },\n },\n {\n binding: 3,\n resource: {\n buffer: sliceInfoBuffer,\n size: device.limits.minUniformBufferOffsetAlignment,\n label: 'sliceInfoBuffer',\n },\n },\n ],\n });\n\n opaquePassDescriptor.depthStencilAttachment.view = depthTextureView;\n\n // Rotates the camera around the origin based on time.\n function getCameraViewProjMatrix() {\n const aspect = canvas.width / canvas.height;\n\n const projectionMatrix = mat4.perspective(\n (2 * Math.PI) / 5,\n aspect,\n 1,\n 2000.0\n );\n\n const upVector = vec3.fromValues(0, 1, 0);\n const origin = vec3.fromValues(0, 0, 0);\n const eyePosition = vec3.fromValues(0, 5, -100);\n\n const rad = Math.PI * (Date.now() / 5000);\n const rotation = mat4.rotateY(mat4.translation(origin), rad);\n vec3.transformMat4(eyePosition, rotation, eyePosition);\n\n const viewMatrix = mat4.lookAt(eyePosition, origin, upVector);\n\n const viewProjMatrix = mat4.multiply(projectionMatrix, viewMatrix);\n return viewProjMatrix;\n }\n\n return function doDraw() {\n // update the uniform buffer\n {\n const buffer = new ArrayBuffer(uniformBuffer.size);\n\n new Float32Array(buffer).set(getCameraViewProjMatrix());\n new Uint32Array(buffer, 16 * Float32Array.BYTES_PER_ELEMENT).set([\n averageLayersPerFragment * canvas.width * sliceHeight,\n canvas.width,\n ]);\n\n device.queue.writeBuffer(uniformBuffer, 0, buffer);\n }\n\n const commandEncoder = device.createCommandEncoder();\n const textureView = context.getCurrentTexture().createView();\n\n // Draw the opaque objects\n opaquePassDescriptor.colorAttachments[0].view = textureView;\n const opaquePassEncoder =\n commandEncoder.beginRenderPass(opaquePassDescriptor);\n opaquePassEncoder.setPipeline(opaquePipeline);\n opaquePassEncoder.setBindGroup(0, opaqueBindGroup);\n opaquePassEncoder.setVertexBuffer(0, vertexBuffer);\n opaquePassEncoder.setIndexBuffer(indexBuffer, 'uint16');\n opaquePassEncoder.drawIndexed(mesh.triangles.length * 3, 8);\n opaquePassEncoder.end();\n\n for (let slice = 0; slice < numSlices; ++slice) {\n // initialize the heads buffer\n commandEncoder.copyBufferToBuffer(\n headsInitBuffer,\n 0,\n headsBuffer,\n 0,\n headsInitBuffer.size\n );\n\n const scissorX = 0;\n const scissorY = slice * sliceHeight;\n const scissorWidth = canvas.width;\n const scissorHeight =\n Math.min((slice + 1) * sliceHeight, canvas.height) -\n slice * sliceHeight;\n\n // Draw the translucent objects\n translucentPassDescriptor.colorAttachments[0].view = textureView;\n const translucentPassEncoder = commandEncoder.beginRenderPass(\n translucentPassDescriptor\n );\n\n // Set the scissor to only process a horizontal slice of the frame\n translucentPassEncoder.setScissorRect(\n scissorX,\n scissorY,\n scissorWidth,\n scissorHeight\n );\n\n translucentPassEncoder.setPipeline(translucentPipeline);\n translucentPassEncoder.setBindGroup(0, translucentBindGroup, [\n slice * device.limits.minUniformBufferOffsetAlignment,\n ]);\n translucentPassEncoder.setVertexBuffer(0, vertexBuffer);\n translucentPassEncoder.setIndexBuffer(indexBuffer, 'uint16');\n translucentPassEncoder.drawIndexed(mesh.triangles.length * 3, 8);\n translucentPassEncoder.end();\n\n // Composite the opaque and translucent objects\n compositePassDescriptor.colorAttachments[0].view = textureView;\n const compositePassEncoder = commandEncoder.beginRenderPass(\n compositePassDescriptor\n );\n\n // Set the scissor to only process a horizontal slice of the frame\n compositePassEncoder.setScissorRect(\n scissorX,\n scissorY,\n scissorWidth,\n scissorHeight\n );\n\n compositePassEncoder.setPipeline(compositePipeline);\n compositePassEncoder.setBindGroup(0, compositeBindGroup, [\n slice * device.limits.minUniformBufferOffsetAlignment,\n ]);\n compositePassEncoder.draw(6);\n compositePassEncoder.end();\n }\n\n device.queue.submit([commandEncoder.finish()]);\n };\n};\n\nlet doDraw = configure();\n\nconst updateSettings = () => {\n doDraw = configure();\n};\n\nconst gui = new GUI();\ngui\n .add(settings, 'memoryStrategy', ['multipass', 'clamp-pixel-ratio'])\n .onFinishChange(updateSettings);\n\nfunction frame() {\n doDraw();\n\n 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\ No newline at end of file diff --git a/sample/a-buffer/main.ts b/sample/a-buffer/main.ts index 7707f93e..f4713ffa 100644 --- a/sample/a-buffer/main.ts +++ b/sample/a-buffer/main.ts @@ -534,7 +534,7 @@ const configure = () => { const viewMatrix = mat4.lookAt(eyePosition, origin, upVector); const viewProjMatrix = mat4.multiply(projectionMatrix, viewMatrix); - return viewProjMatrix as Float32Array; + return viewProjMatrix; } return function doDraw() { diff --git a/sample/cameras/main.js b/sample/cameras/main.js index 61abaa64..121c715b 100644 --- a/sample/cameras/main.js +++ b/sample/cameras/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * + * Generates am typed API for Vec3 */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); } - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +744,4747 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Transforms vec3 by 3x3 matrix + +/* + * Copyright 2022 Gregg Tavares * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} /** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; } - return copy$3(a, dst); + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * Vec4 math functions. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. - * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate$1 = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate$1, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -5103,7 +8063,7 @@ class CameraBase { 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, ]); // The calculated view matrix - view_ = mat4Impl.create(); + view_ = mat4.create(); // Aliases to column vectors of the matrix right_ = new Float32Array(this.matrix_.buffer, 4 * 0, 4); up_ = new Float32Array(this.matrix_.buffer, 4 * 4, 4); @@ -5115,7 +8075,7 @@ class CameraBase { } // Assigns `mat` to the camera matrix set matrix(mat) { - mat4Impl.copy(mat, this.matrix_); + mat4.copy(mat, this.matrix_); } // Returns the camera view matrix get view() { @@ -5123,7 +8083,7 @@ class CameraBase { } // Assigns `mat` to the camera view set view(mat) { - mat4Impl.copy(mat, this.view_); + mat4.copy(mat, this.view_); } // Returns column vector 0 of the camera matrix get right() { @@ -5131,7 +8091,7 @@ class CameraBase { } // Assigns `vec` to the first 3 elements of column vector 0 of the camera matrix set right(vec) { - vec3Impl.copy(vec, this.right_); + vec3.copy(vec, this.right_); } // Returns column vector 1 of the camera matrix get up() { @@ -5139,7 +8099,7 @@ class CameraBase { } // Assigns `vec` to the first 3 elements of column vector 1 of the camera matrix set up(vec) { - vec3Impl.copy(vec, this.up_); + vec3.copy(vec, this.up_); } // Returns column vector 2 of the camera matrix get back() { @@ -5147,7 +8107,7 @@ class CameraBase { } // Assigns `vec` to the first 3 elements of column vector 2 of the camera matrix set back(vec) { - vec3Impl.copy(vec, this.back_); + vec3.copy(vec, this.back_); } // Returns column vector 3 of the camera matrix get position() { @@ -5155,7 +8115,7 @@ class CameraBase { } // Assigns `vec` to the first 3 elements of column vector 3 of the camera matrix set position(vec) { - vec3Impl.copy(vec, this.position_); + vec3.copy(vec, this.position_); } } // WASDCamera is a camera implementation that behaves similar to first-person-shooter PC games. @@ -5165,7 +8125,7 @@ class WASDCamera extends CameraBase { // The camera absolute yaw angle yaw = 0; // The movement veloicty - velocity_ = vec3Impl.create(); + velocity_ = vec3.create(); // Speed multiplier for camera movement movementSpeed = 10; // Speed multiplier for camera rotation @@ -5180,15 +8140,15 @@ class WASDCamera extends CameraBase { } // Assigns `vec` to the velocity vector set velocity(vec) { - vec3Impl.copy(vec, this.velocity_); + vec3.copy(vec, this.velocity_); } // Construtor constructor(options) { super(); if (options && (options.position || options.target)) { - const position = options.position ?? vec3Impl.create(0, 0, -5); - const target = options.target ?? vec3Impl.create(0, 0, 0); - const back = vec3Impl.normalize(vec3Impl.sub(position, target)); + const position = options.position ?? vec3.create(0, 0, -5); + const target = options.target ?? vec3.create(0, 0, 0); + const back = vec3.normalize(vec3.sub(position, target)); this.recalculateAngles(back); this.position = position; } @@ -5212,26 +8172,26 @@ class WASDCamera extends CameraBase { // Clamp pitch between [-90° .. +90°] to prevent somersaults. this.pitch = clamp(this.pitch, -Math.PI / 2, Math.PI / 2); // Save the current position, as we're about to rebuild the camera matrix. - const position = vec3Impl.copy(this.position); + const position = vec3.copy(this.position); // Reconstruct the camera's rotation, and store into the camera matrix. - super.matrix = mat4Impl.rotateX(mat4Impl.rotationY(this.yaw), this.pitch); + super.matrix = mat4.rotateX(mat4.rotationY(this.yaw), this.pitch); // Calculate the new target velocity const digital = input.digital; const deltaRight = sign(digital.right, digital.left); const deltaUp = sign(digital.up, digital.down); - const targetVelocity = vec3Impl.create(); + const targetVelocity = vec3.create(); const deltaBack = sign(digital.backward, digital.forward); - vec3Impl.addScaled(targetVelocity, this.right, deltaRight, targetVelocity); - vec3Impl.addScaled(targetVelocity, this.up, deltaUp, targetVelocity); - vec3Impl.addScaled(targetVelocity, this.back, deltaBack, targetVelocity); - vec3Impl.normalize(targetVelocity, targetVelocity); - vec3Impl.mulScalar(targetVelocity, this.movementSpeed, targetVelocity); + vec3.addScaled(targetVelocity, this.right, deltaRight, targetVelocity); + vec3.addScaled(targetVelocity, this.up, deltaUp, targetVelocity); + vec3.addScaled(targetVelocity, this.back, deltaBack, targetVelocity); + vec3.normalize(targetVelocity, targetVelocity); + vec3.mulScalar(targetVelocity, this.movementSpeed, targetVelocity); // Mix new target velocity this.velocity = lerp(targetVelocity, this.velocity, Math.pow(1 - this.frictionCoefficient, deltaTime)); // Integrate velocity to calculate new position - this.position = vec3Impl.addScaled(position, this.velocity, deltaTime); + this.position = vec3.addScaled(position, this.velocity, deltaTime); // Invert the camera matrix to build the view matrix - this.view = mat4Impl.invert(this.matrix); + this.view = mat4.invert(this.matrix); return this.view; } // Recalculates the yaw and pitch values from a directional vector @@ -5247,14 +8207,14 @@ class ArcballCamera extends CameraBase { // The current angular velocity angularVelocity = 0; // The current rotation axis - axis_ = vec3Impl.create(); + axis_ = vec3.create(); // Returns the rotation axis get axis() { return this.axis_; } // Assigns `vec` to the rotation axis set axis(vec) { - vec3Impl.copy(vec, this.axis_); + vec3.copy(vec, this.axis_); } // Speed multiplier for camera rotation rotationSpeed = 1; @@ -5269,8 +8229,8 @@ class ArcballCamera extends CameraBase { super(); if (options && options.position) { this.position = options.position; - this.distance = vec3Impl.len(this.position); - this.back = vec3Impl.normalize(this.position); + this.distance = vec3.len(this.position); + this.back = vec3.normalize(this.position); this.recalcuateRight(); this.recalcuateUp(); } @@ -5282,7 +8242,7 @@ class ArcballCamera extends CameraBase { // Assigns `mat` to the camera matrix, and recalcuates the distance set matrix(mat) { super.matrix = mat; - this.distance = vec3Impl.len(this.position); + this.distance = vec3.len(this.position); } update(deltaTime, input) { const epsilon = 0.0000001; @@ -5295,16 +8255,16 @@ class ArcballCamera extends CameraBase { this.angularVelocity *= Math.pow(1 - this.frictionCoefficient, deltaTime); } // Calculate the movement vector - const movement = vec3Impl.create(); - vec3Impl.addScaled(movement, this.right, input.analog.x, movement); - vec3Impl.addScaled(movement, this.up, -input.analog.y, movement); + const movement = vec3.create(); + vec3.addScaled(movement, this.right, input.analog.x, movement); + vec3.addScaled(movement, this.up, -input.analog.y, movement); // Cross the movement vector with the view direction to calculate the rotation axis x magnitude - const crossProduct = vec3Impl.cross(movement, this.back); + const crossProduct = vec3.cross(movement, this.back); // Calculate the magnitude of the drag - const magnitude = vec3Impl.len(crossProduct); + const magnitude = vec3.len(crossProduct); if (magnitude > epsilon) { // Normalize the crossProduct to get the rotation axis - this.axis = vec3Impl.scale(crossProduct, 1 / magnitude); + this.axis = vec3.scale(crossProduct, 1 / magnitude); // Remember the current angular velocity. This is used when the touch is released for a fling. this.angularVelocity = magnitude * this.rotationSpeed; } @@ -5314,7 +8274,7 @@ class ArcballCamera extends CameraBase { // Rotate the matrix around axis // Note: The rotation is not done as a matrix-matrix multiply as the repeated multiplications // will quickly introduce substantial error into the matrix. - this.back = vec3Impl.normalize(rotate(this.back, this.axis, rotationAngle)); + this.back = vec3.normalize(rotate(this.back, this.axis, rotationAngle)); this.recalcuateRight(); this.recalcuateUp(); } @@ -5322,18 +8282,18 @@ class ArcballCamera extends CameraBase { if (input.analog.zoom !== 0) { this.distance *= 1 + input.analog.zoom * this.zoomSpeed; } - this.position = vec3Impl.scale(this.back, this.distance); + this.position = vec3.scale(this.back, this.distance); // Invert the camera matrix to build the view matrix - this.view = mat4Impl.invert(this.matrix); + this.view = mat4.invert(this.matrix); return this.view; } // Assigns `this.right` with the cross product of `this.up` and `this.back` recalcuateRight() { - this.right = vec3Impl.normalize(vec3Impl.cross(this.up, this.back)); + this.right = vec3.normalize(vec3.cross(this.up, this.back)); } // Assigns `this.up` with the cross product of `this.back` and `this.right` recalcuateUp() { - this.up = vec3Impl.normalize(vec3Impl.cross(this.back, this.right)); + this.up = vec3.normalize(vec3.cross(this.back, this.right)); } } // Returns `x` clamped between [`min` .. `max`] @@ -5346,11 +8306,11 @@ function mod(x, div) { } // Returns `vec` rotated `angle` radians around `axis` function rotate(vec, axis, angle) { - return vec3Impl.transformMat4Upper3x3(vec, mat4Impl.rotation(axis, angle)); + return vec3.transformMat4Upper3x3(vec, mat4.rotation(axis, angle)); } // Returns the linear interpolation between 'a' and 'b' using 's' function lerp(a, b, s) { - return vec3Impl.addScaled(a, vec3Impl.sub(b, a), s); + return vec3.addScaled(a, vec3.sub(b, a), s); } // createInputHandler returns an InputHandler by attaching event handlers to the window and canvas. @@ -5453,7 +8413,7 @@ const canvas = document.querySelector('canvas'); // The input handler const inputHandler = createInputHandler(window, canvas); // The camera types -const initialCameraPosition = vec3Impl.create(3, 2, 5); +const initialCameraPosition = vec3.create(3, 2, 5); const cameras = { arcball: new ArcballCamera({ position: initialCameraPosition }), WASD: new WASDCamera({ position: initialCameraPosition }), @@ -5602,12 +8562,12 @@ const renderPassDescriptor = { }, }; const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); -const modelViewProjectionMatrix = mat4Impl.create(); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); +const modelViewProjectionMatrix = mat4.create(); function getModelViewProjectionMatrix(deltaTime) { const camera = cameras[params.type]; const viewMatrix = camera.update(deltaTime, inputHandler()); - mat4Impl.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); + mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); return modelViewProjectionMatrix; } let lastFrameMS = Date.now(); diff --git a/sample/cameras/main.js.map b/sample/cameras/main.js.map index 1519d361..a9f37d56 100644 --- a/sample/cameras/main.js.map +++ b/sample/cameras/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../meshes/cube.ts","../../../../../sample/cameras/camera.ts","../../../../../sample/cameras/input.ts","../../../../../sample/cameras/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","// Note: The code in this file does not use the 'dst' output parameter of functions in the\n// 'wgpu-matrix' library, so produces many temporary vectors and matrices.\n// This is intentional, as this sample prefers readability over performance.\nimport { Mat4, Vec3, Vec4, mat4, vec3 } from 'wgpu-matrix';\nimport Input from './input';\n\n// Common interface for camera implementations\nexport default interface Camera {\n // update updates the camera using the user-input and returns the view matrix.\n update(delta_time: number, input: Input): Mat4;\n\n // The camera matrix.\n // This is the inverse of the view matrix.\n matrix: Mat4;\n // Alias to column vector 0 of the camera matrix.\n right: Vec4;\n // Alias to column vector 1 of the camera matrix.\n up: Vec4;\n // Alias to column vector 2 of the camera matrix.\n back: Vec4;\n // Alias to column vector 3 of the camera matrix.\n position: Vec4;\n}\n\n// The common functionality between camera implementations\nclass CameraBase {\n // The camera matrix\n private matrix_ = new Float32Array([\n 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1,\n ]);\n\n // The calculated view matrix\n private readonly view_ = mat4.create();\n\n // Aliases to column vectors of the matrix\n private right_ = new Float32Array(this.matrix_.buffer, 4 * 0, 4);\n private up_ = new Float32Array(this.matrix_.buffer, 4 * 4, 4);\n private back_ = new Float32Array(this.matrix_.buffer, 4 * 8, 4);\n private position_ = new Float32Array(this.matrix_.buffer, 4 * 12, 4);\n\n // Returns the camera matrix\n get matrix() {\n return this.matrix_;\n }\n // Assigns `mat` to the camera matrix\n set matrix(mat: Mat4) {\n mat4.copy(mat, this.matrix_);\n }\n\n // Returns the camera view matrix\n get view() {\n return this.view_;\n }\n // Assigns `mat` to the camera view\n set view(mat: Mat4) {\n mat4.copy(mat, this.view_);\n }\n\n // Returns column vector 0 of the camera matrix\n get right() {\n return this.right_;\n }\n // Assigns `vec` to the first 3 elements of column vector 0 of the camera matrix\n set right(vec: Vec3) {\n vec3.copy(vec, this.right_);\n }\n\n // Returns column vector 1 of the camera matrix\n get up() {\n return this.up_;\n }\n // Assigns `vec` to the first 3 elements of column vector 1 of the camera matrix\n set up(vec: Vec3) {\n vec3.copy(vec, this.up_);\n }\n\n // Returns column vector 2 of the camera matrix\n get back() {\n return this.back_;\n }\n // Assigns `vec` to the first 3 elements of column vector 2 of the camera matrix\n set back(vec: Vec3) {\n vec3.copy(vec, this.back_);\n }\n\n // Returns column vector 3 of the camera matrix\n get position() {\n return this.position_;\n }\n // Assigns `vec` to the first 3 elements of column vector 3 of the camera matrix\n set position(vec: Vec3) {\n vec3.copy(vec, this.position_);\n }\n}\n\n// WASDCamera is a camera implementation that behaves similar to first-person-shooter PC games.\nexport class WASDCamera extends CameraBase implements Camera {\n // The camera absolute pitch angle\n private pitch = 0;\n // The camera absolute yaw angle\n private yaw = 0;\n\n // The movement veloicty\n private readonly velocity_ = vec3.create();\n\n // Speed multiplier for camera movement\n movementSpeed = 10;\n\n // Speed multiplier for camera rotation\n rotationSpeed = 1;\n\n // Movement velocity drag coeffient [0 .. 1]\n // 0: Continues forever\n // 1: Instantly stops moving\n frictionCoefficient = 0.99;\n\n // Returns velocity vector\n get velocity() {\n return this.velocity_;\n }\n // Assigns `vec` to the velocity vector\n set velocity(vec: Vec3) {\n vec3.copy(vec, this.velocity_);\n }\n\n // Construtor\n constructor(options?: {\n // The initial position of the camera\n position?: Vec3;\n // The initial target of the camera\n target?: Vec3;\n }) {\n super();\n if (options && (options.position || options.target)) {\n const position = options.position ?? vec3.create(0, 0, -5);\n const target = options.target ?? vec3.create(0, 0, 0);\n const back = vec3.normalize(vec3.sub(position, target));\n this.recalculateAngles(back);\n this.position = position;\n }\n }\n\n // Returns the camera matrix\n get matrix() {\n return super.matrix;\n }\n\n // Assigns `mat` to the camera matrix, and recalcuates the camera angles\n set matrix(mat: Mat4) {\n super.matrix = mat;\n this.recalculateAngles(this.back);\n }\n\n update(deltaTime: number, input: Input): Mat4 {\n const sign = (positive: boolean, negative: boolean) =>\n (positive ? 1 : 0) - (negative ? 1 : 0);\n\n // Apply the delta rotation to the pitch and yaw angles\n this.yaw -= input.analog.x * deltaTime * this.rotationSpeed;\n this.pitch -= input.analog.y * deltaTime * this.rotationSpeed;\n\n // Wrap yaw between [0° .. 360°], just to prevent large accumulation.\n this.yaw = mod(this.yaw, Math.PI * 2);\n // Clamp pitch between [-90° .. +90°] to prevent somersaults.\n this.pitch = clamp(this.pitch, -Math.PI / 2, Math.PI / 2);\n\n // Save the current position, as we're about to rebuild the camera matrix.\n const position = vec3.copy(this.position);\n\n // Reconstruct the camera's rotation, and store into the camera matrix.\n super.matrix = mat4.rotateX(mat4.rotationY(this.yaw), this.pitch);\n\n // Calculate the new target velocity\n const digital = input.digital;\n const deltaRight = sign(digital.right, digital.left);\n const deltaUp = sign(digital.up, digital.down);\n const targetVelocity = vec3.create();\n const deltaBack = sign(digital.backward, digital.forward);\n vec3.addScaled(targetVelocity, this.right, deltaRight, targetVelocity);\n vec3.addScaled(targetVelocity, this.up, deltaUp, targetVelocity);\n vec3.addScaled(targetVelocity, this.back, deltaBack, targetVelocity);\n vec3.normalize(targetVelocity, targetVelocity);\n vec3.mulScalar(targetVelocity, this.movementSpeed, targetVelocity);\n\n // Mix new target velocity\n this.velocity = lerp(\n targetVelocity,\n this.velocity,\n Math.pow(1 - this.frictionCoefficient, deltaTime)\n );\n\n // Integrate velocity to calculate new position\n this.position = vec3.addScaled(position, this.velocity, deltaTime);\n\n // Invert the camera matrix to build the view matrix\n this.view = mat4.invert(this.matrix);\n return this.view;\n }\n\n // Recalculates the yaw and pitch values from a directional vector\n recalculateAngles(dir: Vec3) {\n this.yaw = Math.atan2(dir[0], dir[2]);\n this.pitch = -Math.asin(dir[1]);\n }\n}\n\n// ArcballCamera implements a basic orbiting camera around the world origin\nexport class ArcballCamera extends CameraBase implements Camera {\n // The camera distance from the target\n private distance = 0;\n\n // The current angular velocity\n private angularVelocity = 0;\n\n // The current rotation axis\n private axis_ = vec3.create();\n\n // Returns the rotation axis\n get axis() {\n return this.axis_;\n }\n // Assigns `vec` to the rotation axis\n set axis(vec: Vec3) {\n vec3.copy(vec, this.axis_);\n }\n\n // Speed multiplier for camera rotation\n rotationSpeed = 1;\n\n // Speed multiplier for camera zoom\n zoomSpeed = 0.1;\n\n // Rotation velocity drag coeffient [0 .. 1]\n // 0: Spins forever\n // 1: Instantly stops spinning\n frictionCoefficient = 0.999;\n\n // Construtor\n constructor(options?: {\n // The initial position of the camera\n position?: Vec3;\n }) {\n super();\n if (options && options.position) {\n this.position = options.position;\n this.distance = vec3.len(this.position);\n this.back = vec3.normalize(this.position);\n this.recalcuateRight();\n this.recalcuateUp();\n }\n }\n\n // Returns the camera matrix\n get matrix() {\n return super.matrix;\n }\n\n // Assigns `mat` to the camera matrix, and recalcuates the distance\n set matrix(mat: Mat4) {\n super.matrix = mat;\n this.distance = vec3.len(this.position);\n }\n\n update(deltaTime: number, input: Input): Mat4 {\n const epsilon = 0.0000001;\n\n if (input.analog.touching) {\n // Currently being dragged.\n this.angularVelocity = 0;\n } else {\n // Dampen any existing angular velocity\n this.angularVelocity *= Math.pow(1 - this.frictionCoefficient, deltaTime);\n }\n\n // Calculate the movement vector\n const movement = vec3.create();\n vec3.addScaled(movement, this.right, input.analog.x, movement);\n vec3.addScaled(movement, this.up, -input.analog.y, movement);\n\n // Cross the movement vector with the view direction to calculate the rotation axis x magnitude\n const crossProduct = vec3.cross(movement, this.back);\n\n // Calculate the magnitude of the drag\n const magnitude = vec3.len(crossProduct);\n\n if (magnitude > epsilon) {\n // Normalize the crossProduct to get the rotation axis\n this.axis = vec3.scale(crossProduct, 1 / magnitude);\n\n // Remember the current angular velocity. This is used when the touch is released for a fling.\n this.angularVelocity = magnitude * this.rotationSpeed;\n }\n\n // The rotation around this.axis to apply to the camera matrix this update\n const rotationAngle = this.angularVelocity * deltaTime;\n if (rotationAngle > epsilon) {\n // Rotate the matrix around axis\n // Note: The rotation is not done as a matrix-matrix multiply as the repeated multiplications\n // will quickly introduce substantial error into the matrix.\n this.back = vec3.normalize(rotate(this.back, this.axis, rotationAngle));\n this.recalcuateRight();\n this.recalcuateUp();\n }\n\n // recalculate `this.position` from `this.back` considering zoom\n if (input.analog.zoom !== 0) {\n this.distance *= 1 + input.analog.zoom * this.zoomSpeed;\n }\n this.position = vec3.scale(this.back, this.distance);\n\n // Invert the camera matrix to build the view matrix\n this.view = mat4.invert(this.matrix);\n return this.view;\n }\n\n // Assigns `this.right` with the cross product of `this.up` and `this.back`\n recalcuateRight() {\n this.right = vec3.normalize(vec3.cross(this.up, this.back));\n }\n\n // Assigns `this.up` with the cross product of `this.back` and `this.right`\n recalcuateUp() {\n this.up = vec3.normalize(vec3.cross(this.back, this.right));\n }\n}\n\n// Returns `x` clamped between [`min` .. `max`]\nfunction clamp(x: number, min: number, max: number): number {\n return Math.min(Math.max(x, min), max);\n}\n\n// Returns `x` float-modulo `div`\nfunction mod(x: number, div: number): number {\n return x - Math.floor(Math.abs(x) / div) * div * Math.sign(x);\n}\n\n// Returns `vec` rotated `angle` radians around `axis`\nfunction rotate(vec: Vec3, axis: Vec3, angle: number): Vec3 {\n return vec3.transformMat4Upper3x3(vec, mat4.rotation(axis, angle));\n}\n\n// Returns the linear interpolation between 'a' and 'b' using 's'\nfunction lerp(a: Vec3, b: Vec3, s: number): Vec3 {\n return vec3.addScaled(a, vec3.sub(b, a), s);\n}\n","// Input holds as snapshot of input state\nexport default interface Input {\n // Digital input (e.g keyboard state)\n readonly digital: {\n readonly forward: boolean;\n readonly backward: boolean;\n readonly left: boolean;\n readonly right: boolean;\n readonly up: boolean;\n readonly down: boolean;\n };\n // Analog input (e.g mouse, touchscreen)\n readonly analog: {\n readonly x: number;\n readonly y: number;\n readonly zoom: number;\n readonly touching: boolean;\n };\n}\n\n// InputHandler is a function that when called, returns the current Input state.\nexport type InputHandler = () => Input;\n\n// createInputHandler returns an InputHandler by attaching event handlers to the window and canvas.\nexport function createInputHandler(\n window: Window,\n canvas: HTMLCanvasElement\n): InputHandler {\n const digital = {\n forward: false,\n backward: false,\n left: false,\n right: false,\n up: false,\n down: false,\n };\n const analog = {\n x: 0,\n y: 0,\n zoom: 0,\n };\n let mouseDown = false;\n\n const setDigital = (e: KeyboardEvent, value: boolean) => {\n switch (e.code) {\n case 'KeyW':\n digital.forward = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'KeyS':\n digital.backward = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'KeyA':\n digital.left = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'KeyD':\n digital.right = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'Space':\n digital.up = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'ShiftLeft':\n case 'ControlLeft':\n case 'KeyC':\n digital.down = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n }\n };\n\n window.addEventListener('keydown', (e) => setDigital(e, true));\n window.addEventListener('keyup', (e) => setDigital(e, false));\n\n canvas.style.touchAction = 'pinch-zoom';\n canvas.addEventListener('pointerdown', () => {\n mouseDown = true;\n });\n canvas.addEventListener('pointerup', () => {\n mouseDown = false;\n });\n canvas.addEventListener('pointermove', (e) => {\n mouseDown = e.pointerType == 'mouse' ? (e.buttons & 1) !== 0 : true;\n if (mouseDown) {\n analog.x += e.movementX;\n analog.y += e.movementY;\n }\n });\n canvas.addEventListener(\n 'wheel',\n (e) => {\n mouseDown = (e.buttons & 1) !== 0;\n if (mouseDown) {\n // The scroll value varies substantially between user agents / browsers.\n // Just use the sign.\n analog.zoom += Math.sign(e.deltaY);\n e.preventDefault();\n e.stopPropagation();\n }\n },\n { passive: false }\n );\n\n return () => {\n const out = {\n digital,\n analog: {\n x: analog.x,\n y: analog.y,\n zoom: analog.zoom,\n touching: mouseDown,\n },\n };\n // Clear the analog values, as these accumulate.\n analog.x = 0;\n analog.y = 0;\n analog.zoom = 0;\n return out;\n };\n}\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\nimport cubeWGSL from './cube.wgsl';\nimport { ArcballCamera, WASDCamera } from './camera';\nimport { createInputHandler } from './input';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\n\n// The input handler\nconst inputHandler = createInputHandler(window, canvas);\n\n// The camera types\nconst initialCameraPosition = vec3.create(3, 2, 5);\nconst cameras = {\n arcball: new ArcballCamera({ position: initialCameraPosition }),\n WASD: new WASDCamera({ position: initialCameraPosition }),\n};\n\nconst gui = new GUI();\n\n// GUI parameters\nconst params: { type: 'arcball' | 'WASD' } = {\n type: 'arcball',\n};\n\n// Callback handler for camera mode\nlet oldCameraType = params.type;\ngui.add(params, 'type', ['arcball', 'WASD']).onChange(() => {\n // Copy the camera matrix from old to new\n const newCameraType = params.type;\n cameras[newCameraType].matrix = cameras[oldCameraType].matrix;\n oldCameraType = newCameraType;\n});\n\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: cubeWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: cubeWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// Fetch the image and upload it into a GPUTexture.\nlet cubeTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/Di-3d.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n cubeTexture = device.createTexture({\n size: [imageBitmap.width, imageBitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: cubeTexture },\n [imageBitmap.width, imageBitmap.height]\n );\n}\n\n// Create a sampler with linear filtering for smooth interpolation.\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: cubeTexture.createView(),\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nfunction getModelViewProjectionMatrix(deltaTime: number) {\n const camera = cameras[params.type];\n const viewMatrix = camera.update(deltaTime, inputHandler());\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n return modelViewProjectionMatrix as Float32Array;\n}\n\nlet lastFrameMS = Date.now();\n\nfunction frame() {\n const now = Date.now();\n const deltaTime = (now - lastFrameMS) / 1000;\n lastFrameMS = now;\n\n const modelViewProjection = getModelViewProjectionMatrix(deltaTime);\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n modelViewProjection.buffer,\n modelViewProjection.byteOffset,\n modelViewProjection.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.draw(cubeVertexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../meshes/cube.ts","../../../../../sample/cameras/camera.ts","../../../../../sample/cameras/input.ts","../../../../../sample/cameras/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","// Note: The code in this file does not use the 'dst' output parameter of functions in the\n// 'wgpu-matrix' library, so produces many temporary vectors and matrices.\n// This is intentional, as this sample prefers readability over performance.\nimport { Mat4, Vec3, Vec4, mat4, vec3 } from 'wgpu-matrix';\nimport Input from './input';\n\n// Common interface for camera implementations\nexport default interface Camera {\n // update updates the camera using the user-input and returns the view matrix.\n update(delta_time: number, input: Input): Mat4;\n\n // The camera matrix.\n // This is the inverse of the view matrix.\n matrix: Mat4;\n // Alias to column vector 0 of the camera matrix.\n right: Vec4;\n // Alias to column vector 1 of the camera matrix.\n up: Vec4;\n // Alias to column vector 2 of the camera matrix.\n back: Vec4;\n // Alias to column vector 3 of the camera matrix.\n position: Vec4;\n}\n\n// The common functionality between camera implementations\nclass CameraBase {\n // The camera matrix\n private matrix_ = new Float32Array([\n 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1,\n ]);\n\n // The calculated view matrix\n private readonly view_ = mat4.create();\n\n // Aliases to column vectors of the matrix\n private right_ = new Float32Array(this.matrix_.buffer, 4 * 0, 4);\n private up_ = new Float32Array(this.matrix_.buffer, 4 * 4, 4);\n private back_ = new Float32Array(this.matrix_.buffer, 4 * 8, 4);\n private position_ = new Float32Array(this.matrix_.buffer, 4 * 12, 4);\n\n // Returns the camera matrix\n get matrix() {\n return this.matrix_;\n }\n // Assigns `mat` to the camera matrix\n set matrix(mat: Mat4) {\n mat4.copy(mat, this.matrix_);\n }\n\n // Returns the camera view matrix\n get view() {\n return this.view_;\n }\n // Assigns `mat` to the camera view\n set view(mat: Mat4) {\n mat4.copy(mat, this.view_);\n }\n\n // Returns column vector 0 of the camera matrix\n get right() {\n return this.right_;\n }\n // Assigns `vec` to the first 3 elements of column vector 0 of the camera matrix\n set right(vec: Vec3) {\n vec3.copy(vec, this.right_);\n }\n\n // Returns column vector 1 of the camera matrix\n get up() {\n return this.up_;\n }\n // Assigns `vec` to the first 3 elements of column vector 1 of the camera matrix\n set up(vec: Vec3) {\n vec3.copy(vec, this.up_);\n }\n\n // Returns column vector 2 of the camera matrix\n get back() {\n return this.back_;\n }\n // Assigns `vec` to the first 3 elements of column vector 2 of the camera matrix\n set back(vec: Vec3) {\n vec3.copy(vec, this.back_);\n }\n\n // Returns column vector 3 of the camera matrix\n get position() {\n return this.position_;\n }\n // Assigns `vec` to the first 3 elements of column vector 3 of the camera matrix\n set position(vec: Vec3) {\n vec3.copy(vec, this.position_);\n }\n}\n\n// WASDCamera is a camera implementation that behaves similar to first-person-shooter PC games.\nexport class WASDCamera extends CameraBase implements Camera {\n // The camera absolute pitch angle\n private pitch = 0;\n // The camera absolute yaw angle\n private yaw = 0;\n\n // The movement veloicty\n private readonly velocity_ = vec3.create();\n\n // Speed multiplier for camera movement\n movementSpeed = 10;\n\n // Speed multiplier for camera rotation\n rotationSpeed = 1;\n\n // Movement velocity drag coeffient [0 .. 1]\n // 0: Continues forever\n // 1: Instantly stops moving\n frictionCoefficient = 0.99;\n\n // Returns velocity vector\n get velocity() {\n return this.velocity_;\n }\n // Assigns `vec` to the velocity vector\n set velocity(vec: Vec3) {\n vec3.copy(vec, this.velocity_);\n }\n\n // Construtor\n constructor(options?: {\n // The initial position of the camera\n position?: Vec3;\n // The initial target of the camera\n target?: Vec3;\n }) {\n super();\n if (options && (options.position || options.target)) {\n const position = options.position ?? vec3.create(0, 0, -5);\n const target = options.target ?? vec3.create(0, 0, 0);\n const back = vec3.normalize(vec3.sub(position, target));\n this.recalculateAngles(back);\n this.position = position;\n }\n }\n\n // Returns the camera matrix\n get matrix() {\n return super.matrix;\n }\n\n // Assigns `mat` to the camera matrix, and recalcuates the camera angles\n set matrix(mat: Mat4) {\n super.matrix = mat;\n this.recalculateAngles(this.back);\n }\n\n update(deltaTime: number, input: Input): Mat4 {\n const sign = (positive: boolean, negative: boolean) =>\n (positive ? 1 : 0) - (negative ? 1 : 0);\n\n // Apply the delta rotation to the pitch and yaw angles\n this.yaw -= input.analog.x * deltaTime * this.rotationSpeed;\n this.pitch -= input.analog.y * deltaTime * this.rotationSpeed;\n\n // Wrap yaw between [0° .. 360°], just to prevent large accumulation.\n this.yaw = mod(this.yaw, Math.PI * 2);\n // Clamp pitch between [-90° .. +90°] to prevent somersaults.\n this.pitch = clamp(this.pitch, -Math.PI / 2, Math.PI / 2);\n\n // Save the current position, as we're about to rebuild the camera matrix.\n const position = vec3.copy(this.position);\n\n // Reconstruct the camera's rotation, and store into the camera matrix.\n super.matrix = mat4.rotateX(mat4.rotationY(this.yaw), this.pitch);\n\n // Calculate the new target velocity\n const digital = input.digital;\n const deltaRight = sign(digital.right, digital.left);\n const deltaUp = sign(digital.up, digital.down);\n const targetVelocity = vec3.create();\n const deltaBack = sign(digital.backward, digital.forward);\n vec3.addScaled(targetVelocity, this.right, deltaRight, targetVelocity);\n vec3.addScaled(targetVelocity, this.up, deltaUp, targetVelocity);\n vec3.addScaled(targetVelocity, this.back, deltaBack, targetVelocity);\n vec3.normalize(targetVelocity, targetVelocity);\n vec3.mulScalar(targetVelocity, this.movementSpeed, targetVelocity);\n\n // Mix new target velocity\n this.velocity = lerp(\n targetVelocity,\n this.velocity,\n Math.pow(1 - this.frictionCoefficient, deltaTime)\n );\n\n // Integrate velocity to calculate new position\n this.position = vec3.addScaled(position, this.velocity, deltaTime);\n\n // Invert the camera matrix to build the view matrix\n this.view = mat4.invert(this.matrix);\n return this.view;\n }\n\n // Recalculates the yaw and pitch values from a directional vector\n recalculateAngles(dir: Vec3) {\n this.yaw = Math.atan2(dir[0], dir[2]);\n this.pitch = -Math.asin(dir[1]);\n }\n}\n\n// ArcballCamera implements a basic orbiting camera around the world origin\nexport class ArcballCamera extends CameraBase implements Camera {\n // The camera distance from the target\n private distance = 0;\n\n // The current angular velocity\n private angularVelocity = 0;\n\n // The current rotation axis\n private axis_ = vec3.create();\n\n // Returns the rotation axis\n get axis() {\n return this.axis_;\n }\n // Assigns `vec` to the rotation axis\n set axis(vec: Vec3) {\n vec3.copy(vec, this.axis_);\n }\n\n // Speed multiplier for camera rotation\n rotationSpeed = 1;\n\n // Speed multiplier for camera zoom\n zoomSpeed = 0.1;\n\n // Rotation velocity drag coeffient [0 .. 1]\n // 0: Spins forever\n // 1: Instantly stops spinning\n frictionCoefficient = 0.999;\n\n // Construtor\n constructor(options?: {\n // The initial position of the camera\n position?: Vec3;\n }) {\n super();\n if (options && options.position) {\n this.position = options.position;\n this.distance = vec3.len(this.position);\n this.back = vec3.normalize(this.position);\n this.recalcuateRight();\n this.recalcuateUp();\n }\n }\n\n // Returns the camera matrix\n get matrix() {\n return super.matrix;\n }\n\n // Assigns `mat` to the camera matrix, and recalcuates the distance\n set matrix(mat: Mat4) {\n super.matrix = mat;\n this.distance = vec3.len(this.position);\n }\n\n update(deltaTime: number, input: Input): Mat4 {\n const epsilon = 0.0000001;\n\n if (input.analog.touching) {\n // Currently being dragged.\n this.angularVelocity = 0;\n } else {\n // Dampen any existing angular velocity\n this.angularVelocity *= Math.pow(1 - this.frictionCoefficient, deltaTime);\n }\n\n // Calculate the movement vector\n const movement = vec3.create();\n vec3.addScaled(movement, this.right, input.analog.x, movement);\n vec3.addScaled(movement, this.up, -input.analog.y, movement);\n\n // Cross the movement vector with the view direction to calculate the rotation axis x magnitude\n const crossProduct = vec3.cross(movement, this.back);\n\n // Calculate the magnitude of the drag\n const magnitude = vec3.len(crossProduct);\n\n if (magnitude > epsilon) {\n // Normalize the crossProduct to get the rotation axis\n this.axis = vec3.scale(crossProduct, 1 / magnitude);\n\n // Remember the current angular velocity. This is used when the touch is released for a fling.\n this.angularVelocity = magnitude * this.rotationSpeed;\n }\n\n // The rotation around this.axis to apply to the camera matrix this update\n const rotationAngle = this.angularVelocity * deltaTime;\n if (rotationAngle > epsilon) {\n // Rotate the matrix around axis\n // Note: The rotation is not done as a matrix-matrix multiply as the repeated multiplications\n // will quickly introduce substantial error into the matrix.\n this.back = vec3.normalize(rotate(this.back, this.axis, rotationAngle));\n this.recalcuateRight();\n this.recalcuateUp();\n }\n\n // recalculate `this.position` from `this.back` considering zoom\n if (input.analog.zoom !== 0) {\n this.distance *= 1 + input.analog.zoom * this.zoomSpeed;\n }\n this.position = vec3.scale(this.back, this.distance);\n\n // Invert the camera matrix to build the view matrix\n this.view = mat4.invert(this.matrix);\n return this.view;\n }\n\n // Assigns `this.right` with the cross product of `this.up` and `this.back`\n recalcuateRight() {\n this.right = vec3.normalize(vec3.cross(this.up, this.back));\n }\n\n // Assigns `this.up` with the cross product of `this.back` and `this.right`\n recalcuateUp() {\n this.up = vec3.normalize(vec3.cross(this.back, this.right));\n }\n}\n\n// Returns `x` clamped between [`min` .. `max`]\nfunction clamp(x: number, min: number, max: number): number {\n return Math.min(Math.max(x, min), max);\n}\n\n// Returns `x` float-modulo `div`\nfunction mod(x: number, div: number): number {\n return x - Math.floor(Math.abs(x) / div) * div * Math.sign(x);\n}\n\n// Returns `vec` rotated `angle` radians around `axis`\nfunction rotate(vec: Vec3, axis: Vec3, angle: number): Vec3 {\n return vec3.transformMat4Upper3x3(vec, mat4.rotation(axis, angle));\n}\n\n// Returns the linear interpolation between 'a' and 'b' using 's'\nfunction lerp(a: Vec3, b: Vec3, s: number): Vec3 {\n return vec3.addScaled(a, vec3.sub(b, a), s);\n}\n","// Input holds as snapshot of input state\nexport default interface Input {\n // Digital input (e.g keyboard state)\n readonly digital: {\n readonly forward: boolean;\n readonly backward: boolean;\n readonly left: boolean;\n readonly right: boolean;\n readonly up: boolean;\n readonly down: boolean;\n };\n // Analog input (e.g mouse, touchscreen)\n readonly analog: {\n readonly x: number;\n readonly y: number;\n readonly zoom: number;\n readonly touching: boolean;\n };\n}\n\n// InputHandler is a function that when called, returns the current Input state.\nexport type InputHandler = () => Input;\n\n// createInputHandler returns an InputHandler by attaching event handlers to the window and canvas.\nexport function createInputHandler(\n window: Window,\n canvas: HTMLCanvasElement\n): InputHandler {\n const digital = {\n forward: false,\n backward: false,\n left: false,\n right: false,\n up: false,\n down: false,\n };\n const analog = {\n x: 0,\n y: 0,\n zoom: 0,\n };\n let mouseDown = false;\n\n const setDigital = (e: KeyboardEvent, value: boolean) => {\n switch (e.code) {\n case 'KeyW':\n digital.forward = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'KeyS':\n digital.backward = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'KeyA':\n digital.left = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'KeyD':\n digital.right = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'Space':\n digital.up = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n case 'ShiftLeft':\n case 'ControlLeft':\n case 'KeyC':\n digital.down = value;\n e.preventDefault();\n e.stopPropagation();\n break;\n }\n };\n\n window.addEventListener('keydown', (e) => setDigital(e, true));\n window.addEventListener('keyup', (e) => setDigital(e, false));\n\n canvas.style.touchAction = 'pinch-zoom';\n canvas.addEventListener('pointerdown', () => {\n mouseDown = true;\n });\n canvas.addEventListener('pointerup', () => {\n mouseDown = false;\n });\n canvas.addEventListener('pointermove', (e) => {\n mouseDown = e.pointerType == 'mouse' ? (e.buttons & 1) !== 0 : true;\n if (mouseDown) {\n analog.x += e.movementX;\n analog.y += e.movementY;\n }\n });\n canvas.addEventListener(\n 'wheel',\n (e) => {\n mouseDown = (e.buttons & 1) !== 0;\n if (mouseDown) {\n // The scroll value varies substantially between user agents / browsers.\n // Just use the sign.\n analog.zoom += Math.sign(e.deltaY);\n e.preventDefault();\n e.stopPropagation();\n }\n },\n { passive: false }\n );\n\n return () => {\n const out = {\n digital,\n analog: {\n x: analog.x,\n y: analog.y,\n zoom: analog.zoom,\n touching: mouseDown,\n },\n };\n // Clear the analog values, as these accumulate.\n analog.x = 0;\n analog.y = 0;\n analog.zoom = 0;\n return out;\n };\n}\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\nimport cubeWGSL from './cube.wgsl';\nimport { ArcballCamera, WASDCamera } from './camera';\nimport { createInputHandler } from './input';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\n\n// The input handler\nconst inputHandler = createInputHandler(window, canvas);\n\n// The camera types\nconst initialCameraPosition = vec3.create(3, 2, 5);\nconst cameras = {\n arcball: new ArcballCamera({ position: initialCameraPosition }),\n WASD: new WASDCamera({ position: initialCameraPosition }),\n};\n\nconst gui = new GUI();\n\n// GUI parameters\nconst params: { type: 'arcball' | 'WASD' } = {\n type: 'arcball',\n};\n\n// Callback handler for camera mode\nlet oldCameraType = params.type;\ngui.add(params, 'type', ['arcball', 'WASD']).onChange(() => {\n // Copy the camera matrix from old to new\n const newCameraType = params.type;\n cameras[newCameraType].matrix = cameras[oldCameraType].matrix;\n oldCameraType = newCameraType;\n});\n\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: cubeWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: cubeWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// Fetch the image and upload it into a GPUTexture.\nlet cubeTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/Di-3d.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n cubeTexture = 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\ No newline at end of file diff --git a/sample/cameras/main.ts b/sample/cameras/main.ts index f9846c5b..648cb61a 100644 --- a/sample/cameras/main.ts +++ b/sample/cameras/main.ts @@ -196,7 +196,7 @@ function getModelViewProjectionMatrix(deltaTime: number) { const camera = cameras[params.type]; const viewMatrix = camera.update(deltaTime, inputHandler()); mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); - return modelViewProjectionMatrix as Float32Array; + return modelViewProjectionMatrix; } let lastFrameMS = Date.now(); diff --git a/sample/cornell/main.js b/sample/cornell/main.js index da9d18e0..38a14211 100644 --- a/sample/cornell/main.js +++ b/sample/cornell/main.js @@ -2493,7 +2493,17 @@ function updateDisplays(controllerArray) { } var GUI$1 = GUI; -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -2539,67 +2549,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Generates am typed API for Vec3 */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); } - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -2623,2407 +3239,4751 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Transforms vec3 by 3x3 matrix + +/* + * Copyright 2022 Gregg Tavares * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} /** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } } - return copy$3(a, dst); + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. - * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. + * Vec4 math functions. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); function reciprocal(v) { - const s = 1 / vec3Impl.lenSq(v); - return vec3Impl.mul(vec3Impl.fromValues(s, s, s), v); + const s = 1 / vec3.lenSq(v); + return vec3.mul(vec3.fromValues(s, s, s), v); } // ─────────┐ // ╱ +Y ╱│ @@ -5049,65 +8009,65 @@ function box(params) { // │ +Z │ │ │ -z // │ │╱ │╱ // └────────┘ └─────> x - const x = vec3Impl.fromValues(Math.cos(params.rotation) * (params.width / 2), 0, Math.sin(params.rotation) * (params.depth / 2)); - const y = vec3Impl.fromValues(0, params.height / 2, 0); - const z = vec3Impl.fromValues(Math.sin(params.rotation) * (params.width / 2), 0, -Math.cos(params.rotation) * (params.depth / 2)); + const x = vec3.fromValues(Math.cos(params.rotation) * (params.width / 2), 0, Math.sin(params.rotation) * (params.depth / 2)); + const y = vec3.fromValues(0, params.height / 2, 0); + const z = vec3.fromValues(Math.sin(params.rotation) * (params.width / 2), 0, -Math.cos(params.rotation) * (params.depth / 2)); const colors = params.color instanceof Array ? params.color : new Array(6).fill(params.color); const sign = (v) => { - return params.type === 'concave' ? v : vec3Impl.negate(v); + return params.type === 'concave' ? v : vec3.negate(v); }; return [ { // PositiveX - center: vec3Impl.add(params.center, x), - right: sign(vec3Impl.negate(z)), + center: vec3.add(params.center, x), + right: sign(vec3.negate(z)), up: y, color: colors[CubeFace.PositiveX], }, { // PositiveY - center: vec3Impl.add(params.center, y), + center: vec3.add(params.center, y), right: sign(x), - up: vec3Impl.negate(z), + up: vec3.negate(z), color: colors[CubeFace.PositiveY], }, { // PositiveZ - center: vec3Impl.add(params.center, z), + center: vec3.add(params.center, z), right: sign(x), up: y, color: colors[CubeFace.PositiveZ], }, { // NegativeX - center: vec3Impl.sub(params.center, x), + center: vec3.sub(params.center, x), right: sign(z), up: y, color: colors[CubeFace.NegativeX], }, { // NegativeY - center: vec3Impl.sub(params.center, y), + center: vec3.sub(params.center, y), right: sign(x), up: z, color: colors[CubeFace.NegativeY], }, { // NegativeZ - center: vec3Impl.sub(params.center, z), - right: sign(vec3Impl.negate(x)), + center: vec3.sub(params.center, z), + right: sign(vec3.negate(x)), up: y, color: colors[CubeFace.NegativeZ], }, ]; } const light = { - center: vec3Impl.fromValues(0, 9.95, 0), - right: vec3Impl.fromValues(1, 0, 0), - up: vec3Impl.fromValues(0, 0, 1), - color: vec3Impl.fromValues(5.0, 5.0, 5.0), + center: vec3.fromValues(0, 9.95, 0), + right: vec3.fromValues(1, 0, 0), + up: vec3.fromValues(0, 0, 1), + color: vec3.fromValues(5.0, 5.0, 5.0), emissive: 1.0, }; /** @@ -5122,44 +8082,44 @@ class Scene { quadBuffer; quads = [ ...box({ - center: vec3Impl.fromValues(0, 5, 0), + center: vec3.fromValues(0, 5, 0), width: 10, height: 10, depth: 10, rotation: 0, color: [ - vec3Impl.fromValues(0.0, 0.5, 0.0), // PositiveX - vec3Impl.fromValues(0.5, 0.5, 0.5), // PositiveY - vec3Impl.fromValues(0.5, 0.5, 0.5), // PositiveZ - vec3Impl.fromValues(0.5, 0.0, 0.0), // NegativeX - vec3Impl.fromValues(0.5, 0.5, 0.5), // NegativeY - vec3Impl.fromValues(0.5, 0.5, 0.5), // NegativeZ + vec3.fromValues(0.0, 0.5, 0.0), // PositiveX + vec3.fromValues(0.5, 0.5, 0.5), // PositiveY + vec3.fromValues(0.5, 0.5, 0.5), // PositiveZ + vec3.fromValues(0.5, 0.0, 0.0), // NegativeX + vec3.fromValues(0.5, 0.5, 0.5), // NegativeY + vec3.fromValues(0.5, 0.5, 0.5), // NegativeZ ], type: 'concave', }), ...box({ - center: vec3Impl.fromValues(1.5, 1.5, 1), + center: vec3.fromValues(1.5, 1.5, 1), width: 3, height: 3, depth: 3, rotation: 0.3, - color: vec3Impl.fromValues(0.8, 0.8, 0.8), + color: vec3.fromValues(0.8, 0.8, 0.8), type: 'convex', }), ...box({ - center: vec3Impl.fromValues(-2, 3, -2), + center: vec3.fromValues(-2, 3, -2), width: 3, height: 6, depth: 3, rotation: -0.4, - color: vec3Impl.fromValues(0.8, 0.8, 0.8), + color: vec3.fromValues(0.8, 0.8, 0.8), type: 'convex', }), light, ]; lightCenter = light.center; - lightWidth = vec3Impl.len(light.right) * 2; - lightHeight = vec3Impl.len(light.up) * 2; + lightWidth = vec3.len(light.right) * 2; + lightHeight = vec3.len(light.up) * 2; constructor(device) { const quadStride = 16 * 4; const quadBuffer = device.createBuffer({ @@ -5178,21 +8138,21 @@ class Scene { let indexDataOffset = 0; for (let quadIdx = 0; quadIdx < this.quads.length; quadIdx++) { const quad = this.quads[quadIdx]; - const normal = vec3Impl.normalize(vec3Impl.cross(quad.right, quad.up)); + const normal = vec3.normalize(vec3.cross(quad.right, quad.up)); quadData[quadDataOffset++] = normal[0]; quadData[quadDataOffset++] = normal[1]; quadData[quadDataOffset++] = normal[2]; - quadData[quadDataOffset++] = -vec3Impl.dot(normal, quad.center); + quadData[quadDataOffset++] = -vec3.dot(normal, quad.center); const invRight = reciprocal(quad.right); quadData[quadDataOffset++] = invRight[0]; quadData[quadDataOffset++] = invRight[1]; quadData[quadDataOffset++] = invRight[2]; - quadData[quadDataOffset++] = -vec3Impl.dot(invRight, quad.center); + quadData[quadDataOffset++] = -vec3.dot(invRight, quad.center); const invUp = reciprocal(quad.up); quadData[quadDataOffset++] = invUp[0]; quadData[quadDataOffset++] = invUp[1]; quadData[quadDataOffset++] = invUp[2]; - quadData[quadDataOffset++] = -vec3Impl.dot(invUp, quad.center); + quadData[quadDataOffset++] = -vec3.dot(invUp, quad.center); quadData[quadDataOffset++] = quad.color[0]; quadData[quadDataOffset++] = quad.color[1]; quadData[quadDataOffset++] = quad.color[2]; @@ -5202,10 +8162,10 @@ class Scene { // | m | // | | // c ----- d - const a = vec3Impl.add(vec3Impl.sub(quad.center, quad.right), quad.up); - const b = vec3Impl.add(vec3Impl.add(quad.center, quad.right), quad.up); - const c = vec3Impl.sub(vec3Impl.sub(quad.center, quad.right), quad.up); - const d = vec3Impl.sub(vec3Impl.add(quad.center, quad.right), quad.up); + const a = vec3.add(vec3.sub(quad.center, quad.right), quad.up); + const b = vec3.add(vec3.add(quad.center, quad.right), quad.up); + const c = vec3.sub(vec3.sub(quad.center, quad.right), quad.up); + const d = vec3.sub(vec3.add(quad.center, quad.right), quad.up); vertexData[vertexDataOffset++] = a[0]; vertexData[vertexDataOffset++] = a[1]; vertexData[vertexDataOffset++] = a[2]; @@ -5527,11 +8487,11 @@ class Common { } /** Updates the uniform buffer data */ update(params) { - const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 8, params.aspect, 0.5, 100); + const projectionMatrix = mat4.perspective((2 * Math.PI) / 8, params.aspect, 0.5, 100); const viewRotation = params.rotateCamera ? this.frame / 1000 : 0; - const viewMatrix = mat4Impl.lookAt(vec3Impl.fromValues(Math.sin(viewRotation) * 15, 5, Math.cos(viewRotation) * 15), vec3Impl.fromValues(0, 5, 0), vec3Impl.fromValues(0, 1, 0)); - const mvp = mat4Impl.multiply(projectionMatrix, viewMatrix); - const invMVP = mat4Impl.invert(mvp); + const viewMatrix = mat4.lookAt(vec3.fromValues(Math.sin(viewRotation) * 15, 5, Math.cos(viewRotation) * 15), vec3.fromValues(0, 5, 0), vec3.fromValues(0, 1, 0)); + const mvp = mat4.multiply(projectionMatrix, viewMatrix); + const invMVP = mat4.invert(mvp); const uniformDataF32 = new Float32Array(this.uniformBuffer.size / 4); const uniformDataU32 = new Uint32Array(uniformDataF32.buffer); for (let i = 0; i < 16; i++) { diff --git a/sample/cornell/main.js.map b/sample/cornell/main.js.map index b4cde4f5..8d8c0077 100644 --- a/sample/cornell/main.js.map +++ b/sample/cornell/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/dat.gui/build/dat.gui.module.js","../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../sample/cornell/scene.ts","../../../../../sample/cornell/common.ts","../../../../../sample/cornell/radiosity.ts","../../../../../sample/cornell/rasterizer.ts","../../../../../sample/cornell/tonemapper.ts","../../../../../sample/cornell/raytracer.ts","../../../../../sample/cornell/main.ts"],"sourcesContent":["/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","import { vec3 } from 'wgpu-matrix';\ntype Vec3 = vec3.default;\n\nfunction reciprocal(v: Vec3) {\n const s = 1 / vec3.lenSq(v);\n return vec3.mul(vec3.fromValues(s, s, s), v);\n}\n\ninterface Quad {\n center: Vec3;\n right: Vec3;\n up: Vec3;\n color: Vec3;\n emissive?: number;\n}\n\n// ─────────┐\n// ╱ +Y ╱│\n// ┌────────┐ │\n// │ │+X\n// │ +Z │ │\n// │ │╱\n// └────────┘\nenum CubeFace {\n PositiveX,\n PositiveY,\n PositiveZ,\n NegativeX,\n NegativeY,\n NegativeZ,\n}\nfunction box(params: {\n center: Vec3;\n width: number;\n height: number;\n depth: number;\n rotation: number;\n color: Vec3 | Vec3[];\n type: 'convex' | 'concave';\n}): Quad[] {\n // ─────────┐\n // ╱ +Y ╱│\n // ┌────────┐ │ y\n // │ │+X ^\n // │ +Z │ │ │ -z\n // │ │╱ │╱\n // └────────┘ └─────> x\n const x = vec3.fromValues(\n Math.cos(params.rotation) * (params.width / 2),\n 0,\n Math.sin(params.rotation) * (params.depth / 2)\n );\n const y = vec3.fromValues(0, params.height / 2, 0);\n const z = vec3.fromValues(\n Math.sin(params.rotation) * (params.width / 2),\n 0,\n -Math.cos(params.rotation) * (params.depth / 2)\n );\n const colors =\n params.color instanceof Array\n ? params.color\n : new Array(6).fill(params.color);\n const sign = (v: Vec3) => {\n return params.type === 'concave' ? v : vec3.negate(v);\n };\n return [\n {\n // PositiveX\n center: vec3.add(params.center, x),\n right: sign(vec3.negate(z)),\n up: y,\n color: colors[CubeFace.PositiveX],\n },\n {\n // PositiveY\n center: vec3.add(params.center, y),\n right: sign(x),\n up: vec3.negate(z),\n color: colors[CubeFace.PositiveY],\n },\n {\n // PositiveZ\n center: vec3.add(params.center, z),\n right: sign(x),\n up: y,\n color: colors[CubeFace.PositiveZ],\n },\n {\n // NegativeX\n center: vec3.sub(params.center, x),\n right: sign(z),\n up: y,\n color: colors[CubeFace.NegativeX],\n },\n {\n // NegativeY\n center: vec3.sub(params.center, y),\n right: sign(x),\n up: z,\n color: colors[CubeFace.NegativeY],\n },\n {\n // NegativeZ\n center: vec3.sub(params.center, z),\n right: sign(vec3.negate(x)),\n up: y,\n color: colors[CubeFace.NegativeZ],\n },\n ];\n}\n\nconst light: Quad = {\n center: vec3.fromValues(0, 9.95, 0),\n right: vec3.fromValues(1, 0, 0),\n up: vec3.fromValues(0, 0, 1),\n color: vec3.fromValues(5.0, 5.0, 5.0),\n emissive: 1.0,\n};\n\n/**\n * Scene holds the cornell-box scene information.\n */\nexport default class Scene {\n readonly vertexCount: number;\n readonly indexCount: number;\n readonly vertices: GPUBuffer;\n readonly indices: GPUBuffer;\n readonly vertexBufferLayout: GPUVertexBufferLayout[];\n readonly quadBuffer: GPUBuffer;\n readonly quads = [\n ...box({\n center: vec3.fromValues(0, 5, 0),\n width: 10,\n height: 10,\n depth: 10,\n rotation: 0,\n color: [\n vec3.fromValues(0.0, 0.5, 0.0), // PositiveX\n vec3.fromValues(0.5, 0.5, 0.5), // PositiveY\n vec3.fromValues(0.5, 0.5, 0.5), // PositiveZ\n vec3.fromValues(0.5, 0.0, 0.0), // NegativeX\n vec3.fromValues(0.5, 0.5, 0.5), // NegativeY\n vec3.fromValues(0.5, 0.5, 0.5), // NegativeZ\n ],\n type: 'concave',\n }),\n ...box({\n center: vec3.fromValues(1.5, 1.5, 1),\n width: 3,\n height: 3,\n depth: 3,\n rotation: 0.3,\n color: vec3.fromValues(0.8, 0.8, 0.8),\n type: 'convex',\n }),\n ...box({\n center: vec3.fromValues(-2, 3, -2),\n width: 3,\n height: 6,\n depth: 3,\n rotation: -0.4,\n color: vec3.fromValues(0.8, 0.8, 0.8),\n type: 'convex',\n }),\n light,\n ];\n readonly lightCenter = light.center;\n readonly lightWidth = vec3.len(light.right) * 2;\n readonly lightHeight = vec3.len(light.up) * 2;\n\n constructor(device: GPUDevice) {\n const quadStride = 16 * 4;\n const quadBuffer = device.createBuffer({\n size: quadStride * this.quads.length,\n usage: GPUBufferUsage.STORAGE,\n mappedAtCreation: true,\n });\n const quadData = new Float32Array(quadBuffer.getMappedRange());\n const vertexStride = 4 * 10;\n const vertexData = new Float32Array(this.quads.length * vertexStride);\n const indexData = new Uint32Array(this.quads.length * 9); // TODO: 6?\n let vertexCount = 0;\n let indexCount = 0;\n let quadDataOffset = 0;\n let vertexDataOffset = 0;\n let indexDataOffset = 0;\n for (let quadIdx = 0; quadIdx < this.quads.length; quadIdx++) {\n const quad = this.quads[quadIdx];\n const normal = vec3.normalize(vec3.cross(quad.right, quad.up));\n quadData[quadDataOffset++] = normal[0];\n quadData[quadDataOffset++] = normal[1];\n quadData[quadDataOffset++] = normal[2];\n quadData[quadDataOffset++] = -vec3.dot(normal, quad.center);\n\n const invRight = reciprocal(quad.right);\n quadData[quadDataOffset++] = invRight[0];\n quadData[quadDataOffset++] = invRight[1];\n quadData[quadDataOffset++] = invRight[2];\n quadData[quadDataOffset++] = -vec3.dot(invRight, quad.center);\n\n const invUp = reciprocal(quad.up);\n quadData[quadDataOffset++] = invUp[0];\n quadData[quadDataOffset++] = invUp[1];\n quadData[quadDataOffset++] = invUp[2];\n quadData[quadDataOffset++] = -vec3.dot(invUp, quad.center);\n\n quadData[quadDataOffset++] = quad.color[0];\n quadData[quadDataOffset++] = quad.color[1];\n quadData[quadDataOffset++] = quad.color[2];\n quadData[quadDataOffset++] = quad.emissive ?? 0;\n\n // a ----- b\n // | |\n // | m |\n // | |\n // c ----- d\n const a = vec3.add(vec3.sub(quad.center, quad.right), quad.up);\n const b = vec3.add(vec3.add(quad.center, quad.right), quad.up);\n const c = vec3.sub(vec3.sub(quad.center, quad.right), quad.up);\n const d = vec3.sub(vec3.add(quad.center, quad.right), quad.up);\n\n vertexData[vertexDataOffset++] = a[0];\n vertexData[vertexDataOffset++] = a[1];\n vertexData[vertexDataOffset++] = a[2];\n vertexData[vertexDataOffset++] = 1;\n vertexData[vertexDataOffset++] = 0; // uv.x\n vertexData[vertexDataOffset++] = 1; // uv.y\n vertexData[vertexDataOffset++] = quadIdx;\n vertexData[vertexDataOffset++] = quad.color[0] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[1] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[2] * (quad.emissive ?? 0);\n\n vertexData[vertexDataOffset++] = b[0];\n vertexData[vertexDataOffset++] = b[1];\n vertexData[vertexDataOffset++] = b[2];\n vertexData[vertexDataOffset++] = 1;\n vertexData[vertexDataOffset++] = 1; // uv.x\n vertexData[vertexDataOffset++] = 1; // uv.y\n vertexData[vertexDataOffset++] = quadIdx;\n vertexData[vertexDataOffset++] = quad.color[0] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[1] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[2] * (quad.emissive ?? 0);\n\n vertexData[vertexDataOffset++] = c[0];\n vertexData[vertexDataOffset++] = c[1];\n vertexData[vertexDataOffset++] = c[2];\n vertexData[vertexDataOffset++] = 1;\n vertexData[vertexDataOffset++] = 0; // uv.x\n vertexData[vertexDataOffset++] = 0; // uv.y\n vertexData[vertexDataOffset++] = quadIdx;\n vertexData[vertexDataOffset++] = quad.color[0] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[1] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[2] * (quad.emissive ?? 0);\n\n vertexData[vertexDataOffset++] = d[0];\n vertexData[vertexDataOffset++] = d[1];\n vertexData[vertexDataOffset++] = d[2];\n vertexData[vertexDataOffset++] = 1;\n vertexData[vertexDataOffset++] = 1; // uv.x\n vertexData[vertexDataOffset++] = 0; // uv.y\n vertexData[vertexDataOffset++] = quadIdx;\n vertexData[vertexDataOffset++] = quad.color[0] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[1] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[2] * (quad.emissive ?? 0);\n\n indexData[indexDataOffset++] = vertexCount + 0; // a\n indexData[indexDataOffset++] = vertexCount + 2; // c\n indexData[indexDataOffset++] = vertexCount + 1; // b\n indexData[indexDataOffset++] = vertexCount + 1; // b\n indexData[indexDataOffset++] = vertexCount + 2; // c\n indexData[indexDataOffset++] = vertexCount + 3; // d\n indexCount += 6;\n vertexCount += 4;\n }\n\n quadBuffer.unmap();\n\n const vertices = device.createBuffer({\n size: vertexData.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n });\n new Float32Array(vertices.getMappedRange()).set(vertexData);\n vertices.unmap();\n\n const indices = device.createBuffer({\n size: indexData.byteLength,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n });\n new Uint16Array(indices.getMappedRange()).set(indexData);\n indices.unmap();\n\n const vertexBufferLayout: GPUVertexBufferLayout[] = [\n {\n arrayStride: vertexStride,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: 0 * 4,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: 4 * 4,\n format: 'float32x3',\n },\n {\n // color\n shaderLocation: 2,\n offset: 7 * 4,\n format: 'float32x3',\n },\n ],\n },\n ];\n\n this.vertexCount = vertexCount;\n this.indexCount = indexCount;\n this.vertices = vertices;\n this.indices = indices;\n this.vertexBufferLayout = vertexBufferLayout;\n this.quadBuffer = quadBuffer;\n }\n}\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport commonWGSL from './common.wgsl';\n\n/**\n * Common holds the shared WGSL between the shaders, including the common uniform buffer.\n */\nexport default class Common {\n /** The WGSL of the common shader */\n readonly wgsl = commonWGSL;\n /** The common uniform buffer bind group and layout */\n readonly uniforms: {\n bindGroupLayout: GPUBindGroupLayout;\n bindGroup: GPUBindGroup;\n };\n\n private readonly device: GPUDevice;\n private readonly uniformBuffer: GPUBuffer;\n\n private frame = 0;\n\n constructor(device: GPUDevice, quads: GPUBuffer) {\n this.device = device;\n this.uniformBuffer = device.createBuffer({\n label: 'Common.uniformBuffer',\n size:\n 0 + //\n 4 * 16 + // mvp\n 4 * 16 + // inv_mvp\n 4 * 4, // seed\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'Common.bindGroupLayout',\n entries: [\n {\n // common_uniforms\n binding: 0,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.COMPUTE,\n buffer: { type: 'uniform' },\n },\n {\n // quads\n binding: 1,\n visibility: GPUShaderStage.COMPUTE,\n buffer: { type: 'read-only-storage' },\n },\n ],\n });\n\n const bindGroup = device.createBindGroup({\n label: 'Common.bindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n // common_uniforms\n binding: 0,\n resource: {\n buffer: this.uniformBuffer,\n offset: 0,\n size: this.uniformBuffer.size,\n },\n },\n {\n // quads\n binding: 1,\n resource: {\n buffer: quads,\n offset: 0,\n size: quads.size,\n },\n },\n ],\n });\n\n this.uniforms = { bindGroupLayout, bindGroup };\n }\n\n /** Updates the uniform buffer data */\n update(params: { rotateCamera: boolean; aspect: number }) {\n const projectionMatrix = mat4.perspective(\n (2 * Math.PI) / 8,\n params.aspect,\n 0.5,\n 100\n );\n\n const viewRotation = params.rotateCamera ? this.frame / 1000 : 0;\n\n const viewMatrix = mat4.lookAt(\n vec3.fromValues(\n Math.sin(viewRotation) * 15,\n 5,\n Math.cos(viewRotation) * 15\n ),\n vec3.fromValues(0, 5, 0),\n vec3.fromValues(0, 1, 0)\n );\n const mvp = mat4.multiply(projectionMatrix, viewMatrix);\n const invMVP = mat4.invert(mvp);\n\n const uniformDataF32 = new Float32Array(this.uniformBuffer.size / 4);\n const uniformDataU32 = new Uint32Array(uniformDataF32.buffer);\n for (let i = 0; i < 16; i++) {\n uniformDataF32[i] = mvp[i];\n }\n for (let i = 0; i < 16; i++) {\n uniformDataF32[i + 16] = invMVP[i];\n }\n uniformDataU32[32] = 0xffffffff * Math.random();\n uniformDataU32[33] = 0xffffffff * Math.random();\n uniformDataU32[34] = 0xffffffff * Math.random();\n\n this.device.queue.writeBuffer(\n this.uniformBuffer,\n 0,\n uniformDataF32.buffer,\n uniformDataF32.byteOffset,\n uniformDataF32.byteLength\n );\n\n this.frame++;\n }\n}\n","import Common from './common';\nimport radiosityWGSL from './radiosity.wgsl';\nimport Scene from './scene';\n\n/**\n * Radiosity computes lightmaps, calculated by software raytracing of light in\n * the scene.\n */\nexport default class Radiosity {\n // The output lightmap format and dimensions\n static readonly lightmapFormat = 'rgba16float';\n static readonly lightmapWidth = 256;\n static readonly lightmapHeight = 256;\n\n // The output lightmap.\n readonly lightmap: GPUTexture;\n\n // Number of photons emitted per workgroup.\n // This is equal to the workgroup size (one photon per invocation)\n private readonly kPhotonsPerWorkgroup = 256;\n // Number of radiosity workgroups dispatched per frame.\n private readonly kWorkgroupsPerFrame = 1024;\n private readonly kPhotonsPerFrame =\n this.kPhotonsPerWorkgroup * this.kWorkgroupsPerFrame;\n // Maximum value that can be added to the 'accumulation' buffer, per photon,\n // across all texels.\n private readonly kPhotonEnergy = 100000;\n // The total number of lightmap texels for all quads.\n private readonly kTotalLightmapTexels;\n\n private readonly kAccumulationToLightmapWorkgroupSizeX = 16;\n private readonly kAccumulationToLightmapWorkgroupSizeY = 16;\n\n private readonly device: GPUDevice;\n private readonly common: Common;\n private readonly scene: Scene;\n private readonly radiosityPipeline: GPUComputePipeline;\n private readonly accumulationToLightmapPipeline: GPUComputePipeline;\n private readonly bindGroup: GPUBindGroup;\n private readonly accumulationBuffer: GPUBuffer;\n private readonly uniformBuffer: GPUBuffer;\n\n // The 'accumulation' buffer average value\n private accumulationMean = 0;\n\n // The maximum value of 'accumulationAverage' before all values in\n // 'accumulation' are reduced to avoid integer overflows.\n private readonly kAccumulationMeanMax = 0x10000000;\n\n constructor(device: GPUDevice, common: Common, scene: Scene) {\n this.device = device;\n this.common = common;\n this.scene = scene;\n this.lightmap = device.createTexture({\n label: 'Radiosity.lightmap',\n size: {\n width: Radiosity.lightmapWidth,\n height: Radiosity.lightmapHeight,\n depthOrArrayLayers: scene.quads.length,\n },\n format: Radiosity.lightmapFormat,\n usage: GPUTextureUsage.TEXTURE_BINDING | GPUTextureUsage.STORAGE_BINDING,\n });\n this.accumulationBuffer = device.createBuffer({\n label: 'Radiosity.accumulationBuffer',\n size:\n Radiosity.lightmapWidth *\n Radiosity.lightmapHeight *\n scene.quads.length *\n 16,\n usage: GPUBufferUsage.STORAGE,\n });\n this.kTotalLightmapTexels =\n Radiosity.lightmapWidth * Radiosity.lightmapHeight * scene.quads.length;\n this.uniformBuffer = device.createBuffer({\n label: 'Radiosity.uniformBuffer',\n size: 8 * 4, // 8 x f32\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'Radiosity.bindGroupLayout',\n entries: [\n {\n // accumulation buffer\n binding: 0,\n visibility: GPUShaderStage.COMPUTE,\n buffer: { type: 'storage' },\n },\n {\n // lightmap\n binding: 1,\n visibility: GPUShaderStage.COMPUTE,\n storageTexture: {\n access: 'write-only',\n format: Radiosity.lightmapFormat,\n viewDimension: '2d-array',\n },\n },\n {\n // radiosity_uniforms\n binding: 2,\n visibility: GPUShaderStage.COMPUTE,\n buffer: { type: 'uniform' },\n },\n ],\n });\n this.bindGroup = device.createBindGroup({\n label: 'Radiosity.bindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n // accumulation buffer\n binding: 0,\n resource: {\n buffer: this.accumulationBuffer,\n size: this.accumulationBuffer.size,\n },\n },\n {\n // lightmap\n binding: 1,\n resource: this.lightmap.createView(),\n },\n {\n // radiosity_uniforms\n binding: 2,\n resource: {\n buffer: this.uniformBuffer,\n size: this.uniformBuffer.size,\n },\n },\n ],\n });\n\n const mod = device.createShaderModule({\n code: radiosityWGSL + common.wgsl,\n });\n const pipelineLayout = device.createPipelineLayout({\n label: 'Radiosity.accumulatePipelineLayout',\n bindGroupLayouts: [common.uniforms.bindGroupLayout, bindGroupLayout],\n });\n\n this.radiosityPipeline = device.createComputePipeline({\n label: 'Radiosity.radiosityPipeline',\n layout: pipelineLayout,\n compute: {\n module: mod,\n entryPoint: 'radiosity',\n constants: {\n PhotonsPerWorkgroup: this.kPhotonsPerWorkgroup,\n PhotonEnergy: this.kPhotonEnergy,\n },\n },\n });\n\n this.accumulationToLightmapPipeline = device.createComputePipeline({\n label: 'Radiosity.accumulationToLightmapPipeline',\n layout: pipelineLayout,\n compute: {\n module: mod,\n entryPoint: 'accumulation_to_lightmap',\n constants: {\n AccumulationToLightmapWorkgroupSizeX:\n this.kAccumulationToLightmapWorkgroupSizeX,\n AccumulationToLightmapWorkgroupSizeY:\n this.kAccumulationToLightmapWorkgroupSizeY,\n },\n },\n });\n }\n\n run(commandEncoder: GPUCommandEncoder) {\n // Calculate the new mean value for the accumulation buffer\n this.accumulationMean +=\n (this.kPhotonsPerFrame * this.kPhotonEnergy) / this.kTotalLightmapTexels;\n\n // Calculate the 'accumulation' -> 'lightmap' scale factor from 'accumulationMean'\n const accumulationToLightmapScale = 1 / this.accumulationMean;\n // If 'accumulationMean' is greater than 'kAccumulationMeanMax', then reduce\n // the 'accumulation' buffer values to prevent u32 overflow.\n const accumulationBufferScale =\n this.accumulationMean > 2 * this.kAccumulationMeanMax ? 0.5 : 1;\n this.accumulationMean *= accumulationBufferScale;\n\n // Update the radiosity uniform buffer data.\n const uniformDataF32 = new Float32Array(this.uniformBuffer.size / 4);\n uniformDataF32[0] = accumulationToLightmapScale;\n uniformDataF32[1] = accumulationBufferScale;\n uniformDataF32[2] = this.scene.lightWidth;\n uniformDataF32[3] = this.scene.lightHeight;\n uniformDataF32[4] = this.scene.lightCenter[0];\n uniformDataF32[5] = this.scene.lightCenter[1];\n uniformDataF32[6] = this.scene.lightCenter[2];\n this.device.queue.writeBuffer(\n this.uniformBuffer,\n 0,\n uniformDataF32.buffer,\n uniformDataF32.byteOffset,\n uniformDataF32.byteLength\n );\n\n // Dispatch the radiosity workgroups\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setBindGroup(0, this.common.uniforms.bindGroup);\n passEncoder.setBindGroup(1, this.bindGroup);\n passEncoder.setPipeline(this.radiosityPipeline);\n passEncoder.dispatchWorkgroups(this.kWorkgroupsPerFrame);\n\n // Then copy the 'accumulation' data to 'lightmap'\n passEncoder.setPipeline(this.accumulationToLightmapPipeline);\n passEncoder.dispatchWorkgroups(\n Math.ceil(\n Radiosity.lightmapWidth / this.kAccumulationToLightmapWorkgroupSizeX\n ),\n Math.ceil(\n Radiosity.lightmapHeight / this.kAccumulationToLightmapWorkgroupSizeY\n ),\n this.lightmap.depthOrArrayLayers\n );\n passEncoder.end();\n }\n}\n","import rasterizerWGSL from './rasterizer.wgsl';\n\nimport Common from './common';\nimport Radiosity from './radiosity';\nimport Scene from './scene';\n\n/**\n * Rasterizer renders the scene using a regular raserization graphics pipeline.\n */\nexport default class Rasterizer {\n private readonly common: Common;\n private readonly scene: Scene;\n private readonly renderPassDescriptor: GPURenderPassDescriptor;\n private readonly pipeline: GPURenderPipeline;\n private readonly bindGroup: GPUBindGroup;\n\n constructor(\n device: GPUDevice,\n common: Common,\n scene: Scene,\n radiosity: Radiosity,\n framebuffer: GPUTexture\n ) {\n this.common = common;\n this.scene = scene;\n\n const depthTexture = device.createTexture({\n label: 'RasterizerRenderer.depthTexture',\n size: [framebuffer.width, framebuffer.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n });\n\n this.renderPassDescriptor = {\n label: 'RasterizerRenderer.renderPassDescriptor',\n colorAttachments: [\n {\n view: framebuffer.createView(),\n clearValue: [0.1, 0.2, 0.3, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n };\n\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'RasterizerRenderer.bindGroupLayout',\n entries: [\n {\n // lightmap\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n texture: { viewDimension: '2d-array' },\n },\n {\n // sampler\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n sampler: {},\n },\n ],\n });\n\n this.bindGroup = device.createBindGroup({\n label: 'RasterizerRenderer.bindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n // lightmap\n binding: 0,\n resource: radiosity.lightmap.createView(),\n },\n {\n // sampler\n binding: 1,\n resource: device.createSampler({\n addressModeU: 'clamp-to-edge',\n addressModeV: 'clamp-to-edge',\n magFilter: 'linear',\n minFilter: 'linear',\n }),\n },\n ],\n });\n\n const mod = device.createShaderModule({\n label: 'RasterizerRenderer.module',\n code: rasterizerWGSL + common.wgsl,\n });\n\n this.pipeline = device.createRenderPipeline({\n label: 'RasterizerRenderer.pipeline',\n layout: device.createPipelineLayout({\n bindGroupLayouts: [common.uniforms.bindGroupLayout, bindGroupLayout],\n }),\n vertex: {\n module: mod,\n buffers: scene.vertexBufferLayout,\n },\n fragment: {\n module: mod,\n targets: [{ format: framebuffer.format }],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n });\n }\n\n run(commandEncoder: GPUCommandEncoder) {\n const passEncoder = commandEncoder.beginRenderPass(\n this.renderPassDescriptor\n );\n passEncoder.setPipeline(this.pipeline);\n passEncoder.setVertexBuffer(0, this.scene.vertices);\n passEncoder.setIndexBuffer(this.scene.indices, 'uint16');\n passEncoder.setBindGroup(0, this.common.uniforms.bindGroup);\n passEncoder.setBindGroup(1, this.bindGroup);\n passEncoder.drawIndexed(this.scene.indexCount);\n passEncoder.end();\n }\n}\n","import Common from './common';\nimport tonemapperWGSL from './tonemapper.wgsl';\n\n/**\n * Tonemapper implements a tonemapper to convert a linear-light framebuffer to\n * a gamma-correct, tonemapped framebuffer used for presentation.\n */\nexport default class Tonemapper {\n private readonly bindGroup: GPUBindGroup;\n private readonly pipeline: GPUComputePipeline;\n private readonly width: number;\n private readonly height: number;\n private readonly kWorkgroupSizeX = 16;\n private readonly kWorkgroupSizeY = 16;\n\n constructor(\n device: GPUDevice,\n common: Common,\n input: GPUTexture,\n output: GPUTexture\n ) {\n this.width = input.width;\n this.height = input.height;\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'Tonemapper.bindGroupLayout',\n entries: [\n {\n // input\n binding: 0,\n visibility: GPUShaderStage.COMPUTE,\n texture: {\n viewDimension: '2d',\n },\n },\n {\n // output\n binding: 1,\n visibility: GPUShaderStage.COMPUTE,\n storageTexture: {\n access: 'write-only',\n format: output.format,\n viewDimension: '2d',\n },\n },\n ],\n });\n this.bindGroup = device.createBindGroup({\n label: 'Tonemapper.bindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n // input\n binding: 0,\n resource: input.createView(),\n },\n {\n // output\n binding: 1,\n resource: output.createView(),\n },\n ],\n });\n\n const mod = device.createShaderModule({\n code:\n tonemapperWGSL.replace('{OUTPUT_FORMAT}', output.format) + common.wgsl,\n });\n const pipelineLayout = device.createPipelineLayout({\n label: 'Tonemap.pipelineLayout',\n bindGroupLayouts: [bindGroupLayout],\n });\n\n this.pipeline = device.createComputePipeline({\n label: 'Tonemap.pipeline',\n layout: pipelineLayout,\n compute: {\n module: mod,\n constants: {\n WorkgroupSizeX: this.kWorkgroupSizeX,\n WorkgroupSizeY: this.kWorkgroupSizeY,\n },\n },\n });\n }\n\n run(commandEncoder: GPUCommandEncoder) {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setBindGroup(0, this.bindGroup);\n passEncoder.setPipeline(this.pipeline);\n passEncoder.dispatchWorkgroups(\n Math.ceil(this.width / this.kWorkgroupSizeX),\n Math.ceil(this.height / this.kWorkgroupSizeY)\n );\n passEncoder.end();\n }\n}\n","import raytracerWGSL from './raytracer.wgsl';\n\nimport Common from './common';\nimport Radiosity from './radiosity';\n\n/**\n * Raytracer renders the scene using a software ray-tracing compute pipeline.\n */\nexport default class Raytracer {\n private readonly common: Common;\n private readonly framebuffer: GPUTexture;\n private readonly pipeline: GPUComputePipeline;\n private readonly bindGroup: GPUBindGroup;\n\n private readonly kWorkgroupSizeX = 16;\n private readonly kWorkgroupSizeY = 16;\n\n constructor(\n device: GPUDevice,\n common: Common,\n radiosity: Radiosity,\n framebuffer: GPUTexture\n ) {\n this.common = common;\n this.framebuffer = framebuffer;\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'Raytracer.bindGroupLayout',\n entries: [\n {\n // lightmap\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n texture: { viewDimension: '2d-array' },\n },\n {\n // sampler\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n sampler: {},\n },\n {\n // framebuffer\n binding: 2,\n visibility: GPUShaderStage.COMPUTE,\n storageTexture: {\n access: 'write-only',\n format: framebuffer.format,\n viewDimension: '2d',\n },\n },\n ],\n });\n\n this.bindGroup = device.createBindGroup({\n label: 'rendererBindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: radiosity.lightmap.createView(),\n },\n {\n binding: 1,\n resource: device.createSampler({\n addressModeU: 'clamp-to-edge',\n addressModeV: 'clamp-to-edge',\n addressModeW: 'clamp-to-edge',\n magFilter: 'linear',\n minFilter: 'linear',\n }),\n },\n {\n binding: 2,\n resource: framebuffer.createView(),\n },\n ],\n });\n\n this.pipeline = device.createComputePipeline({\n label: 'raytracerPipeline',\n layout: device.createPipelineLayout({\n bindGroupLayouts: [common.uniforms.bindGroupLayout, bindGroupLayout],\n }),\n compute: {\n module: device.createShaderModule({\n code: raytracerWGSL + common.wgsl,\n }),\n constants: {\n WorkgroupSizeX: this.kWorkgroupSizeX,\n WorkgroupSizeY: this.kWorkgroupSizeY,\n },\n },\n });\n }\n\n run(commandEncoder: GPUCommandEncoder) {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setPipeline(this.pipeline);\n passEncoder.setBindGroup(0, this.common.uniforms.bindGroup);\n passEncoder.setBindGroup(1, this.bindGroup);\n passEncoder.dispatchWorkgroups(\n Math.ceil(this.framebuffer.width / this.kWorkgroupSizeX),\n Math.ceil(this.framebuffer.height / this.kWorkgroupSizeY)\n );\n passEncoder.end();\n }\n}\n","import { GUI } from 'dat.gui';\nimport Scene from './scene';\nimport Common from './common';\nimport Radiosity from './radiosity';\nimport Rasterizer from './rasterizer';\nimport Tonemapper from './tonemapper';\nimport Raytracer from './raytracer';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\n\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\nconst requiredFeatures: GPUFeatureName[] =\n presentationFormat === 'bgra8unorm' ? ['bgra8unorm-storage'] : [];\nconst adapter = await navigator.gpu.requestAdapter();\nfor (const feature of requiredFeatures) {\n if (!adapter.features.has(feature)) {\n throw new Error(\n `sample requires ${feature}, but is not supported by the adapter`\n );\n }\n}\nconst device = await adapter.requestDevice({ requiredFeatures });\n\nconst params: {\n renderer: 'rasterizer' | 'raytracer';\n rotateCamera: boolean;\n} = {\n renderer: 'rasterizer',\n rotateCamera: true,\n};\n\nconst gui = new GUI();\ngui.add(params, 'renderer', ['rasterizer', 'raytracer']);\ngui.add(params, 'rotateCamera', true);\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\ncontext.configure({\n device,\n format: presentationFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.STORAGE_BINDING,\n alphaMode: 'premultiplied',\n});\n\nconst framebuffer = device.createTexture({\n label: 'framebuffer',\n size: [canvas.width, canvas.height],\n format: 'rgba16float',\n usage:\n GPUTextureUsage.RENDER_ATTACHMENT |\n GPUTextureUsage.STORAGE_BINDING |\n GPUTextureUsage.TEXTURE_BINDING,\n});\n\nconst scene = new Scene(device);\nconst common = new Common(device, scene.quadBuffer);\nconst radiosity = new Radiosity(device, common, scene);\nconst rasterizer = new Rasterizer(\n device,\n common,\n scene,\n radiosity,\n framebuffer\n);\nconst raytracer = new Raytracer(device, common, radiosity, framebuffer);\n\nfunction frame() {\n const canvasTexture = context.getCurrentTexture();\n const commandEncoder = device.createCommandEncoder();\n\n common.update({\n rotateCamera: params.rotateCamera,\n aspect: canvas.width / canvas.height,\n });\n radiosity.run(commandEncoder);\n\n switch (params.renderer) {\n case 'rasterizer': {\n rasterizer.run(commandEncoder);\n break;\n }\n case 'raytracer': {\n raytracer.run(commandEncoder);\n break;\n }\n }\n\n const tonemapper = new Tonemapper(device, common, framebuffer, canvasTexture);\n tonemapper.run(commandEncoder);\n\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/dat.gui/build/dat.gui.module.js","../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../sample/cornell/scene.ts","../../../../../sample/cornell/common.ts","../../../../../sample/cornell/radiosity.ts","../../../../../sample/cornell/rasterizer.ts","../../../../../sample/cornell/tonemapper.ts","../../../../../sample/cornell/raytracer.ts","../../../../../sample/cornell/main.ts"],"sourcesContent":["/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 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{\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","import { vec3, Vec3 } from 'wgpu-matrix';\n\nfunction reciprocal(v: Vec3) {\n const s = 1 / vec3.lenSq(v);\n return vec3.mul(vec3.fromValues(s, s, s), v);\n}\n\ninterface Quad {\n center: Vec3;\n right: Vec3;\n up: Vec3;\n color: Vec3;\n emissive?: number;\n}\n\n// ─────────┐\n// ╱ +Y ╱│\n// ┌────────┐ │\n// │ │+X\n// │ +Z │ │\n// │ │╱\n// └────────┘\nenum CubeFace {\n PositiveX,\n PositiveY,\n PositiveZ,\n NegativeX,\n NegativeY,\n NegativeZ,\n}\nfunction box(params: {\n center: Vec3;\n width: number;\n height: number;\n depth: number;\n rotation: number;\n color: Vec3 | Vec3[];\n type: 'convex' | 'concave';\n}): Quad[] {\n // ─────────┐\n // ╱ +Y ╱│\n // ┌────────┐ │ y\n // │ │+X ^\n // │ +Z │ │ │ -z\n // │ │╱ │╱\n // └────────┘ └─────> x\n const x = vec3.fromValues(\n Math.cos(params.rotation) * (params.width / 2),\n 0,\n Math.sin(params.rotation) * (params.depth / 2)\n );\n const y = vec3.fromValues(0, params.height / 2, 0);\n const z = vec3.fromValues(\n Math.sin(params.rotation) * (params.width / 2),\n 0,\n -Math.cos(params.rotation) * (params.depth / 2)\n );\n const colors =\n params.color instanceof Array\n ? params.color\n : new Array(6).fill(params.color);\n const sign = (v: Vec3) => {\n return params.type === 'concave' ? v : vec3.negate(v);\n };\n return [\n {\n // PositiveX\n center: vec3.add(params.center, x),\n right: sign(vec3.negate(z)),\n up: y,\n color: colors[CubeFace.PositiveX],\n },\n {\n // PositiveY\n center: vec3.add(params.center, y),\n right: sign(x),\n up: vec3.negate(z),\n color: colors[CubeFace.PositiveY],\n },\n {\n // PositiveZ\n center: vec3.add(params.center, z),\n right: sign(x),\n up: y,\n color: colors[CubeFace.PositiveZ],\n },\n {\n // NegativeX\n center: vec3.sub(params.center, x),\n right: sign(z),\n up: y,\n color: colors[CubeFace.NegativeX],\n },\n {\n // NegativeY\n center: vec3.sub(params.center, y),\n right: sign(x),\n up: z,\n color: colors[CubeFace.NegativeY],\n },\n {\n // NegativeZ\n center: vec3.sub(params.center, z),\n right: sign(vec3.negate(x)),\n up: y,\n color: colors[CubeFace.NegativeZ],\n },\n ];\n}\n\nconst light: Quad = {\n center: vec3.fromValues(0, 9.95, 0),\n right: vec3.fromValues(1, 0, 0),\n up: vec3.fromValues(0, 0, 1),\n color: vec3.fromValues(5.0, 5.0, 5.0),\n emissive: 1.0,\n};\n\n/**\n * Scene holds the cornell-box scene information.\n */\nexport default class Scene {\n readonly vertexCount: number;\n readonly indexCount: number;\n readonly vertices: GPUBuffer;\n readonly indices: GPUBuffer;\n readonly vertexBufferLayout: GPUVertexBufferLayout[];\n readonly quadBuffer: GPUBuffer;\n readonly quads = [\n ...box({\n center: vec3.fromValues(0, 5, 0),\n width: 10,\n height: 10,\n depth: 10,\n rotation: 0,\n color: [\n vec3.fromValues(0.0, 0.5, 0.0), // PositiveX\n vec3.fromValues(0.5, 0.5, 0.5), // PositiveY\n vec3.fromValues(0.5, 0.5, 0.5), // PositiveZ\n vec3.fromValues(0.5, 0.0, 0.0), // NegativeX\n vec3.fromValues(0.5, 0.5, 0.5), // NegativeY\n vec3.fromValues(0.5, 0.5, 0.5), // NegativeZ\n ],\n type: 'concave',\n }),\n ...box({\n center: vec3.fromValues(1.5, 1.5, 1),\n width: 3,\n height: 3,\n depth: 3,\n rotation: 0.3,\n color: vec3.fromValues(0.8, 0.8, 0.8),\n type: 'convex',\n }),\n ...box({\n center: vec3.fromValues(-2, 3, -2),\n width: 3,\n height: 6,\n depth: 3,\n rotation: -0.4,\n color: vec3.fromValues(0.8, 0.8, 0.8),\n type: 'convex',\n }),\n light,\n ];\n readonly lightCenter = light.center;\n readonly lightWidth = vec3.len(light.right) * 2;\n readonly lightHeight = vec3.len(light.up) * 2;\n\n constructor(device: GPUDevice) {\n const quadStride = 16 * 4;\n const quadBuffer = device.createBuffer({\n size: quadStride * this.quads.length,\n usage: GPUBufferUsage.STORAGE,\n mappedAtCreation: true,\n });\n const quadData = new Float32Array(quadBuffer.getMappedRange());\n const vertexStride = 4 * 10;\n const vertexData = new Float32Array(this.quads.length * vertexStride);\n const indexData = new Uint32Array(this.quads.length * 9); // TODO: 6?\n let vertexCount = 0;\n let indexCount = 0;\n let quadDataOffset = 0;\n let vertexDataOffset = 0;\n let indexDataOffset = 0;\n for (let quadIdx = 0; quadIdx < this.quads.length; quadIdx++) {\n const quad = this.quads[quadIdx];\n const normal = vec3.normalize(vec3.cross(quad.right, quad.up));\n quadData[quadDataOffset++] = normal[0];\n quadData[quadDataOffset++] = normal[1];\n quadData[quadDataOffset++] = normal[2];\n quadData[quadDataOffset++] = -vec3.dot(normal, quad.center);\n\n const invRight = reciprocal(quad.right);\n quadData[quadDataOffset++] = invRight[0];\n quadData[quadDataOffset++] = invRight[1];\n quadData[quadDataOffset++] = invRight[2];\n quadData[quadDataOffset++] = -vec3.dot(invRight, quad.center);\n\n const invUp = reciprocal(quad.up);\n quadData[quadDataOffset++] = invUp[0];\n quadData[quadDataOffset++] = invUp[1];\n quadData[quadDataOffset++] = invUp[2];\n quadData[quadDataOffset++] = -vec3.dot(invUp, quad.center);\n\n quadData[quadDataOffset++] = quad.color[0];\n quadData[quadDataOffset++] = quad.color[1];\n quadData[quadDataOffset++] = quad.color[2];\n quadData[quadDataOffset++] = quad.emissive ?? 0;\n\n // a ----- b\n // | |\n // | m |\n // | |\n // c ----- d\n const a = vec3.add(vec3.sub(quad.center, quad.right), quad.up);\n const b = vec3.add(vec3.add(quad.center, quad.right), quad.up);\n const c = vec3.sub(vec3.sub(quad.center, quad.right), quad.up);\n const d = vec3.sub(vec3.add(quad.center, quad.right), quad.up);\n\n vertexData[vertexDataOffset++] = a[0];\n vertexData[vertexDataOffset++] = a[1];\n vertexData[vertexDataOffset++] = a[2];\n vertexData[vertexDataOffset++] = 1;\n vertexData[vertexDataOffset++] = 0; // uv.x\n vertexData[vertexDataOffset++] = 1; // uv.y\n vertexData[vertexDataOffset++] = quadIdx;\n vertexData[vertexDataOffset++] = quad.color[0] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[1] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[2] * (quad.emissive ?? 0);\n\n vertexData[vertexDataOffset++] = b[0];\n vertexData[vertexDataOffset++] = b[1];\n vertexData[vertexDataOffset++] = b[2];\n vertexData[vertexDataOffset++] = 1;\n vertexData[vertexDataOffset++] = 1; // uv.x\n vertexData[vertexDataOffset++] = 1; // uv.y\n vertexData[vertexDataOffset++] = quadIdx;\n vertexData[vertexDataOffset++] = quad.color[0] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[1] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[2] * (quad.emissive ?? 0);\n\n vertexData[vertexDataOffset++] = c[0];\n vertexData[vertexDataOffset++] = c[1];\n vertexData[vertexDataOffset++] = c[2];\n vertexData[vertexDataOffset++] = 1;\n vertexData[vertexDataOffset++] = 0; // uv.x\n vertexData[vertexDataOffset++] = 0; // uv.y\n vertexData[vertexDataOffset++] = quadIdx;\n vertexData[vertexDataOffset++] = quad.color[0] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[1] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[2] * (quad.emissive ?? 0);\n\n vertexData[vertexDataOffset++] = d[0];\n vertexData[vertexDataOffset++] = d[1];\n vertexData[vertexDataOffset++] = d[2];\n vertexData[vertexDataOffset++] = 1;\n vertexData[vertexDataOffset++] = 1; // uv.x\n vertexData[vertexDataOffset++] = 0; // uv.y\n vertexData[vertexDataOffset++] = quadIdx;\n vertexData[vertexDataOffset++] = quad.color[0] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[1] * (quad.emissive ?? 0);\n vertexData[vertexDataOffset++] = quad.color[2] * (quad.emissive ?? 0);\n\n indexData[indexDataOffset++] = vertexCount + 0; // a\n indexData[indexDataOffset++] = vertexCount + 2; // c\n indexData[indexDataOffset++] = vertexCount + 1; // b\n indexData[indexDataOffset++] = vertexCount + 1; // b\n indexData[indexDataOffset++] = vertexCount + 2; // c\n indexData[indexDataOffset++] = vertexCount + 3; // d\n indexCount += 6;\n vertexCount += 4;\n }\n\n quadBuffer.unmap();\n\n const vertices = device.createBuffer({\n size: vertexData.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n });\n new Float32Array(vertices.getMappedRange()).set(vertexData);\n vertices.unmap();\n\n const indices = device.createBuffer({\n size: indexData.byteLength,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n });\n new Uint16Array(indices.getMappedRange()).set(indexData);\n indices.unmap();\n\n const vertexBufferLayout: GPUVertexBufferLayout[] = [\n {\n arrayStride: vertexStride,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: 0 * 4,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: 4 * 4,\n format: 'float32x3',\n },\n {\n // color\n shaderLocation: 2,\n offset: 7 * 4,\n format: 'float32x3',\n },\n ],\n },\n ];\n\n this.vertexCount = vertexCount;\n this.indexCount = indexCount;\n this.vertices = vertices;\n this.indices = indices;\n this.vertexBufferLayout = vertexBufferLayout;\n this.quadBuffer = quadBuffer;\n }\n}\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport commonWGSL from './common.wgsl';\n\n/**\n * Common holds the shared WGSL between the shaders, including the common uniform buffer.\n */\nexport default class Common {\n /** The WGSL of the common shader */\n readonly wgsl = commonWGSL;\n /** The common uniform buffer bind group and layout */\n readonly uniforms: {\n bindGroupLayout: GPUBindGroupLayout;\n bindGroup: GPUBindGroup;\n };\n\n private readonly device: GPUDevice;\n private readonly uniformBuffer: GPUBuffer;\n\n private frame = 0;\n\n constructor(device: GPUDevice, quads: GPUBuffer) {\n this.device = device;\n this.uniformBuffer = device.createBuffer({\n label: 'Common.uniformBuffer',\n size:\n 0 + //\n 4 * 16 + // mvp\n 4 * 16 + // inv_mvp\n 4 * 4, // seed\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'Common.bindGroupLayout',\n entries: [\n {\n // common_uniforms\n binding: 0,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.COMPUTE,\n buffer: { type: 'uniform' },\n },\n {\n // quads\n binding: 1,\n visibility: GPUShaderStage.COMPUTE,\n buffer: { type: 'read-only-storage' },\n },\n ],\n });\n\n const bindGroup = device.createBindGroup({\n label: 'Common.bindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n // common_uniforms\n binding: 0,\n resource: {\n buffer: this.uniformBuffer,\n offset: 0,\n size: this.uniformBuffer.size,\n },\n },\n {\n // quads\n binding: 1,\n resource: {\n buffer: quads,\n offset: 0,\n size: quads.size,\n },\n },\n ],\n });\n\n this.uniforms = { bindGroupLayout, bindGroup };\n }\n\n /** Updates the uniform buffer data */\n update(params: { rotateCamera: boolean; aspect: number }) {\n const projectionMatrix = mat4.perspective(\n (2 * Math.PI) / 8,\n params.aspect,\n 0.5,\n 100\n );\n\n const viewRotation = params.rotateCamera ? this.frame / 1000 : 0;\n\n const viewMatrix = mat4.lookAt(\n vec3.fromValues(\n Math.sin(viewRotation) * 15,\n 5,\n Math.cos(viewRotation) * 15\n ),\n vec3.fromValues(0, 5, 0),\n vec3.fromValues(0, 1, 0)\n );\n const mvp = mat4.multiply(projectionMatrix, viewMatrix);\n const invMVP = mat4.invert(mvp);\n\n const uniformDataF32 = new Float32Array(this.uniformBuffer.size / 4);\n const uniformDataU32 = new Uint32Array(uniformDataF32.buffer);\n for (let i = 0; i < 16; i++) {\n uniformDataF32[i] = mvp[i];\n }\n for (let i = 0; i < 16; i++) {\n uniformDataF32[i + 16] = invMVP[i];\n }\n uniformDataU32[32] = 0xffffffff * Math.random();\n uniformDataU32[33] = 0xffffffff * Math.random();\n uniformDataU32[34] = 0xffffffff * Math.random();\n\n this.device.queue.writeBuffer(\n this.uniformBuffer,\n 0,\n uniformDataF32.buffer,\n uniformDataF32.byteOffset,\n uniformDataF32.byteLength\n );\n\n this.frame++;\n }\n}\n","import Common from './common';\nimport radiosityWGSL from './radiosity.wgsl';\nimport Scene from './scene';\n\n/**\n * Radiosity computes lightmaps, calculated by software raytracing of light in\n * the scene.\n */\nexport default class Radiosity {\n // The output lightmap format and dimensions\n static readonly lightmapFormat = 'rgba16float';\n static readonly lightmapWidth = 256;\n static readonly lightmapHeight = 256;\n\n // The output lightmap.\n readonly lightmap: GPUTexture;\n\n // Number of photons emitted per workgroup.\n // This is equal to the workgroup size (one photon per invocation)\n private readonly kPhotonsPerWorkgroup = 256;\n // Number of radiosity workgroups dispatched per frame.\n private readonly kWorkgroupsPerFrame = 1024;\n private readonly kPhotonsPerFrame =\n this.kPhotonsPerWorkgroup * this.kWorkgroupsPerFrame;\n // Maximum value that can be added to the 'accumulation' buffer, per photon,\n // across all texels.\n private readonly kPhotonEnergy = 100000;\n // The total number of lightmap texels for all quads.\n private readonly kTotalLightmapTexels;\n\n private readonly kAccumulationToLightmapWorkgroupSizeX = 16;\n private readonly kAccumulationToLightmapWorkgroupSizeY = 16;\n\n private readonly device: GPUDevice;\n private readonly common: Common;\n private readonly scene: Scene;\n private readonly radiosityPipeline: GPUComputePipeline;\n private readonly accumulationToLightmapPipeline: GPUComputePipeline;\n private readonly bindGroup: GPUBindGroup;\n private readonly accumulationBuffer: GPUBuffer;\n private readonly uniformBuffer: GPUBuffer;\n\n // The 'accumulation' buffer average value\n private accumulationMean = 0;\n\n // The maximum value of 'accumulationAverage' before all values in\n // 'accumulation' are reduced to avoid integer overflows.\n private readonly kAccumulationMeanMax = 0x10000000;\n\n constructor(device: GPUDevice, common: Common, scene: Scene) {\n this.device = device;\n this.common = common;\n this.scene = scene;\n this.lightmap = device.createTexture({\n label: 'Radiosity.lightmap',\n size: {\n width: Radiosity.lightmapWidth,\n height: Radiosity.lightmapHeight,\n depthOrArrayLayers: scene.quads.length,\n },\n format: Radiosity.lightmapFormat,\n usage: GPUTextureUsage.TEXTURE_BINDING | GPUTextureUsage.STORAGE_BINDING,\n });\n this.accumulationBuffer = device.createBuffer({\n label: 'Radiosity.accumulationBuffer',\n size:\n Radiosity.lightmapWidth *\n Radiosity.lightmapHeight *\n scene.quads.length *\n 16,\n usage: GPUBufferUsage.STORAGE,\n });\n this.kTotalLightmapTexels =\n Radiosity.lightmapWidth * Radiosity.lightmapHeight * scene.quads.length;\n this.uniformBuffer = device.createBuffer({\n label: 'Radiosity.uniformBuffer',\n size: 8 * 4, // 8 x f32\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'Radiosity.bindGroupLayout',\n entries: [\n {\n // accumulation buffer\n binding: 0,\n visibility: GPUShaderStage.COMPUTE,\n buffer: { type: 'storage' },\n },\n {\n // lightmap\n binding: 1,\n visibility: GPUShaderStage.COMPUTE,\n storageTexture: {\n access: 'write-only',\n format: Radiosity.lightmapFormat,\n viewDimension: '2d-array',\n },\n },\n {\n // radiosity_uniforms\n binding: 2,\n visibility: GPUShaderStage.COMPUTE,\n buffer: { type: 'uniform' },\n },\n ],\n });\n this.bindGroup = device.createBindGroup({\n label: 'Radiosity.bindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n // accumulation buffer\n binding: 0,\n resource: {\n buffer: this.accumulationBuffer,\n size: this.accumulationBuffer.size,\n },\n },\n {\n // lightmap\n binding: 1,\n resource: this.lightmap.createView(),\n },\n {\n // radiosity_uniforms\n binding: 2,\n resource: {\n buffer: this.uniformBuffer,\n size: this.uniformBuffer.size,\n },\n },\n ],\n });\n\n const mod = device.createShaderModule({\n code: radiosityWGSL + common.wgsl,\n });\n const pipelineLayout = device.createPipelineLayout({\n label: 'Radiosity.accumulatePipelineLayout',\n bindGroupLayouts: [common.uniforms.bindGroupLayout, bindGroupLayout],\n });\n\n this.radiosityPipeline = device.createComputePipeline({\n label: 'Radiosity.radiosityPipeline',\n layout: pipelineLayout,\n compute: {\n module: mod,\n entryPoint: 'radiosity',\n constants: {\n PhotonsPerWorkgroup: this.kPhotonsPerWorkgroup,\n PhotonEnergy: this.kPhotonEnergy,\n },\n },\n });\n\n this.accumulationToLightmapPipeline = device.createComputePipeline({\n label: 'Radiosity.accumulationToLightmapPipeline',\n layout: pipelineLayout,\n compute: {\n module: mod,\n entryPoint: 'accumulation_to_lightmap',\n constants: {\n AccumulationToLightmapWorkgroupSizeX:\n this.kAccumulationToLightmapWorkgroupSizeX,\n AccumulationToLightmapWorkgroupSizeY:\n this.kAccumulationToLightmapWorkgroupSizeY,\n },\n },\n });\n }\n\n run(commandEncoder: GPUCommandEncoder) {\n // Calculate the new mean value for the accumulation buffer\n this.accumulationMean +=\n (this.kPhotonsPerFrame * this.kPhotonEnergy) / this.kTotalLightmapTexels;\n\n // Calculate the 'accumulation' -> 'lightmap' scale factor from 'accumulationMean'\n const accumulationToLightmapScale = 1 / this.accumulationMean;\n // If 'accumulationMean' is greater than 'kAccumulationMeanMax', then reduce\n // the 'accumulation' buffer values to prevent u32 overflow.\n const accumulationBufferScale =\n this.accumulationMean > 2 * this.kAccumulationMeanMax ? 0.5 : 1;\n this.accumulationMean *= accumulationBufferScale;\n\n // Update the radiosity uniform buffer data.\n const uniformDataF32 = new Float32Array(this.uniformBuffer.size / 4);\n uniformDataF32[0] = accumulationToLightmapScale;\n uniformDataF32[1] = accumulationBufferScale;\n uniformDataF32[2] = this.scene.lightWidth;\n uniformDataF32[3] = this.scene.lightHeight;\n uniformDataF32[4] = this.scene.lightCenter[0];\n uniformDataF32[5] = this.scene.lightCenter[1];\n uniformDataF32[6] = this.scene.lightCenter[2];\n this.device.queue.writeBuffer(\n this.uniformBuffer,\n 0,\n uniformDataF32.buffer,\n uniformDataF32.byteOffset,\n uniformDataF32.byteLength\n );\n\n // Dispatch the radiosity workgroups\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setBindGroup(0, this.common.uniforms.bindGroup);\n passEncoder.setBindGroup(1, this.bindGroup);\n passEncoder.setPipeline(this.radiosityPipeline);\n passEncoder.dispatchWorkgroups(this.kWorkgroupsPerFrame);\n\n // Then copy the 'accumulation' data to 'lightmap'\n passEncoder.setPipeline(this.accumulationToLightmapPipeline);\n passEncoder.dispatchWorkgroups(\n Math.ceil(\n Radiosity.lightmapWidth / this.kAccumulationToLightmapWorkgroupSizeX\n ),\n Math.ceil(\n Radiosity.lightmapHeight / this.kAccumulationToLightmapWorkgroupSizeY\n ),\n this.lightmap.depthOrArrayLayers\n );\n passEncoder.end();\n }\n}\n","import rasterizerWGSL from './rasterizer.wgsl';\n\nimport Common from './common';\nimport Radiosity from './radiosity';\nimport Scene from './scene';\n\n/**\n * Rasterizer renders the scene using a regular raserization graphics pipeline.\n */\nexport default class Rasterizer {\n private readonly common: Common;\n private readonly scene: Scene;\n private readonly renderPassDescriptor: GPURenderPassDescriptor;\n private readonly pipeline: GPURenderPipeline;\n private readonly bindGroup: GPUBindGroup;\n\n constructor(\n device: GPUDevice,\n common: Common,\n scene: Scene,\n radiosity: Radiosity,\n framebuffer: GPUTexture\n ) {\n this.common = common;\n this.scene = scene;\n\n const depthTexture = device.createTexture({\n label: 'RasterizerRenderer.depthTexture',\n size: [framebuffer.width, framebuffer.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n });\n\n this.renderPassDescriptor = {\n label: 'RasterizerRenderer.renderPassDescriptor',\n colorAttachments: [\n {\n view: framebuffer.createView(),\n clearValue: [0.1, 0.2, 0.3, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n };\n\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'RasterizerRenderer.bindGroupLayout',\n entries: [\n {\n // lightmap\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n texture: { viewDimension: '2d-array' },\n },\n {\n // sampler\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n sampler: {},\n },\n ],\n });\n\n this.bindGroup = device.createBindGroup({\n label: 'RasterizerRenderer.bindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n // lightmap\n binding: 0,\n resource: radiosity.lightmap.createView(),\n },\n {\n // sampler\n binding: 1,\n resource: device.createSampler({\n addressModeU: 'clamp-to-edge',\n addressModeV: 'clamp-to-edge',\n magFilter: 'linear',\n minFilter: 'linear',\n }),\n },\n ],\n });\n\n const mod = device.createShaderModule({\n label: 'RasterizerRenderer.module',\n code: rasterizerWGSL + common.wgsl,\n });\n\n this.pipeline = device.createRenderPipeline({\n label: 'RasterizerRenderer.pipeline',\n layout: device.createPipelineLayout({\n bindGroupLayouts: [common.uniforms.bindGroupLayout, bindGroupLayout],\n }),\n vertex: {\n module: mod,\n buffers: scene.vertexBufferLayout,\n },\n fragment: {\n module: mod,\n targets: [{ format: framebuffer.format }],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n });\n }\n\n run(commandEncoder: GPUCommandEncoder) {\n const passEncoder = commandEncoder.beginRenderPass(\n this.renderPassDescriptor\n );\n passEncoder.setPipeline(this.pipeline);\n passEncoder.setVertexBuffer(0, this.scene.vertices);\n passEncoder.setIndexBuffer(this.scene.indices, 'uint16');\n passEncoder.setBindGroup(0, this.common.uniforms.bindGroup);\n passEncoder.setBindGroup(1, this.bindGroup);\n passEncoder.drawIndexed(this.scene.indexCount);\n passEncoder.end();\n }\n}\n","import Common from './common';\nimport tonemapperWGSL from './tonemapper.wgsl';\n\n/**\n * Tonemapper implements a tonemapper to convert a linear-light framebuffer to\n * a gamma-correct, tonemapped framebuffer used for presentation.\n */\nexport default class Tonemapper {\n private readonly bindGroup: GPUBindGroup;\n private readonly pipeline: GPUComputePipeline;\n private readonly width: number;\n private readonly height: number;\n private readonly kWorkgroupSizeX = 16;\n private readonly kWorkgroupSizeY = 16;\n\n constructor(\n device: GPUDevice,\n common: Common,\n input: GPUTexture,\n output: GPUTexture\n ) {\n this.width = input.width;\n this.height = input.height;\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'Tonemapper.bindGroupLayout',\n entries: [\n {\n // input\n binding: 0,\n visibility: GPUShaderStage.COMPUTE,\n texture: {\n viewDimension: '2d',\n },\n },\n {\n // output\n binding: 1,\n visibility: GPUShaderStage.COMPUTE,\n storageTexture: {\n access: 'write-only',\n format: output.format,\n viewDimension: '2d',\n },\n },\n ],\n });\n this.bindGroup = device.createBindGroup({\n label: 'Tonemapper.bindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n // input\n binding: 0,\n resource: input.createView(),\n },\n {\n // output\n binding: 1,\n resource: output.createView(),\n },\n ],\n });\n\n const mod = device.createShaderModule({\n code:\n tonemapperWGSL.replace('{OUTPUT_FORMAT}', output.format) + common.wgsl,\n });\n const pipelineLayout = device.createPipelineLayout({\n label: 'Tonemap.pipelineLayout',\n bindGroupLayouts: [bindGroupLayout],\n });\n\n this.pipeline = device.createComputePipeline({\n label: 'Tonemap.pipeline',\n layout: pipelineLayout,\n compute: {\n module: mod,\n constants: {\n WorkgroupSizeX: this.kWorkgroupSizeX,\n WorkgroupSizeY: this.kWorkgroupSizeY,\n },\n },\n });\n }\n\n run(commandEncoder: GPUCommandEncoder) {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setBindGroup(0, this.bindGroup);\n passEncoder.setPipeline(this.pipeline);\n passEncoder.dispatchWorkgroups(\n Math.ceil(this.width / this.kWorkgroupSizeX),\n Math.ceil(this.height / this.kWorkgroupSizeY)\n );\n passEncoder.end();\n }\n}\n","import raytracerWGSL from './raytracer.wgsl';\n\nimport Common from './common';\nimport Radiosity from './radiosity';\n\n/**\n * Raytracer renders the scene using a software ray-tracing compute pipeline.\n */\nexport default class Raytracer {\n private readonly common: Common;\n private readonly framebuffer: GPUTexture;\n private readonly pipeline: GPUComputePipeline;\n private readonly bindGroup: GPUBindGroup;\n\n private readonly kWorkgroupSizeX = 16;\n private readonly kWorkgroupSizeY = 16;\n\n constructor(\n device: GPUDevice,\n common: Common,\n radiosity: Radiosity,\n framebuffer: GPUTexture\n ) {\n this.common = common;\n this.framebuffer = framebuffer;\n const bindGroupLayout = device.createBindGroupLayout({\n label: 'Raytracer.bindGroupLayout',\n entries: [\n {\n // lightmap\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n texture: { viewDimension: '2d-array' },\n },\n {\n // sampler\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n sampler: {},\n },\n {\n // framebuffer\n binding: 2,\n visibility: GPUShaderStage.COMPUTE,\n storageTexture: {\n access: 'write-only',\n format: framebuffer.format,\n viewDimension: '2d',\n },\n },\n ],\n });\n\n this.bindGroup = device.createBindGroup({\n label: 'rendererBindGroup',\n layout: bindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: radiosity.lightmap.createView(),\n },\n {\n binding: 1,\n resource: device.createSampler({\n addressModeU: 'clamp-to-edge',\n addressModeV: 'clamp-to-edge',\n addressModeW: 'clamp-to-edge',\n magFilter: 'linear',\n minFilter: 'linear',\n }),\n },\n {\n binding: 2,\n resource: framebuffer.createView(),\n },\n ],\n });\n\n this.pipeline = device.createComputePipeline({\n label: 'raytracerPipeline',\n layout: device.createPipelineLayout({\n bindGroupLayouts: [common.uniforms.bindGroupLayout, bindGroupLayout],\n }),\n compute: {\n module: device.createShaderModule({\n code: raytracerWGSL + common.wgsl,\n }),\n constants: {\n WorkgroupSizeX: this.kWorkgroupSizeX,\n WorkgroupSizeY: this.kWorkgroupSizeY,\n },\n },\n });\n }\n\n run(commandEncoder: GPUCommandEncoder) {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setPipeline(this.pipeline);\n passEncoder.setBindGroup(0, this.common.uniforms.bindGroup);\n passEncoder.setBindGroup(1, this.bindGroup);\n passEncoder.dispatchWorkgroups(\n Math.ceil(this.framebuffer.width / this.kWorkgroupSizeX),\n Math.ceil(this.framebuffer.height / this.kWorkgroupSizeY)\n );\n passEncoder.end();\n }\n}\n","import { GUI } from 'dat.gui';\nimport Scene from './scene';\nimport Common from './common';\nimport Radiosity from './radiosity';\nimport Rasterizer from './rasterizer';\nimport Tonemapper from './tonemapper';\nimport Raytracer from './raytracer';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\n\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\nconst requiredFeatures: GPUFeatureName[] =\n presentationFormat === 'bgra8unorm' ? ['bgra8unorm-storage'] : [];\nconst adapter = await navigator.gpu.requestAdapter();\nfor (const feature of requiredFeatures) {\n if (!adapter.features.has(feature)) {\n throw new Error(\n `sample requires ${feature}, but is not supported by the adapter`\n );\n }\n}\nconst device = await adapter.requestDevice({ requiredFeatures });\n\nconst params: {\n renderer: 'rasterizer' | 'raytracer';\n rotateCamera: boolean;\n} = {\n renderer: 'rasterizer',\n rotateCamera: true,\n};\n\nconst gui = new GUI();\ngui.add(params, 'renderer', ['rasterizer', 'raytracer']);\ngui.add(params, 'rotateCamera', true);\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\ncontext.configure({\n device,\n format: presentationFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.STORAGE_BINDING,\n alphaMode: 'premultiplied',\n});\n\nconst framebuffer = device.createTexture({\n label: 'framebuffer',\n size: [canvas.width, canvas.height],\n format: 'rgba16float',\n usage:\n GPUTextureUsage.RENDER_ATTACHMENT |\n GPUTextureUsage.STORAGE_BINDING |\n GPUTextureUsage.TEXTURE_BINDING,\n});\n\nconst scene = new Scene(device);\nconst common = new Common(device, scene.quadBuffer);\nconst radiosity = new Radiosity(device, common, scene);\nconst rasterizer = new Rasterizer(\n device,\n common,\n scene,\n radiosity,\n framebuffer\n);\nconst raytracer = new Raytracer(device, common, radiosity, framebuffer);\n\nfunction frame() {\n const canvasTexture = context.getCurrentTexture();\n const commandEncoder = device.createCommandEncoder();\n\n common.update({\n rotateCamera: params.rotateCamera,\n aspect: canvas.width / canvas.height,\n });\n radiosity.run(commandEncoder);\n\n switch (params.renderer) {\n case 'rasterizer': {\n rasterizer.run(commandEncoder);\n break;\n }\n case 'raytracer': {\n raytracer.run(commandEncoder);\n break;\n }\n }\n\n const tonemapper = new Tonemapper(device, common, framebuffer, canvasTexture);\n tonemapper.run(commandEncoder);\n\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/cornell/scene.ts b/sample/cornell/scene.ts index 2ef1ceb5..9034436a 100644 --- a/sample/cornell/scene.ts +++ b/sample/cornell/scene.ts @@ -1,5 +1,4 @@ -import { vec3 } from 'wgpu-matrix'; -type Vec3 = vec3.default; +import { vec3, Vec3 } from 'wgpu-matrix'; function reciprocal(v: Vec3) { const s = 1 / vec3.lenSq(v); diff --git a/sample/cubemap/main.js b/sample/cubemap/main.js index edebfd69..f95c202c 100644 --- a/sample/cubemap/main.js +++ b/sample/cubemap/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,1412 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; +} +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +1483,4008 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; } - return copy$3(a, dst); + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * Vec4 math functions. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. - * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); const cubeVertexSize = 4 * 10; // Byte size of one cube vertex. const cubePositionOffset = 0; @@ -2773,19 +5733,19 @@ const renderPassDescriptor = { }, }; const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 3000); -const modelMatrix = mat4Impl.scaling(vec3Impl.fromValues(1000, 1000, 1000)); -const modelViewProjectionMatrix = mat4Impl.create(); -const viewMatrix = mat4Impl.identity(); -const tmpMat4 = mat4Impl.create(); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 3000); +const modelMatrix = mat4.scaling(vec3.fromValues(1000, 1000, 1000)); +const modelViewProjectionMatrix = mat4.create(); +const viewMatrix = mat4.identity(); +const tmpMat4 = mat4.create(); // Comppute camera movement: // It rotates around Y axis with a slight pitch movement. function updateTransformationMatrix() { const now = Date.now() / 800; - mat4Impl.rotate(viewMatrix, vec3Impl.fromValues(1, 0, 0), (Math.PI / 10) * Math.sin(now), tmpMat4); - mat4Impl.rotate(tmpMat4, vec3Impl.fromValues(0, 1, 0), now * 0.2, tmpMat4); - mat4Impl.multiply(tmpMat4, modelMatrix, modelViewProjectionMatrix); - mat4Impl.multiply(projectionMatrix, modelViewProjectionMatrix, modelViewProjectionMatrix); + mat4.rotate(viewMatrix, vec3.fromValues(1, 0, 0), (Math.PI / 10) * Math.sin(now), tmpMat4); + mat4.rotate(tmpMat4, vec3.fromValues(0, 1, 0), now * 0.2, tmpMat4); + mat4.multiply(tmpMat4, modelMatrix, modelViewProjectionMatrix); + mat4.multiply(projectionMatrix, modelViewProjectionMatrix, modelViewProjectionMatrix); } function frame() { updateTransformationMatrix(); diff --git a/sample/cubemap/main.js.map b/sample/cubemap/main.js.map index a9b3948a..1485fa96 100644 --- a/sample/cubemap/main.js.map +++ b/sample/cubemap/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/cubemap/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport sampleCubemapWGSL from './sampleCubemap.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: sampleCubemapWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Since we are seeing from inside of the cube\n // and we are using the regular cube geomtry data with outward-facing normals,\n // the cullMode should be 'front' or 'none'.\n cullMode: 'none',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\n// Fetch the 6 separate images for negative/positive x, y, z axis of a cubemap\n// and upload it into a GPUTexture.\nlet cubemapTexture: GPUTexture;\n{\n // The order of the array layers is [+X, -X, +Y, -Y, +Z, -Z]\n const imgSrcs = [\n '../../assets/img/cubemap/posx.jpg',\n '../../assets/img/cubemap/negx.jpg',\n '../../assets/img/cubemap/posy.jpg',\n '../../assets/img/cubemap/negy.jpg',\n '../../assets/img/cubemap/posz.jpg',\n '../../assets/img/cubemap/negz.jpg',\n ];\n const promises = imgSrcs.map(async (src) => {\n const response = await fetch(src);\n return createImageBitmap(await response.blob());\n });\n const imageBitmaps = await Promise.all(promises);\n\n cubemapTexture = device.createTexture({\n dimension: '2d',\n // Create a 2d array texture.\n // Assume each image has the same size.\n size: [imageBitmaps[0].width, imageBitmaps[0].height, 6],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n\n for (let i = 0; i < imageBitmaps.length; i++) {\n const imageBitmap = imageBitmaps[i];\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: cubemapTexture, origin: [0, 0, i] },\n [imageBitmap.width, imageBitmap.height]\n );\n }\n}\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n offset: 0,\n size: uniformBufferSize,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: cubemapTexture.createView({\n dimension: 'cube',\n }),\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 3000);\n\nconst modelMatrix = mat4.scaling(vec3.fromValues(1000, 1000, 1000));\nconst modelViewProjectionMatrix = mat4.create() as Float32Array;\nconst viewMatrix = mat4.identity();\n\nconst tmpMat4 = mat4.create();\n\n// Comppute camera movement:\n// It rotates around Y axis with a slight pitch movement.\nfunction updateTransformationMatrix() {\n const now = Date.now() / 800;\n\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(1, 0, 0),\n (Math.PI / 10) * Math.sin(now),\n tmpMat4\n );\n mat4.rotate(tmpMat4, vec3.fromValues(0, 1, 0), now * 0.2, tmpMat4);\n\n mat4.multiply(tmpMat4, modelMatrix, modelViewProjectionMatrix);\n mat4.multiply(\n projectionMatrix,\n modelViewProjectionMatrix,\n modelViewProjectionMatrix\n );\n}\n\nfunction frame() {\n updateTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n modelViewProjectionMatrix.buffer,\n modelViewProjectionMatrix.byteOffset,\n modelViewProjectionMatrix.byteLength\n );\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.draw(cubeVertexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/cubemap/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. 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If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport sampleCubemapWGSL from './sampleCubemap.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: sampleCubemapWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Since we are seeing from inside of the cube\n // and we are using the regular cube geomtry data with outward-facing normals,\n // the cullMode should be 'front' or 'none'.\n cullMode: 'none',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\n// Fetch the 6 separate images for negative/positive x, y, z axis of a cubemap\n// and upload it into a GPUTexture.\nlet cubemapTexture: GPUTexture;\n{\n // The order of the array layers is [+X, -X, +Y, -Y, +Z, -Z]\n const imgSrcs = [\n '../../assets/img/cubemap/posx.jpg',\n '../../assets/img/cubemap/negx.jpg',\n '../../assets/img/cubemap/posy.jpg',\n '../../assets/img/cubemap/negy.jpg',\n '../../assets/img/cubemap/posz.jpg',\n '../../assets/img/cubemap/negz.jpg',\n ];\n const promises = imgSrcs.map(async (src) => {\n const response = await fetch(src);\n return createImageBitmap(await response.blob());\n });\n const imageBitmaps = await Promise.all(promises);\n\n cubemapTexture = device.createTexture({\n dimension: '2d',\n // Create a 2d array texture.\n // Assume each image has the same size.\n size: [imageBitmaps[0].width, imageBitmaps[0].height, 6],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n\n for (let i = 0; i < imageBitmaps.length; i++) {\n const imageBitmap = imageBitmaps[i];\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: cubemapTexture, origin: [0, 0, i] },\n [imageBitmap.width, imageBitmap.height]\n );\n }\n}\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n offset: 0,\n size: uniformBufferSize,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: cubemapTexture.createView({\n dimension: 'cube',\n }),\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 3000);\n\nconst modelMatrix = mat4.scaling(vec3.fromValues(1000, 1000, 1000));\nconst modelViewProjectionMatrix = mat4.create();\nconst viewMatrix = mat4.identity();\n\nconst tmpMat4 = mat4.create();\n\n// Comppute camera movement:\n// It rotates around Y axis with a slight pitch movement.\nfunction updateTransformationMatrix() {\n const now = Date.now() / 800;\n\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(1, 0, 0),\n (Math.PI / 10) * Math.sin(now),\n tmpMat4\n );\n mat4.rotate(tmpMat4, vec3.fromValues(0, 1, 0), now * 0.2, tmpMat4);\n\n mat4.multiply(tmpMat4, modelMatrix, modelViewProjectionMatrix);\n mat4.multiply(\n projectionMatrix,\n modelViewProjectionMatrix,\n modelViewProjectionMatrix\n );\n}\n\nfunction frame() {\n updateTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n modelViewProjectionMatrix.buffer,\n modelViewProjectionMatrix.byteOffset,\n modelViewProjectionMatrix.byteLength\n );\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.draw(cubeVertexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/cubemap/main.ts b/sample/cubemap/main.ts index 26bd4a8c..7a423ff2 100644 --- a/sample/cubemap/main.ts +++ b/sample/cubemap/main.ts @@ -194,7 +194,7 @@ const aspect = canvas.width / canvas.height; const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 3000); const modelMatrix = mat4.scaling(vec3.fromValues(1000, 1000, 1000)); -const modelViewProjectionMatrix = mat4.create() as Float32Array; +const modelViewProjectionMatrix = mat4.create(); const viewMatrix = mat4.identity(); const tmpMat4 = mat4.create(); diff --git a/sample/deferredRendering/main.js b/sample/deferredRendering/main.js index fe821a45..f3bc989a 100644 --- a/sample/deferredRendering/main.js +++ b/sample/deferredRendering/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); } - return dst; + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,945 +744,1699 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); } - return copy$3(a, dst); + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Return the vector exactly between 2 endpoint vectors - * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this - * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix - * - * or - * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always save to pass any matrix as the destination. So for example - * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. - * - */ -let MatType = Float32Array; /** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; -} -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in - * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. - */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } } } } @@ -1082,1450 +2452,1542 @@ function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v1 } } } - } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. - * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. - * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. - * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. - * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. - * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. - * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. - * - * Note: this is the inverse of `lookAt` - * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. - * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. - * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); - /* * Copyright 2022 Gregg Tavares * @@ -2547,62 +4009,760 @@ var mat4Impl = /*#__PURE__*/Object.freeze({ * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER * DEALINGS IN THE SOFTWARE. */ +/** + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; +} +const cache$1 = new Map(); /** * - * Vec4 math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec4`. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const v = vec4.create(); - * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * * It is always safe to pass any vector as the destination. So for example * - * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let VecType = Float32Array; -/** - * Sets the type this library creates for a Vec4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec4 - */ -function setDefaultType$1(ctor) { - const oldType = VecType; - VecType = ctor; - return oldType; -} -/** - * Creates a vec4; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @param w - Initial w value. - * @returns the created vector - */ -function create(x, y, z, w) { - const dst = new VecType(4); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; - if (w !== undefined) { - dst[3] = w; - } - } - } +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); } - return dst; + return api; } /* @@ -2627,612 +4787,704 @@ function create(x, y, z, w) { * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec4; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @param z - Initial w value. - * @returns the created vector - */ -const fromValues = create; -/** - * Sets the values of a Vec4 - * Also see {@link vec4.create} and {@link vec4.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param w fourth value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set(x, y, z, w, dst) { - dst = dst || new VecType(4); - dst[0] = x; - dst[1] = y; - dst[2] = z; - dst[3] = w; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil(v, dst) { - dst = dst || new VecType(4); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - dst[3] = Math.ceil(v[3]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor(v, dst) { - dst = dst || new VecType(4); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - dst[3] = Math.floor(v[3]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round(v, dst) { - dst = dst || new VecType(4); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - dst[3] = Math.round(v[3]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp(v, min = 0, max = 1, dst) { - dst = dst || new VecType(4); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - dst[3] = Math.min(max, Math.max(min, v[3])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add(a, b, dst) { - dst = dst || new VecType(4); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - dst[3] = a[3] + b[3]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled(a, b, scale, dst) { - dst = dst || new VecType(4); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - dst[3] = a[3] + b[3] * scale; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract(a, b, dst) { - dst = dst || new VecType(4); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - dst[3] = a[3] - b[3]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub = subtract; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp(a, b, t, dst) { - dst = dst || new VecType(4); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - dst[3] = a[3] + t * (b[3] - a[3]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV(a, b, t, dst) { - dst = dst || new VecType(4); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - dst[3] = a[3] + t[3] * (b[3] - a[3]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max(a, b, dst) { - dst = dst || new VecType(4); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - dst[3] = Math.max(a[3], b[3]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min(a, b, dst) { - dst = dst || new VecType(4); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - dst[3] = Math.min(a[3], b[3]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar(v, k, dst) { - dst = dst || new VecType(4); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - dst[3] = v[3] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale = mulScalar; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar(v, k, dst) { - dst = dst || new VecType(4); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - dst[3] = v[3] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse(v, dst) { - dst = dst || new VecType(4); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - dst[3] = 1 / v[3]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert = inverse; -/** - * Computes the dot product of two vectors - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const v3 = v[3]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len = length; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const v3 = v[3]; - return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq = lengthSq; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - const dw = a[3] - b[3]; - return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist = distance; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - const dw = a[3] - b[3]; - return dx * dx + dy * dy + dz * dz + dw * dw; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq = distanceSq; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize(v, dst) { - dst = dst || new VecType(4); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const v3 = v[3]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - dst[3] = v3 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate(v, dst) { - dst = dst || new VecType(4); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - dst[3] = -v[3]; - return dst; -} -/** - * Copies a vector. (same as {@link vec4.clone}) - * Also see {@link vec4.create} and {@link vec4.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy(v, dst) { - dst = dst || new VecType(4); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - dst[3] = v[3]; - return dst; -} -/** - * Clones a vector. (same as {@link vec4.copy}) - * Also see {@link vec4.create} and {@link vec4.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone = copy; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply(a, b, dst) { - dst = dst || new VecType(4); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - dst[3] = a[3] * b[3]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul = multiply; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide(a, b, dst) { - dst = dst || new VecType(4); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - dst[3] = a[3] / b[3]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div = divide; -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero(dst) { - dst = dst || new VecType(4); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - return dst; -} -/** - * transform vec4 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec4 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4(v, m, dst) { - dst = dst || new VecType(4); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = v[3]; - dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; - dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; - dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; - dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; - return dst; + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Treat a 4D vector as a direction and set it's length * - * @param a The vec4 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector - */ -function setLength(a, len, dst) { - dst = dst || new VecType(4); - normalize(a, dst); - return mulScalar(dst, len, dst); -} -/** - * Ensure a vector is not longer than a max length + * Vec4 math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this + * + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. + * + * or + * + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always safe to pass any vector as the destination. So for example + * + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param a The vec4 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long */ -function truncate(a, maxLen, dst) { - dst = dst || new VecType(4); - if (length(a) > maxLen) { - return setLength(a, maxLen, dst); +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); } - return copy(a, dst); + return api; } + /** - * Return the vector exactly between 2 endpoint vectors - * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 + * Generate wgpu-matrix API for type */ -function midpoint(a, b, dst) { - dst = dst || new VecType(4); - return lerp(a, b, 0.5, dst); +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var vec4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add, - addScaled: addScaled, - ceil: ceil, - clamp: clamp, - clone: clone, - copy: copy, - create: create, - dist: dist, - distSq: distSq, - distance: distance, - distanceSq: distanceSq, - div: div, - divScalar: divScalar, - divide: divide, - dot: dot, - equals: equals, - equalsApproximately: equalsApproximately, - floor: floor, - fromValues: fromValues, - inverse: inverse, - invert: invert, - len: len, - lenSq: lenSq, - length: length, - lengthSq: lengthSq, - lerp: lerp, - lerpV: lerpV, - max: max, - midpoint: midpoint, - min: min, - mul: mul, - mulScalar: mulScalar, - multiply: multiply, - negate: negate, - normalize: normalize, - round: round, - scale: scale, - set: set, - setDefaultType: setDefaultType$1, - setLength: setLength, - sub: sub, - subtract: subtract, - transformMat4: transformMat4, - truncate: truncate, - zero: zero -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -5770,7 +8022,7 @@ function generateNormals(maxAngle, positions, triangles) { const v1 = positions[n1]; const v2 = positions[n2]; const v3 = positions[n3]; - faceNormals.push(vec3Impl.normalize(vec3Impl.cross(vec3Impl.subtract(v2, v1), vec3Impl.subtract(v3, v1)))); + faceNormals.push(vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))); } let tempVerts = {}; let tempVertNdx = 0; @@ -5859,12 +8111,12 @@ function generateNormals(maxAngle, positions, triangles) { faces.forEach((faceNdx) => { // is this face facing the same way const otherFaceNormal = faceNormals[faceNdx]; - const dot = vec3Impl.dot(thisFaceNormal, otherFaceNormal); + const dot = vec3.dot(thisFaceNormal, otherFaceNormal); if (dot > maxAngleCos) { - vec3Impl.add(norm, otherFaceNormal, norm); + vec3.add(norm, otherFaceNormal, norm); } }); - vec3Impl.normalize(norm, norm); + vec3.normalize(norm, norm); newTriangle.push(getNewVertIndex(positions[ndx], norm)); } newTriangles.push(newTriangle); @@ -6161,8 +8413,8 @@ fn main( `; const kMaxNumLights = 1024; -const lightExtentMin = vec3Impl.fromValues(-50, -30, -50); -const lightExtentMax = vec3Impl.fromValues(50, 50, 50); +const lightExtentMin = vec3.fromValues(-50, -30, -50); +const lightExtentMax = vec3.fromValues(50, 50, 50); const canvas = document.querySelector('canvas'); const adapter = await navigator.gpu.requestAdapter(); const device = await adapter.requestDevice(); @@ -6482,7 +8734,7 @@ const gBufferTexturesBindGroup = device.createBindGroup({ }); // Lights data are uploaded in a storage buffer // which could be updated/culled/etc. with a compute shader -const extent = vec3Impl.sub(lightExtentMax, lightExtentMin); +const extent = vec3.sub(lightExtentMax, lightExtentMin); const lightDataStride = 8; const bufferSizeInByte = Float32Array.BYTES_PER_ELEMENT * lightDataStride * kMaxNumLights; const lightsBuffer = device.createBuffer({ @@ -6494,7 +8746,7 @@ const lightsBuffer = device.createBuffer({ // And simply move them along y-axis per frame to show they are // dynamic lightings const lightData = new Float32Array(lightsBuffer.getMappedRange()); -const tmpVec4 = vec4Impl.create(); +const tmpVec4 = vec4.create(); let offset = 0; for (let i = 0; i < kMaxNumLights; i++) { offset = lightDataStride * i; @@ -6577,30 +8829,29 @@ const lightsBufferComputeBindGroup = device.createBindGroup({ }); //-------------------- // Scene matrices -const eyePosition = vec3Impl.fromValues(0, 50, -100); -const upVector = vec3Impl.fromValues(0, 1, 0); -const origin = vec3Impl.fromValues(0, 0, 0); -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0); +const eyePosition = vec3.fromValues(0, 50, -100); +const upVector = vec3.fromValues(0, 1, 0); +const origin = vec3.fromValues(0, 0, 0); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0); // Move the model so it's centered. -const modelMatrix = mat4Impl.translation([0, -45, 0]); -const modelData = modelMatrix; -device.queue.writeBuffer(modelUniformBuffer, 0, modelData.buffer, modelData.byteOffset, modelData.byteLength); -const invertTransposeModelMatrix = mat4Impl.invert(modelMatrix); -mat4Impl.transpose(invertTransposeModelMatrix, invertTransposeModelMatrix); +const modelMatrix = mat4.translation([0, -45, 0]); +device.queue.writeBuffer(modelUniformBuffer, 0, modelMatrix); +const invertTransposeModelMatrix = mat4.invert(modelMatrix); +mat4.transpose(invertTransposeModelMatrix, invertTransposeModelMatrix); const normalModelData = invertTransposeModelMatrix; device.queue.writeBuffer(modelUniformBuffer, 64, normalModelData.buffer, normalModelData.byteOffset, normalModelData.byteLength); // Rotates the camera around the origin based on time. function getCameraViewProjMatrix() { const rad = Math.PI * (Date.now() / 5000); - const rotation = mat4Impl.rotateY(mat4Impl.translation(origin), rad); - const rotatedEyePosition = vec3Impl.transformMat4(eyePosition, rotation); - const viewMatrix = mat4Impl.lookAt(rotatedEyePosition, origin, upVector); - return mat4Impl.multiply(projectionMatrix, viewMatrix); + const rotation = mat4.rotateY(mat4.translation(origin), rad); + const rotatedEyePosition = vec3.transformMat4(eyePosition, rotation); + const viewMatrix = mat4.lookAt(rotatedEyePosition, origin, upVector); + return mat4.multiply(projectionMatrix, viewMatrix); } function frame() { const cameraViewProj = getCameraViewProjMatrix(); device.queue.writeBuffer(cameraUniformBuffer, 0, cameraViewProj.buffer, cameraViewProj.byteOffset, cameraViewProj.byteLength); - const cameraInvViewProj = mat4Impl.invert(cameraViewProj); + const cameraInvViewProj = mat4.invert(cameraViewProj); device.queue.writeBuffer(cameraUniformBuffer, 64, cameraInvViewProj.buffer, cameraInvViewProj.byteOffset, cameraInvViewProj.byteLength); const commandEncoder = device.createCommandEncoder(); { diff --git a/sample/deferredRendering/main.js.map b/sample/deferredRendering/main.js.map index 3a4611d8..c0ca1c25 100644 --- a/sample/deferredRendering/main.js.map +++ b/sample/deferredRendering/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../meshes/stanfordDragonData.ts","../../../../../meshes/utils.ts","../../../../../meshes/stanfordDragon.ts","../../../../../sample/deferredRendering/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","// from github.com/hughsk/stanford-dragon\nexport default {\n cells: [[5,0,2],[0,1,2],[0,3,1],[10,2,9],[10,11,2],[11,8,2],[4,0,5],[1,3,6],[4,5,2],[8,7,2],[13,12,8],[11,13,8],[10,13,11],[3,0,4],[2,7,4],[10,9,13],[12,7,8],[6,7,1],[1,7,2],[7,9,2],[4,7,14],[12,14,7],[9,7,6],[4,6,3],[18,17,16],[15,9,6],[20,21,18],[18,21,22],[16,15,18],[15,20,18],[19,15,16],[15,19,9],[23,17,18],[25,21,20],[6,4,24],[12,26,14],[15,29,30],[33,16,17],[26,14,12],[26,12,14],[27,6,24],[28,12,13],[15,27,29],[6,27,15],[15,30,20],[9,28,13],[9,31,28],[32,21,25],[22,21,32],[33,9,19],[16,33,19],[34,35,23],[18,34,23],[36,17,23],[36,23,35],[26,12,28],[25,20,30],[31,9,33],[32,18,22],[18,32,34],[17,36,33],[24,14,26],[24,4,14],[37,28,31],[38,39,40],[43,26,28],[43,28,37],[40,39,45],[41,46,42],[27,24,29],[30,32,25],[33,37,31],[36,44,33],[32,30,34],[36,35,52],[52,35,51],[85,49,48],[45,39,53],[24,26,55],[43,55,26],[30,29,58],[30,60,34],[37,59,43],[59,57,43],[32,60,34],[32,34,60],[60,32,34],[61,37,33],[60,35,34],[61,33,44],[52,51,62],[64,63,48],[65,63,48],[63,64,48],[65,48,49],[69,68,38],[38,68,39],[39,50,53],[45,70,40],[45,71,70],[74,73,41],[42,74,41],[47,74,41],[74,42,46],[74,46,41],[77,76,79],[79,76,78],[78,82,81],[79,78,81],[80,79,81],[24,55,54],[43,57,55],[60,30,58],[60,34,32],[33,98,37],[44,36,61],[36,52,83],[84,48,63],[85,48,84],[63,65,64],[86,50,66],[50,86,67],[50,39,87],[53,50,88],[53,88,89],[71,45,53],[89,90,53],[53,90,72],[47,73,72],[47,41,73],[74,47,75],[78,76,91],[91,92,78],[82,92,93],[78,92,82],[77,79,80],[81,82,95],[95,82,93],[94,96,97],[94,80,96],[81,95,104],[56,29,24],[33,37,98],[109,110,51],[85,84,99],[100,49,99],[99,49,85],[66,101,86],[87,66,50],[67,88,50],[69,40,70],[38,40,69],[88,102,89],[93,82,95],[82,93,95],[104,95,93],[97,96,105],[81,105,80],[96,80,105],[97,105,106],[105,81,104],[94,97,106],[56,58,29],[98,37,61],[35,108,109],[109,51,35],[62,51,110],[64,65,63],[65,49,100],[67,86,101],[68,87,39],[89,102,90],[90,47,72],[47,111,75],[91,76,115],[103,92,91],[92,103,93],[112,77,80],[112,80,94],[104,93,113],[60,58,120],[98,59,37],[122,36,83],[47,90,111],[116,94,106],[107,106,105],[107,105,118],[107,119,106],[60,108,35],[121,98,61],[36,122,61],[62,83,52],[65,100,63],[73,71,72],[72,71,53],[123,93,103],[56,24,54],[125,117,124],[107,126,119],[107,127,126],[109,128,110],[130,101,66],[102,67,132],[102,88,67],[102,114,133],[102,133,90],[135,125,124],[56,54,55],[123,137,93],[124,117,136],[116,106,119],[59,98,121],[118,127,107],[128,109,138],[122,83,61],[99,84,129],[99,129,130],[131,101,130],[101,131,132],[115,76,139],[139,76,77],[123,140,134],[123,103,140],[136,141,124],[134,142,137],[123,134,137],[137,113,93],[117,143,144],[117,125,143],[66,99,130],[132,131,146],[67,101,132],[146,114,132],[69,71,68],[70,71,69],[114,102,132],[159,56,55],[118,105,147],[145,59,121],[214,115,186],[482,186,611],[186,115,139],[134,149,150],[158,94,116],[55,57,160],[142,134,150],[104,147,105],[164,144,143],[148,127,147],[127,118,147],[61,83,151],[177,66,87],[112,154,77],[140,157,134],[160,159,55],[136,161,141],[136,141,161],[194,117,144],[59,166,165],[147,168,148],[138,172,128],[171,61,151],[110,173,62],[129,84,236],[176,63,100],[100,99,176],[209,180,152],[133,111,90],[183,182,181],[186,139,153],[153,139,77],[155,157,103],[157,140,103],[154,112,156],[134,157,149],[135,190,188],[188,190,189],[136,191,141],[162,160,57],[193,58,56],[193,197,58],[162,57,59],[117,194,136],[142,224,195],[196,113,137],[104,113,196],[104,196,147],[119,220,116],[120,58,197],[125,163,143],[163,164,143],[120,167,60],[200,227,145],[200,229,227],[169,145,121],[168,127,148],[151,83,201],[110,232,173],[62,201,83],[205,131,204],[99,66,87],[114,178,179],[133,209,152],[208,209,133],[133,152,111],[209,208,180],[213,183,184],[185,213,184],[214,155,91],[77,154,153],[77,156,154],[154,156,77],[215,149,157],[156,94,187],[156,112,94],[216,124,191],[191,124,141],[135,188,125],[125,188,192],[161,191,136],[219,116,220],[158,116,219],[159,160,56],[136,221,161],[162,57,222],[222,57,162],[166,222,162],[136,194,223],[136,223,221],[166,162,59],[137,142,195],[137,195,196],[164,194,144],[59,165,166],[225,168,147],[226,119,126],[167,199,60],[59,145,227],[60,199,108],[145,227,200],[145,200,227],[145,200,227],[145,227,200],[230,198,126],[228,170,138],[228,138,109],[145,229,200],[126,127,231],[231,127,168],[138,170,172],[171,121,61],[110,128,232],[234,129,233],[235,129,234],[175,233,129],[129,233,175],[84,174,236],[174,84,63],[130,129,175],[130,175,202],[100,174,63],[202,235,203],[130,202,203],[176,100,63],[131,203,204],[131,130,203],[87,176,99],[87,66,177],[178,131,205],[177,87,68],[178,114,146],[247,68,71],[114,179,206],[206,239,114],[239,133,114],[71,73,207],[133,240,208],[241,207,73],[208,240,180],[241,74,75],[241,73,74],[210,111,152],[211,111,210],[211,242,111],[242,75,111],[243,212,181],[181,243,182],[243,181,182],[181,212,183],[183,185,184],[155,103,91],[135,124,216],[187,94,158],[218,150,244],[246,150,218],[142,150,246],[224,142,246],[163,125,192],[59,227,166],[226,126,198],[108,199,109],[227,229,200],[229,145,169],[121,171,169],[175,233,129],[175,129,236],[235,202,175],[205,237,17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{ vec3, Vec3 } from 'wgpu-matrix';\n\nexport function computeSurfaceNormals(\n positions: [number, number, number][],\n triangles: [number, number, number][]\n): [number, number, number][] {\n const normals: [number, number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0, 0];\n });\n triangles.forEach(([i0, i1, i2]) => {\n const p0 = positions[i0];\n const p1 = positions[i1];\n const p2 = positions[i2];\n\n const v0 = vec3.subtract(p1, p0);\n const v1 = vec3.subtract(p2, p0);\n\n vec3.normalize(v0, v0);\n vec3.normalize(v1, v1);\n const norm = vec3.cross(v0, v1);\n\n // Accumulate the normals.\n vec3.add(normals[i0], norm, normals[i0]);\n vec3.add(normals[i1], norm, normals[i1]);\n vec3.add(normals[i2], norm, normals[i2]);\n });\n normals.forEach((n) => {\n // Normalize accumulated normals.\n vec3.normalize(n, n);\n });\n\n return normals;\n}\n\nfunction makeTriangleIndicesFn(triangles: [number, number, number][]) {\n let triNdx = 0;\n let vNdx = 0;\n const fn = function () {\n const ndx = triangles[triNdx][vNdx++];\n if (vNdx === 3) {\n vNdx = 0;\n ++triNdx;\n }\n return ndx;\n };\n fn.reset = function () {\n triNdx = 0;\n vNdx = 0;\n };\n fn.numElements = triangles.length * 3;\n return fn;\n}\n\n// adapted from: https://webglfundamentals.org/webgl/lessons/webgl-3d-geometry-lathe.htmls\nexport function generateNormals(\n maxAngle: number,\n positions: [number, number, number][],\n triangles: [number, number, number][]\n) {\n // first compute the normal of each face\n const getNextIndex = makeTriangleIndicesFn(triangles);\n const numFaceVerts = getNextIndex.numElements;\n const numVerts = positions.length;\n const numFaces = numFaceVerts / 3;\n const faceNormals: Vec3[] = [];\n\n // Compute the normal for every face.\n // While doing that, create a new vertex for every face vertex\n for (let i = 0; i < numFaces; ++i) {\n const n1 = getNextIndex();\n const n2 = getNextIndex();\n const n3 = getNextIndex();\n\n const v1 = positions[n1];\n const v2 = positions[n2];\n const v3 = positions[n3];\n\n faceNormals.push(\n vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))\n );\n }\n\n let tempVerts = {};\n let tempVertNdx = 0;\n\n // this assumes vertex positions are an exact match\n\n function getVertIndex(vert: [number, number, number]): number {\n const vertId = JSON.stringify(vert);\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n return newNdx;\n }\n\n // We need to figure out the shared vertices.\n // It's not as simple as looking at the faces (triangles)\n // because for example if we have a standard cylinder\n //\n //\n // 3-4\n // / \\\n // 2 5 Looking down a cylinder starting at S\n // | | and going around to E, E and S are not\n // 1 6 the same vertex in the data we have\n // \\ / as they don't share UV coords.\n // S/E\n //\n // the vertices at the start and end do not share vertices\n // since they have different UVs but if you don't consider\n // them to share vertices they will get the wrong normals\n\n const vertIndices: number[] = [];\n for (let i = 0; i < numVerts; ++i) {\n const vert = positions[i];\n vertIndices.push(getVertIndex(vert));\n }\n\n // go through every vertex and record which faces it's on\n const vertFaces: number[][] = [];\n getNextIndex.reset();\n for (let i = 0; i < numFaces; ++i) {\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n let faces = vertFaces[sharedNdx];\n if (!faces) {\n faces = [];\n vertFaces[sharedNdx] = faces;\n }\n faces.push(i);\n }\n }\n\n // now go through every face and compute the normals for each\n // vertex of the face. Only include faces that aren't more than\n // maxAngle different. Add the result to arrays of newPositions,\n // newTexcoords and newNormals, discarding any vertices that\n // are the same.\n tempVerts = {};\n tempVertNdx = 0;\n const newPositions: [number, number, number][] = [];\n const newNormals: [number, number, number][] = [];\n\n function getNewVertIndex(\n position: [number, number, number],\n normal: [number, number, number]\n ) {\n const vertId = JSON.stringify({ position, normal });\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n newPositions.push(position);\n newNormals.push(normal);\n return newNdx;\n }\n\n const newTriangles: [number, number, number][] = [];\n getNextIndex.reset();\n const maxAngleCos = Math.cos(maxAngle);\n // for each face\n for (let i = 0; i < numFaces; ++i) {\n // get the normal for this face\n const thisFaceNormal = faceNormals[i];\n // for each vertex on the face\n const newTriangle: number[] = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n const faces = vertFaces[sharedNdx];\n const norm = [0, 0, 0] as [number, number, number];\n faces.forEach((faceNdx: number) => {\n // is this face facing the same way\n const otherFaceNormal = faceNormals[faceNdx];\n const dot = vec3.dot(thisFaceNormal, otherFaceNormal);\n if (dot > maxAngleCos) {\n vec3.add(norm, otherFaceNormal, norm);\n }\n });\n vec3.normalize(norm, norm);\n newTriangle.push(getNewVertIndex(positions[ndx], norm));\n }\n newTriangles.push(newTriangle as [number, number, number]);\n }\n\n return {\n positions: newPositions,\n normals: newNormals,\n triangles: newTriangles,\n };\n}\n\ntype ProjectedPlane = 'xy' | 'xz' | 'yz';\n\nconst projectedPlane2Ids: { [key in ProjectedPlane]: [number, number] } = {\n xy: [0, 1],\n xz: [0, 2],\n yz: [1, 2],\n};\n\nexport function computeProjectedPlaneUVs(\n positions: [number, number, number][],\n projectedPlane: ProjectedPlane = 'xy'\n): [number, number][] {\n const idxs = projectedPlane2Ids[projectedPlane];\n const uvs: [number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0];\n });\n const extentMin = [Infinity, Infinity];\n const extentMax = [-Infinity, -Infinity];\n positions.forEach((pos, i) => {\n // Simply project to the selected plane\n uvs[i][0] = pos[idxs[0]];\n uvs[i][1] = pos[idxs[1]];\n\n extentMin[0] = Math.min(pos[idxs[0]], extentMin[0]);\n extentMin[1] = Math.min(pos[idxs[1]], extentMin[1]);\n extentMax[0] = Math.max(pos[idxs[0]], extentMax[0]);\n extentMax[1] = Math.max(pos[idxs[1]], extentMax[1]);\n });\n uvs.forEach((uv) => {\n uv[0] = (uv[0] - extentMin[0]) / (extentMax[0] - extentMin[0]);\n uv[1] = (uv[1] - extentMin[1]) / (extentMax[1] - extentMin[1]);\n });\n return uvs;\n}\n","import dragonRawData from './stanfordDragonData';\nimport { computeProjectedPlaneUVs, generateNormals } from './utils';\n\nconst { positions, normals, triangles } = generateNormals(\n Math.PI,\n dragonRawData.positions as [number, number, number][],\n dragonRawData.cells as [number, number, number][]\n);\n\nconst uvs = computeProjectedPlaneUVs(positions, 'xy');\n\n// Push indices for an additional ground plane\ntriangles.push(\n [positions.length, positions.length + 2, positions.length + 1],\n [positions.length, positions.length + 1, positions.length + 3]\n);\n\n// Push vertex attributes for an additional ground plane\n// prettier-ignore\npositions.push(\n [-100, 20, -100], //\n [ 100, 20, 100], //\n [-100, 20, 100], //\n [ 100, 20, -100]\n);\nnormals.push(\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0]\n);\nuvs.push(\n [0, 0], //\n [1, 1], //\n [0, 1], //\n [1, 0]\n);\n\nexport const mesh = {\n positions,\n triangles,\n normals,\n uvs,\n};\n","import { mat4, vec3, vec4 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport { mesh } from '../../meshes/stanfordDragon';\n\nimport lightUpdate from './lightUpdate.wgsl';\nimport vertexWriteGBuffers from './vertexWriteGBuffers.wgsl';\nimport fragmentWriteGBuffers from './fragmentWriteGBuffers.wgsl';\nimport vertexTextureQuad from './vertexTextureQuad.wgsl';\nimport fragmentGBuffersDebugView from './fragmentGBuffersDebugView.wgsl';\nimport fragmentDeferredRendering from './fragmentDeferredRendering.wgsl';\n\nconst kMaxNumLights = 1024;\nconst lightExtentMin = vec3.fromValues(-50, -30, -50);\nconst lightExtentMax = vec3.fromValues(50, 50, 50);\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst aspect = canvas.width / canvas.height;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create the model vertex buffer.\nconst kVertexStride = 8;\nconst vertexBuffer = device.createBuffer({\n // position: vec3, normal: vec3, uv: vec2\n size: mesh.positions.length * kVertexStride * Float32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\n{\n const mapping = new Float32Array(vertexBuffer.getMappedRange());\n for (let i = 0; i < mesh.positions.length; ++i) {\n mapping.set(mesh.positions[i], kVertexStride * i);\n mapping.set(mesh.normals[i], kVertexStride * i + 3);\n mapping.set(mesh.uvs[i], kVertexStride * i + 6);\n }\n vertexBuffer.unmap();\n}\n\n// Create the model index buffer.\nconst indexCount = mesh.triangles.length * 3;\nconst indexBuffer = device.createBuffer({\n size: indexCount * Uint16Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n});\n{\n const mapping = new Uint16Array(indexBuffer.getMappedRange());\n for (let i = 0; i < mesh.triangles.length; ++i) {\n mapping.set(mesh.triangles[i], 3 * i);\n }\n indexBuffer.unmap();\n}\n\n// GBuffer texture render targets\nconst gBufferTexture2DFloat16 = device.createTexture({\n size: [canvas.width, canvas.height],\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n format: 'rgba16float',\n});\nconst gBufferTextureAlbedo = device.createTexture({\n size: [canvas.width, canvas.height],\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n format: 'bgra8unorm',\n});\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n});\n\nconst gBufferTextureViews = [\n gBufferTexture2DFloat16.createView(),\n gBufferTextureAlbedo.createView(),\n depthTexture.createView(),\n];\n\nconst vertexBuffers: Iterable = [\n {\n arrayStride: Float32Array.BYTES_PER_ELEMENT * 8,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: 0,\n format: 'float32x3',\n },\n {\n // normal\n shaderLocation: 1,\n offset: Float32Array.BYTES_PER_ELEMENT * 3,\n format: 'float32x3',\n },\n {\n // uv\n shaderLocation: 2,\n offset: Float32Array.BYTES_PER_ELEMENT * 6,\n format: 'float32x2',\n },\n ],\n },\n];\n\nconst primitive: GPUPrimitiveState = {\n topology: 'triangle-list',\n cullMode: 'back',\n};\n\nconst writeGBuffersPipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: vertexWriteGBuffers,\n }),\n buffers: vertexBuffers,\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentWriteGBuffers,\n }),\n targets: [\n // normal\n { format: 'rgba16float' },\n // albedo\n { format: 'bgra8unorm' },\n ],\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n primitive,\n});\n\nconst gBufferTexturesBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'unfilterable-float',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'unfilterable-float',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'depth',\n },\n },\n ],\n});\n\nconst lightsBufferBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n buffer: {\n type: 'read-only-storage',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n },\n },\n ],\n});\n\nconst gBuffersDebugViewPipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [gBufferTexturesBindGroupLayout],\n }),\n vertex: {\n module: device.createShaderModule({\n code: vertexTextureQuad,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentGBuffersDebugView,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n constants: {\n canvasSizeWidth: canvas.width,\n canvasSizeHeight: canvas.height,\n },\n },\n primitive,\n});\n\nconst deferredRenderPipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [\n gBufferTexturesBindGroupLayout,\n lightsBufferBindGroupLayout,\n ],\n }),\n vertex: {\n module: device.createShaderModule({\n code: vertexTextureQuad,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentDeferredRendering,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive,\n});\n\nconst writeGBufferPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: gBufferTextureViews[0],\n\n clearValue: [0.0, 0.0, 1.0, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n {\n view: gBufferTextureViews[1],\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst textureQuadPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n};\n\nconst settings = {\n mode: 'rendering',\n numLights: 128,\n};\nconst configUniformBuffer = (() => {\n const buffer = device.createBuffer({\n size: Uint32Array.BYTES_PER_ELEMENT,\n mappedAtCreation: true,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n new Uint32Array(buffer.getMappedRange())[0] = settings.numLights;\n buffer.unmap();\n return buffer;\n})();\n\nconst gui = new GUI();\ngui.add(settings, 'mode', ['rendering', 'gBuffers view']);\ngui\n .add(settings, 'numLights', 1, kMaxNumLights)\n .step(1)\n .onChange(() => {\n device.queue.writeBuffer(\n configUniformBuffer,\n 0,\n new Uint32Array([settings.numLights])\n );\n });\n\nconst modelUniformBuffer = device.createBuffer({\n size: 4 * 16 * 2, // two 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst cameraUniformBuffer = device.createBuffer({\n size: 4 * 16 * 2, // two 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst sceneUniformBindGroup = device.createBindGroup({\n layout: writeGBuffersPipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: modelUniformBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: cameraUniformBuffer,\n },\n },\n ],\n});\n\nconst gBufferTexturesBindGroup = device.createBindGroup({\n layout: gBufferTexturesBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: gBufferTextureViews[0],\n },\n {\n binding: 1,\n resource: gBufferTextureViews[1],\n },\n {\n binding: 2,\n resource: gBufferTextureViews[2],\n },\n ],\n});\n\n// Lights data are uploaded in a storage buffer\n// which could be updated/culled/etc. with a compute shader\nconst extent = vec3.sub(lightExtentMax, lightExtentMin);\nconst lightDataStride = 8;\nconst bufferSizeInByte =\n Float32Array.BYTES_PER_ELEMENT * lightDataStride * kMaxNumLights;\nconst lightsBuffer = device.createBuffer({\n size: bufferSizeInByte,\n usage: GPUBufferUsage.STORAGE,\n mappedAtCreation: true,\n});\n\n// We randomaly populate lights randomly in a box range\n// And simply move them along y-axis per frame to show they are\n// dynamic lightings\nconst lightData = new Float32Array(lightsBuffer.getMappedRange());\nconst tmpVec4 = vec4.create();\nlet offset = 0;\nfor (let i = 0; i < kMaxNumLights; i++) {\n offset = lightDataStride * i;\n // position\n for (let i = 0; i < 3; i++) {\n tmpVec4[i] = Math.random() * extent[i] + lightExtentMin[i];\n }\n tmpVec4[3] = 1;\n lightData.set(tmpVec4, offset);\n // color\n tmpVec4[0] = Math.random() * 2;\n tmpVec4[1] = Math.random() * 2;\n tmpVec4[2] = Math.random() * 2;\n // radius\n tmpVec4[3] = 20.0;\n lightData.set(tmpVec4, offset + 4);\n}\nlightsBuffer.unmap();\n\nconst lightExtentBuffer = device.createBuffer({\n size: 4 * 8,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst lightExtentData = new Float32Array(8);\nlightExtentData.set(lightExtentMin, 0);\nlightExtentData.set(lightExtentMax, 4);\ndevice.queue.writeBuffer(\n lightExtentBuffer,\n 0,\n lightExtentData.buffer,\n lightExtentData.byteOffset,\n lightExtentData.byteLength\n);\n\nconst lightUpdateComputePipeline = device.createComputePipeline({\n layout: 'auto',\n compute: {\n module: device.createShaderModule({\n code: lightUpdate,\n }),\n },\n});\nconst lightsBufferBindGroup = device.createBindGroup({\n layout: lightsBufferBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: lightsBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: configUniformBuffer,\n },\n },\n {\n binding: 2,\n resource: {\n buffer: cameraUniformBuffer,\n },\n },\n ],\n});\nconst lightsBufferComputeBindGroup = device.createBindGroup({\n layout: lightUpdateComputePipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: lightsBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: configUniformBuffer,\n },\n },\n {\n binding: 2,\n resource: {\n buffer: lightExtentBuffer,\n },\n },\n ],\n});\n//--------------------\n\n// Scene matrices\nconst eyePosition = vec3.fromValues(0, 50, -100);\nconst upVector = vec3.fromValues(0, 1, 0);\nconst origin = vec3.fromValues(0, 0, 0);\n\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0);\n\n// Move the model so it's centered.\nconst modelMatrix = mat4.translation([0, -45, 0]);\n\nconst modelData = modelMatrix as Float32Array;\ndevice.queue.writeBuffer(\n modelUniformBuffer,\n 0,\n modelData.buffer,\n modelData.byteOffset,\n modelData.byteLength\n);\nconst invertTransposeModelMatrix = mat4.invert(modelMatrix);\nmat4.transpose(invertTransposeModelMatrix, invertTransposeModelMatrix);\nconst normalModelData = invertTransposeModelMatrix as Float32Array;\ndevice.queue.writeBuffer(\n modelUniformBuffer,\n 64,\n normalModelData.buffer,\n normalModelData.byteOffset,\n normalModelData.byteLength\n);\n\n// Rotates the camera around the origin based on time.\nfunction getCameraViewProjMatrix() {\n const rad = Math.PI * (Date.now() / 5000);\n const rotation = mat4.rotateY(mat4.translation(origin), rad);\n const rotatedEyePosition = vec3.transformMat4(eyePosition, rotation);\n\n const viewMatrix = mat4.lookAt(rotatedEyePosition, origin, upVector);\n\n return mat4.multiply(projectionMatrix, viewMatrix) as Float32Array;\n}\n\nfunction frame() {\n const cameraViewProj = getCameraViewProjMatrix();\n device.queue.writeBuffer(\n cameraUniformBuffer,\n 0,\n cameraViewProj.buffer,\n cameraViewProj.byteOffset,\n cameraViewProj.byteLength\n );\n const cameraInvViewProj = mat4.invert(cameraViewProj) as Float32Array;\n device.queue.writeBuffer(\n cameraUniformBuffer,\n 64,\n cameraInvViewProj.buffer,\n cameraInvViewProj.byteOffset,\n cameraInvViewProj.byteLength\n );\n\n const commandEncoder = device.createCommandEncoder();\n {\n // Write position, normal, albedo etc. data to gBuffers\n const gBufferPass = commandEncoder.beginRenderPass(\n writeGBufferPassDescriptor\n );\n gBufferPass.setPipeline(writeGBuffersPipeline);\n gBufferPass.setBindGroup(0, sceneUniformBindGroup);\n gBufferPass.setVertexBuffer(0, vertexBuffer);\n gBufferPass.setIndexBuffer(indexBuffer, 'uint16');\n gBufferPass.drawIndexed(indexCount);\n gBufferPass.end();\n }\n {\n // Update lights position\n const lightPass = commandEncoder.beginComputePass();\n lightPass.setPipeline(lightUpdateComputePipeline);\n lightPass.setBindGroup(0, lightsBufferComputeBindGroup);\n lightPass.dispatchWorkgroups(Math.ceil(kMaxNumLights / 64));\n lightPass.end();\n }\n {\n if (settings.mode === 'gBuffers view') {\n // GBuffers debug view\n // Left: depth\n // Middle: normal\n // Right: albedo (use uv to mimic a checkerboard texture)\n textureQuadPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n const debugViewPass = commandEncoder.beginRenderPass(\n textureQuadPassDescriptor\n );\n debugViewPass.setPipeline(gBuffersDebugViewPipeline);\n debugViewPass.setBindGroup(0, gBufferTexturesBindGroup);\n debugViewPass.draw(6);\n debugViewPass.end();\n } else {\n // Deferred rendering\n textureQuadPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n const deferredRenderingPass = commandEncoder.beginRenderPass(\n textureQuadPassDescriptor\n );\n deferredRenderingPass.setPipeline(deferredRenderPipeline);\n deferredRenderingPass.setBindGroup(0, gBufferTexturesBindGroup);\n deferredRenderingPass.setBindGroup(1, lightsBufferBindGroup);\n deferredRenderingPass.draw(6);\n deferredRenderingPass.end();\n }\n }\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../meshes/stanfordDragonData.ts","../../../../../meshes/utils.ts","../../../../../meshes/stanfordDragon.ts","../../../../../sample/deferredRendering/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","// from github.com/hughsk/stanford-dragon\nexport default {\n cells: [[5,0,2],[0,1,2],[0,3,1],[10,2,9],[10,11,2],[11,8,2],[4,0,5],[1,3,6],[4,5,2],[8,7,2],[13,12,8],[11,13,8],[10,13,11],[3,0,4],[2,7,4],[10,9,13],[12,7,8],[6,7,1],[1,7,2],[7,9,2],[4,7,14],[12,14,7],[9,7,6],[4,6,3],[18,17,16],[15,9,6],[20,21,18],[18,21,22],[16,15,18],[15,20,18],[19,15,16],[15,19,9],[23,17,18],[25,21,20],[6,4,24],[12,26,14],[15,29,30],[33,16,17],[26,14,12],[26,12,14],[27,6,24],[28,12,13],[15,27,29],[6,27,15],[15,30,20],[9,28,13],[9,31,28],[32,21,25],[22,21,32],[33,9,19],[16,33,19],[34,35,23],[18,34,23],[36,17,23],[36,23,35],[26,12,28],[25,20,30],[31,9,33],[32,18,22],[18,32,34],[17,36,33],[24,14,26],[24,4,14],[37,28,31],[38,39,40],[43,26,28],[43,28,37],[40,39,45],[41,46,42],[27,24,29],[30,32,25],[33,37,31],[36,44,33],[32,30,34],[36,35,52],[52,35,51],[85,49,48],[45,39,53],[24,26,55],[43,55,26],[30,29,58],[30,60,34],[37,59,43],[59,57,43],[32,60,34],[32,34,60],[60,32,34],[61,37,33],[60,35,34],[61,33,44],[52,51,62],[64,63,48],[65,63,48],[63,64,48],[65,48,49],[69,68,38],[38,68,39],[39,50,53],[45,70,40],[45,71,70],[74,73,41],[42,74,41],[47,74,41],[74,42,46],[74,46,41],[77,76,79],[79,76,78],[78,82,81],[79,78,81],[80,79,81],[24,55,54],[43,57,55],[60,30,58],[60,34,32],[33,98,37],[44,36,61],[36,52,83],[84,48,63],[85,48,84],[63,65,64],[86,50,66],[50,86,67],[50,39,87],[53,50,88],[53,88,89],[71,45,53],[89,90,53],[53,90,72],[47,73,72],[47,41,73],[74,47,75],[78,76,91],[91,92,78],[82,92,93],[78,92,82],[77,79,80],[81,82,95],[95,82,93],[94,96,97],[94,80,96],[81,95,104],[56,29,24],[33,37,98],[109,110,51],[85,84,99],[100,49,99],[99,49,85],[66,101,86],[87,66,50],[67,88,50],[69,40,70],[38,40,69],[88,102,89],[93,82,95],[82,93,95],[104,95,93],[97,96,105],[81,105,80],[96,80,105],[97,105,106],[105,81,104],[94,97,106],[56,58,29],[98,37,61],[35,108,109],[109,51,35],[62,51,110],[64,65,63],[65,49,100],[67,86,101],[68,87,39],[89,102,90],[90,47,72],[47,111,75],[91,76,115],[103,92,91],[92,103,93],[112,77,80],[112,80,94],[104,93,113],[60,58,120],[98,59,37],[122,36,83],[47,90,111],[116,94,106],[107,106,105],[107,105,118],[107,119,106],[60,108,35],[121,98,61],[36,122,61],[62,83,52],[65,100,63],[73,71,72],[72,71,53],[123,93,103],[56,24,54],[125,117,124],[107,126,119],[107,127,126],[109,128,110],[130,101,66],[102,67,132],[102,88,67],[102,114,133],[102,133,90],[135,125,124],[56,54,55],[123,137,93],[124,117,136],[116,106,119],[59,98,121],[118,127,107],[128,109,138],[122,83,61],[99,84,129],[99,129,130],[131,101,130],[101,131,132],[115,76,139],[139,76,77],[123,140,134],[123,103,140],[136,141,124],[134,142,137],[123,134,137],[137,113,93],[117,143,144],[117,125,143],[66,99,130],[132,131,146],[67,101,132],[146,114,132],[69,71,68],[70,71,69],[114,102,132],[159,56,55],[118,105,147],[145,59,121],[214,115,186],[482,186,611],[186,115,139],[134,149,150],[158,94,116],[55,57,160],[142,134,150],[104,147,105],[164,144,143],[148,127,147],[127,118,147],[61,83,151],[177,66,87],[112,154,77],[140,157,134],[160,159,55],[136,161,141],[136,141,161],[194,117,144],[59,166,165],[147,168,148],[138,172,128],[171,61,151],[110,173,62],[129,84,236],[176,63,100],[100,99,176],[209,180,152],[133,111,90],[183,182,181],[186,139,153],[153,139,77],[155,157,103],[157,140,103],[154,112,156],[134,157,149],[135,190,188],[188,190,189],[136,191,141],[162,160,57],[193,58,56],[193,197,58],[162,57,59],[117,194,136],[142,224,195],[196,113,137],[104,113,196],[104,196,147],[119,220,116],[120,58,197],[125,163,143],[163,164,143],[120,167,60],[200,227,145],[200,229,227],[169,145,121],[168,127,148],[151,83,201],[110,232,173],[62,201,83],[205,131,204],[99,66,87],[114,178,179],[133,209,152],[208,209,133],[133,152,111],[209,208,180],[213,183,184],[185,213,184],[214,155,91],[77,154,153],[77,156,154],[154,156,77],[215,149,157],[156,94,187],[156,112,94],[216,124,191],[191,124,141],[135,188,125],[125,188,192],[161,191,136],[219,116,220],[158,116,219],[159,160,56],[136,221,161],[162,57,222],[222,57,162],[166,222,162],[136,194,223],[136,223,221],[166,162,59],[137,142,195],[137,195,196],[164,194,144],[59,165,166],[225,168,147],[226,119,126],[167,199,60],[59,145,227],[60,199,108],[145,227,200],[145,200,227],[145,200,227],[145,227,200],[230,198,126],[228,170,138],[228,138,109],[145,229,200],[126,127,231],[231,127,168],[138,170,172],[171,121,61],[110,128,232],[234,129,233],[235,129,234],[175,233,129],[129,233,175],[84,174,236],[174,84,63],[130,129,175],[130,175,202],[100,174,63],[202,235,203],[130,202,203],[176,100,63],[131,203,204],[131,130,203],[87,176,99],[87,66,177],[178,131,205],[177,87,68],[178,114,146],[247,68,71],[114,179,206],[206,239,114],[239,133,114],[71,73,207],[133,240,208],[241,207,73],[208,240,180],[241,74,75],[241,73,74],[210,111,152],[211,111,210],[211,242,111],[242,75,111],[243,212,181],[181,243,182],[243,181,182],[181,212,183],[183,185,184],[155,103,91],[135,124,216],[187,94,158],[218,150,244],[246,150,218],[142,150,246],[224,142,246],[163,125,192],[59,227,166],[226,126,198],[108,199,109],[227,229,200],[229,145,169],[121,171,169],[175,233,129],[175,129,236],[235,202,175],[205,237,17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{ vec3, Vec3 } from 'wgpu-matrix';\n\nexport function computeSurfaceNormals(\n positions: [number, number, number][],\n triangles: [number, number, number][]\n): [number, number, number][] {\n const normals: [number, number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0, 0];\n });\n triangles.forEach(([i0, i1, i2]) => {\n const p0 = positions[i0];\n const p1 = positions[i1];\n const p2 = positions[i2];\n\n const v0 = vec3.subtract(p1, p0);\n const v1 = vec3.subtract(p2, p0);\n\n vec3.normalize(v0, v0);\n vec3.normalize(v1, v1);\n const norm = vec3.cross(v0, v1);\n\n // Accumulate the normals.\n vec3.add(normals[i0], norm, normals[i0]);\n vec3.add(normals[i1], norm, normals[i1]);\n vec3.add(normals[i2], norm, normals[i2]);\n });\n normals.forEach((n) => {\n // Normalize accumulated normals.\n vec3.normalize(n, n);\n });\n\n return normals;\n}\n\nfunction makeTriangleIndicesFn(triangles: [number, number, number][]) {\n let triNdx = 0;\n let vNdx = 0;\n const fn = function () {\n const ndx = triangles[triNdx][vNdx++];\n if (vNdx === 3) {\n vNdx = 0;\n ++triNdx;\n }\n return ndx;\n };\n fn.reset = function () {\n triNdx = 0;\n vNdx = 0;\n };\n fn.numElements = triangles.length * 3;\n return fn;\n}\n\n// adapted from: https://webglfundamentals.org/webgl/lessons/webgl-3d-geometry-lathe.htmls\nexport function generateNormals(\n maxAngle: number,\n positions: [number, number, number][],\n triangles: [number, number, number][]\n) {\n // first compute the normal of each face\n const getNextIndex = makeTriangleIndicesFn(triangles);\n const numFaceVerts = getNextIndex.numElements;\n const numVerts = positions.length;\n const numFaces = numFaceVerts / 3;\n const faceNormals: Vec3[] = [];\n\n // Compute the normal for every face.\n // While doing that, create a new vertex for every face vertex\n for (let i = 0; i < numFaces; ++i) {\n const n1 = getNextIndex();\n const n2 = getNextIndex();\n const n3 = getNextIndex();\n\n const v1 = positions[n1];\n const v2 = positions[n2];\n const v3 = positions[n3];\n\n faceNormals.push(\n vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))\n );\n }\n\n let tempVerts = {};\n let tempVertNdx = 0;\n\n // this assumes vertex positions are an exact match\n\n function getVertIndex(vert: [number, number, number]): number {\n const vertId = JSON.stringify(vert);\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n return newNdx;\n }\n\n // We need to figure out the shared vertices.\n // It's not as simple as looking at the faces (triangles)\n // because for example if we have a standard cylinder\n //\n //\n // 3-4\n // / \\\n // 2 5 Looking down a cylinder starting at S\n // | | and going around to E, E and S are not\n // 1 6 the same vertex in the data we have\n // \\ / as they don't share UV coords.\n // S/E\n //\n // the vertices at the start and end do not share vertices\n // since they have different UVs but if you don't consider\n // them to share vertices they will get the wrong normals\n\n const vertIndices: number[] = [];\n for (let i = 0; i < numVerts; ++i) {\n const vert = positions[i];\n vertIndices.push(getVertIndex(vert));\n }\n\n // go through every vertex and record which faces it's on\n const vertFaces: number[][] = [];\n getNextIndex.reset();\n for (let i = 0; i < numFaces; ++i) {\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n let faces = vertFaces[sharedNdx];\n if (!faces) {\n faces = [];\n vertFaces[sharedNdx] = faces;\n }\n faces.push(i);\n }\n }\n\n // now go through every face and compute the normals for each\n // vertex of the face. Only include faces that aren't more than\n // maxAngle different. Add the result to arrays of newPositions,\n // newTexcoords and newNormals, discarding any vertices that\n // are the same.\n tempVerts = {};\n tempVertNdx = 0;\n const newPositions: [number, number, number][] = [];\n const newNormals: [number, number, number][] = [];\n\n function getNewVertIndex(\n position: [number, number, number],\n normal: [number, number, number]\n ) {\n const vertId = JSON.stringify({ position, normal });\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n newPositions.push(position);\n newNormals.push(normal);\n return newNdx;\n }\n\n const newTriangles: [number, number, number][] = [];\n getNextIndex.reset();\n const maxAngleCos = Math.cos(maxAngle);\n // for each face\n for (let i = 0; i < numFaces; ++i) {\n // get the normal for this face\n const thisFaceNormal = faceNormals[i];\n // for each vertex on the face\n const newTriangle: number[] = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n const faces = vertFaces[sharedNdx];\n const norm = [0, 0, 0] as [number, number, number];\n faces.forEach((faceNdx: number) => {\n // is this face facing the same way\n const otherFaceNormal = faceNormals[faceNdx];\n const dot = vec3.dot(thisFaceNormal, otherFaceNormal);\n if (dot > maxAngleCos) {\n vec3.add(norm, otherFaceNormal, norm);\n }\n });\n vec3.normalize(norm, norm);\n newTriangle.push(getNewVertIndex(positions[ndx], norm));\n }\n newTriangles.push(newTriangle as [number, number, number]);\n }\n\n return {\n positions: newPositions,\n normals: newNormals,\n triangles: newTriangles,\n };\n}\n\ntype ProjectedPlane = 'xy' | 'xz' | 'yz';\n\nconst projectedPlane2Ids: { [key in ProjectedPlane]: [number, number] } = {\n xy: [0, 1],\n xz: [0, 2],\n yz: [1, 2],\n};\n\nexport function computeProjectedPlaneUVs(\n positions: [number, number, number][],\n projectedPlane: ProjectedPlane = 'xy'\n): [number, number][] {\n const idxs = projectedPlane2Ids[projectedPlane];\n const uvs: [number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0];\n });\n const extentMin = [Infinity, Infinity];\n const extentMax = [-Infinity, -Infinity];\n positions.forEach((pos, i) => {\n // Simply project to the selected plane\n uvs[i][0] = pos[idxs[0]];\n uvs[i][1] = pos[idxs[1]];\n\n extentMin[0] = Math.min(pos[idxs[0]], extentMin[0]);\n extentMin[1] = Math.min(pos[idxs[1]], extentMin[1]);\n extentMax[0] = Math.max(pos[idxs[0]], extentMax[0]);\n extentMax[1] = Math.max(pos[idxs[1]], extentMax[1]);\n });\n uvs.forEach((uv) => {\n uv[0] = (uv[0] - extentMin[0]) / (extentMax[0] - extentMin[0]);\n uv[1] = (uv[1] - extentMin[1]) / (extentMax[1] - extentMin[1]);\n });\n return uvs;\n}\n","import dragonRawData from './stanfordDragonData';\nimport { computeProjectedPlaneUVs, generateNormals } from './utils';\n\nconst { positions, normals, triangles } = generateNormals(\n Math.PI,\n dragonRawData.positions as [number, number, number][],\n dragonRawData.cells as [number, number, number][]\n);\n\nconst uvs = computeProjectedPlaneUVs(positions, 'xy');\n\n// Push indices for an additional ground plane\ntriangles.push(\n [positions.length, positions.length + 2, positions.length + 1],\n [positions.length, positions.length + 1, positions.length + 3]\n);\n\n// Push vertex attributes for an additional ground plane\n// prettier-ignore\npositions.push(\n [-100, 20, -100], //\n [ 100, 20, 100], //\n [-100, 20, 100], //\n [ 100, 20, -100]\n);\nnormals.push(\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0]\n);\nuvs.push(\n [0, 0], //\n [1, 1], //\n [0, 1], //\n [1, 0]\n);\n\nexport const mesh = {\n positions,\n triangles,\n normals,\n uvs,\n};\n","import { mat4, vec3, vec4 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport { mesh } from '../../meshes/stanfordDragon';\n\nimport lightUpdate from './lightUpdate.wgsl';\nimport vertexWriteGBuffers from './vertexWriteGBuffers.wgsl';\nimport fragmentWriteGBuffers from './fragmentWriteGBuffers.wgsl';\nimport vertexTextureQuad from './vertexTextureQuad.wgsl';\nimport fragmentGBuffersDebugView from './fragmentGBuffersDebugView.wgsl';\nimport fragmentDeferredRendering from './fragmentDeferredRendering.wgsl';\n\nconst kMaxNumLights = 1024;\nconst lightExtentMin = vec3.fromValues(-50, -30, -50);\nconst lightExtentMax = vec3.fromValues(50, 50, 50);\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst aspect = canvas.width / canvas.height;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create the model vertex buffer.\nconst kVertexStride = 8;\nconst vertexBuffer = device.createBuffer({\n // position: vec3, normal: vec3, uv: vec2\n size: mesh.positions.length * kVertexStride * Float32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\n{\n const mapping = new Float32Array(vertexBuffer.getMappedRange());\n for (let i = 0; i < mesh.positions.length; ++i) {\n mapping.set(mesh.positions[i], kVertexStride * i);\n mapping.set(mesh.normals[i], kVertexStride * i + 3);\n mapping.set(mesh.uvs[i], kVertexStride * i + 6);\n }\n vertexBuffer.unmap();\n}\n\n// Create the model index buffer.\nconst indexCount = mesh.triangles.length * 3;\nconst indexBuffer = device.createBuffer({\n size: indexCount * Uint16Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n});\n{\n const mapping = new Uint16Array(indexBuffer.getMappedRange());\n for (let i = 0; i < mesh.triangles.length; ++i) {\n mapping.set(mesh.triangles[i], 3 * i);\n }\n indexBuffer.unmap();\n}\n\n// GBuffer texture render targets\nconst gBufferTexture2DFloat16 = device.createTexture({\n size: [canvas.width, canvas.height],\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n format: 'rgba16float',\n});\nconst gBufferTextureAlbedo = device.createTexture({\n size: [canvas.width, canvas.height],\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n format: 'bgra8unorm',\n});\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n});\n\nconst gBufferTextureViews = [\n gBufferTexture2DFloat16.createView(),\n gBufferTextureAlbedo.createView(),\n depthTexture.createView(),\n];\n\nconst vertexBuffers: Iterable = [\n {\n arrayStride: Float32Array.BYTES_PER_ELEMENT * 8,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: 0,\n format: 'float32x3',\n },\n {\n // normal\n shaderLocation: 1,\n offset: Float32Array.BYTES_PER_ELEMENT * 3,\n format: 'float32x3',\n },\n {\n // uv\n shaderLocation: 2,\n offset: Float32Array.BYTES_PER_ELEMENT * 6,\n format: 'float32x2',\n },\n ],\n },\n];\n\nconst primitive: GPUPrimitiveState = {\n topology: 'triangle-list',\n cullMode: 'back',\n};\n\nconst writeGBuffersPipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: vertexWriteGBuffers,\n }),\n buffers: vertexBuffers,\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentWriteGBuffers,\n }),\n targets: [\n // normal\n { format: 'rgba16float' },\n // albedo\n { format: 'bgra8unorm' },\n ],\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n primitive,\n});\n\nconst gBufferTexturesBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'unfilterable-float',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'unfilterable-float',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'depth',\n },\n },\n ],\n});\n\nconst lightsBufferBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n buffer: {\n type: 'read-only-storage',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT | GPUShaderStage.COMPUTE,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n },\n },\n ],\n});\n\nconst gBuffersDebugViewPipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [gBufferTexturesBindGroupLayout],\n }),\n vertex: {\n module: device.createShaderModule({\n code: vertexTextureQuad,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentGBuffersDebugView,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n constants: {\n canvasSizeWidth: canvas.width,\n canvasSizeHeight: canvas.height,\n },\n },\n primitive,\n});\n\nconst deferredRenderPipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [\n gBufferTexturesBindGroupLayout,\n lightsBufferBindGroupLayout,\n ],\n }),\n vertex: {\n module: device.createShaderModule({\n code: vertexTextureQuad,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentDeferredRendering,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive,\n});\n\nconst writeGBufferPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: gBufferTextureViews[0],\n\n clearValue: [0.0, 0.0, 1.0, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n {\n view: gBufferTextureViews[1],\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst textureQuadPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n};\n\nconst settings = {\n mode: 'rendering',\n numLights: 128,\n};\nconst configUniformBuffer = (() => {\n const buffer = device.createBuffer({\n size: Uint32Array.BYTES_PER_ELEMENT,\n mappedAtCreation: true,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n new Uint32Array(buffer.getMappedRange())[0] = settings.numLights;\n buffer.unmap();\n return buffer;\n})();\n\nconst gui = new GUI();\ngui.add(settings, 'mode', ['rendering', 'gBuffers view']);\ngui\n .add(settings, 'numLights', 1, kMaxNumLights)\n .step(1)\n .onChange(() => {\n device.queue.writeBuffer(\n configUniformBuffer,\n 0,\n new Uint32Array([settings.numLights])\n );\n });\n\nconst modelUniformBuffer = device.createBuffer({\n size: 4 * 16 * 2, // two 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst cameraUniformBuffer = device.createBuffer({\n size: 4 * 16 * 2, // two 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst sceneUniformBindGroup = device.createBindGroup({\n layout: writeGBuffersPipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: modelUniformBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: cameraUniformBuffer,\n },\n },\n ],\n});\n\nconst gBufferTexturesBindGroup = device.createBindGroup({\n layout: gBufferTexturesBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: gBufferTextureViews[0],\n },\n {\n binding: 1,\n resource: gBufferTextureViews[1],\n },\n {\n binding: 2,\n resource: gBufferTextureViews[2],\n },\n ],\n});\n\n// Lights data are uploaded in a storage buffer\n// which could be updated/culled/etc. with a compute shader\nconst extent = vec3.sub(lightExtentMax, lightExtentMin);\nconst lightDataStride = 8;\nconst bufferSizeInByte =\n Float32Array.BYTES_PER_ELEMENT * lightDataStride * kMaxNumLights;\nconst lightsBuffer = device.createBuffer({\n size: bufferSizeInByte,\n usage: GPUBufferUsage.STORAGE,\n mappedAtCreation: true,\n});\n\n// We randomaly populate lights randomly in a box range\n// And simply move them along y-axis per frame to show they are\n// dynamic lightings\nconst lightData = new Float32Array(lightsBuffer.getMappedRange());\nconst tmpVec4 = vec4.create();\nlet offset = 0;\nfor (let i = 0; i < kMaxNumLights; i++) {\n offset = lightDataStride * i;\n // position\n for (let i = 0; i < 3; i++) {\n tmpVec4[i] = Math.random() * extent[i] + lightExtentMin[i];\n }\n tmpVec4[3] = 1;\n lightData.set(tmpVec4, offset);\n // color\n tmpVec4[0] = Math.random() * 2;\n tmpVec4[1] = Math.random() * 2;\n tmpVec4[2] = Math.random() * 2;\n // radius\n tmpVec4[3] = 20.0;\n lightData.set(tmpVec4, offset + 4);\n}\nlightsBuffer.unmap();\n\nconst lightExtentBuffer = device.createBuffer({\n size: 4 * 8,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst lightExtentData = new Float32Array(8);\nlightExtentData.set(lightExtentMin, 0);\nlightExtentData.set(lightExtentMax, 4);\ndevice.queue.writeBuffer(\n lightExtentBuffer,\n 0,\n lightExtentData.buffer,\n lightExtentData.byteOffset,\n lightExtentData.byteLength\n);\n\nconst lightUpdateComputePipeline = device.createComputePipeline({\n layout: 'auto',\n compute: {\n module: device.createShaderModule({\n code: lightUpdate,\n }),\n },\n});\nconst lightsBufferBindGroup = device.createBindGroup({\n layout: lightsBufferBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: lightsBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: configUniformBuffer,\n },\n },\n {\n binding: 2,\n resource: {\n buffer: cameraUniformBuffer,\n },\n },\n ],\n});\nconst lightsBufferComputeBindGroup = device.createBindGroup({\n layout: lightUpdateComputePipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: lightsBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: configUniformBuffer,\n },\n },\n {\n binding: 2,\n resource: {\n buffer: lightExtentBuffer,\n },\n },\n ],\n});\n//--------------------\n\n// Scene matrices\nconst eyePosition = vec3.fromValues(0, 50, -100);\nconst upVector = vec3.fromValues(0, 1, 0);\nconst origin = vec3.fromValues(0, 0, 0);\n\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0);\n\n// Move the model so it's centered.\nconst modelMatrix = mat4.translation([0, -45, 0]);\ndevice.queue.writeBuffer(modelUniformBuffer, 0, modelMatrix);\nconst invertTransposeModelMatrix = mat4.invert(modelMatrix);\nmat4.transpose(invertTransposeModelMatrix, invertTransposeModelMatrix);\nconst normalModelData = invertTransposeModelMatrix;\ndevice.queue.writeBuffer(\n modelUniformBuffer,\n 64,\n normalModelData.buffer,\n normalModelData.byteOffset,\n normalModelData.byteLength\n);\n\n// Rotates the camera around the origin based on time.\nfunction getCameraViewProjMatrix() {\n const rad = Math.PI * (Date.now() / 5000);\n const rotation = mat4.rotateY(mat4.translation(origin), rad);\n const rotatedEyePosition = vec3.transformMat4(eyePosition, rotation);\n\n const viewMatrix = mat4.lookAt(rotatedEyePosition, origin, upVector);\n\n return mat4.multiply(projectionMatrix, viewMatrix);\n}\n\nfunction frame() {\n const cameraViewProj = getCameraViewProjMatrix();\n device.queue.writeBuffer(\n cameraUniformBuffer,\n 0,\n cameraViewProj.buffer,\n cameraViewProj.byteOffset,\n cameraViewProj.byteLength\n );\n const cameraInvViewProj = mat4.invert(cameraViewProj);\n device.queue.writeBuffer(\n cameraUniformBuffer,\n 64,\n cameraInvViewProj.buffer,\n cameraInvViewProj.byteOffset,\n cameraInvViewProj.byteLength\n );\n\n const commandEncoder = device.createCommandEncoder();\n {\n // Write position, normal, albedo etc. data to gBuffers\n const gBufferPass = commandEncoder.beginRenderPass(\n writeGBufferPassDescriptor\n );\n gBufferPass.setPipeline(writeGBuffersPipeline);\n gBufferPass.setBindGroup(0, sceneUniformBindGroup);\n gBufferPass.setVertexBuffer(0, vertexBuffer);\n gBufferPass.setIndexBuffer(indexBuffer, 'uint16');\n gBufferPass.drawIndexed(indexCount);\n gBufferPass.end();\n }\n {\n // Update lights position\n const lightPass = commandEncoder.beginComputePass();\n lightPass.setPipeline(lightUpdateComputePipeline);\n lightPass.setBindGroup(0, lightsBufferComputeBindGroup);\n lightPass.dispatchWorkgroups(Math.ceil(kMaxNumLights / 64));\n lightPass.end();\n }\n {\n if (settings.mode === 'gBuffers view') {\n // GBuffers debug view\n // Left: depth\n // Middle: normal\n // Right: albedo (use uv to mimic a checkerboard texture)\n textureQuadPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n const debugViewPass = commandEncoder.beginRenderPass(\n textureQuadPassDescriptor\n );\n debugViewPass.setPipeline(gBuffersDebugViewPipeline);\n debugViewPass.setBindGroup(0, gBufferTexturesBindGroup);\n debugViewPass.draw(6);\n debugViewPass.end();\n } else {\n // Deferred rendering\n textureQuadPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n const deferredRenderingPass = commandEncoder.beginRenderPass(\n textureQuadPassDescriptor\n );\n deferredRenderingPass.setPipeline(deferredRenderPipeline);\n deferredRenderingPass.setBindGroup(0, gBufferTexturesBindGroup);\n deferredRenderingPass.setBindGroup(1, lightsBufferBindGroup);\n deferredRenderingPass.draw(6);\n deferredRenderingPass.end();\n }\n }\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/deferredRendering/main.ts b/sample/deferredRendering/main.ts index 473cbe1a..e5d95621 100644 --- a/sample/deferredRendering/main.ts +++ b/sample/deferredRendering/main.ts @@ -476,18 +476,10 @@ const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0); // Move the model so it's centered. const modelMatrix = mat4.translation([0, -45, 0]); - -const modelData = modelMatrix as Float32Array; -device.queue.writeBuffer( - modelUniformBuffer, - 0, - modelData.buffer, - modelData.byteOffset, - modelData.byteLength -); +device.queue.writeBuffer(modelUniformBuffer, 0, modelMatrix); const invertTransposeModelMatrix = mat4.invert(modelMatrix); mat4.transpose(invertTransposeModelMatrix, invertTransposeModelMatrix); -const normalModelData = invertTransposeModelMatrix as Float32Array; +const normalModelData = invertTransposeModelMatrix; device.queue.writeBuffer( modelUniformBuffer, 64, @@ -504,7 +496,7 @@ function getCameraViewProjMatrix() { const viewMatrix = mat4.lookAt(rotatedEyePosition, origin, upVector); - return mat4.multiply(projectionMatrix, viewMatrix) as Float32Array; + return mat4.multiply(projectionMatrix, viewMatrix); } function frame() { @@ -516,7 +508,7 @@ function frame() { cameraViewProj.byteOffset, cameraViewProj.byteLength ); - const cameraInvViewProj = mat4.invert(cameraViewProj) as Float32Array; + const cameraInvViewProj = mat4.invert(cameraViewProj); device.queue.writeBuffer( cameraUniformBuffer, 64, diff --git a/sample/fractalCube/main.js b/sample/fractalCube/main.js index 6003a2c1..8bd6ce12 100644 --- a/sample/fractalCube/main.js +++ b/sample/fractalCube/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,1412 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; +} +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +1483,4008 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; } - return copy$3(a, dst); + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * Vec4 math functions. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. - * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); const cubeVertexSize = 4 * 10; // Byte size of one cube vertex. const cubePositionOffset = 0; @@ -2742,14 +5702,14 @@ const renderPassDescriptor = { }, }; const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); -const modelViewProjectionMatrix = mat4Impl.create(); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); +const modelViewProjectionMatrix = mat4.create(); function getTransformationMatrix() { - const viewMatrix = mat4Impl.identity(); - mat4Impl.translate(viewMatrix, vec3Impl.fromValues(0, 0, -4), viewMatrix); + const viewMatrix = mat4.identity(); + mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix); const now = Date.now() / 1000; - mat4Impl.rotate(viewMatrix, vec3Impl.fromValues(Math.sin(now), Math.cos(now), 0), 1, viewMatrix); - mat4Impl.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); + mat4.rotate(viewMatrix, vec3.fromValues(Math.sin(now), Math.cos(now), 0), 1, viewMatrix); + mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); return modelViewProjectionMatrix; } function frame() { diff --git a/sample/fractalCube/main.js.map b/sample/fractalCube/main.js.map index 62cd5ae3..f2988cee 100644 --- a/sample/fractalCube/main.js.map +++ b/sample/fractalCube/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/fractalCube/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport sampleSelfWGSL from './sampleSelf.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n\n // Specify we want both RENDER_ATTACHMENT and COPY_SRC since we\n // will copy out of the swapchain texture.\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.COPY_SRC,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: sampleSelfWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// We will copy the frame's rendering results into this texture and\n// sample it on the next frame.\nconst cubeTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: presentationFormat,\n usage: GPUTextureUsage.TEXTURE_BINDING | GPUTextureUsage.COPY_DST,\n});\n\n// Create a sampler with linear filtering for smooth interpolation.\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: cubeTexture.createView(),\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nfunction getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n viewMatrix\n );\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix as Float32Array;\n}\n\nfunction frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n\n const swapChainTexture = context.getCurrentTexture();\n // prettier-ignore\n renderPassDescriptor.colorAttachments[0].view = swapChainTexture.createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/fractalCube/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport sampleSelfWGSL from './sampleSelf.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n\n // Specify we want both RENDER_ATTACHMENT and COPY_SRC since we\n // will copy out of the swapchain texture.\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.COPY_SRC,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: sampleSelfWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// We will copy the frame's rendering results into this texture and\n// sample it on the next frame.\nconst cubeTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: presentationFormat,\n usage: GPUTextureUsage.TEXTURE_BINDING | GPUTextureUsage.COPY_DST,\n});\n\n// Create a sampler with linear filtering for smooth interpolation.\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: cubeTexture.createView(),\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nfunction getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n viewMatrix\n );\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix;\n}\n\nfunction frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n\n const swapChainTexture = context.getCurrentTexture();\n // prettier-ignore\n renderPassDescriptor.colorAttachments[0].view = swapChainTexture.createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.draw(cubeVertexCount);\n passEncoder.end();\n\n // Copy the rendering results from the swapchain into |cubeTexture|.\n commandEncoder.copyTextureToTexture(\n {\n texture: swapChainTexture,\n },\n {\n texture: cubeTexture,\n },\n [canvas.width, canvas.height]\n );\n\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/fractalCube/main.ts b/sample/fractalCube/main.ts index 37ab8d61..35c4fa66 100644 --- a/sample/fractalCube/main.ts +++ b/sample/fractalCube/main.ts @@ -177,7 +177,7 @@ function getTransformationMatrix() { mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); - return modelViewProjectionMatrix as Float32Array; + return modelViewProjectionMatrix; } function frame() { diff --git a/sample/instancedCube/main.js b/sample/instancedCube/main.js index ec11e2be..ec7de819 100644 --- a/sample/instancedCube/main.js +++ b/sample/instancedCube/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,1412 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; +} +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +1483,4008 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; } - return copy$3(a, dst); + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * Vec4 math functions. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. - * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); const cubeVertexSize = 4 * 10; // Byte size of one cube vertex. const cubePositionOffset = 0; @@ -2707,7 +5667,7 @@ const uniformBindGroup = device.createBindGroup({ ], }); const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); const modelMatrices = new Array(numInstances); const mvpMatricesData = new Float32Array(matrixFloatCount * numInstances); const step = 4.0; @@ -2715,21 +5675,21 @@ const step = 4.0; let m = 0; for (let x = 0; x < xCount; x++) { for (let y = 0; y < yCount; y++) { - modelMatrices[m] = mat4Impl.translation(vec3Impl.fromValues(step * (x - xCount / 2 + 0.5), step * (y - yCount / 2 + 0.5), 0)); + modelMatrices[m] = mat4.translation(vec3.fromValues(step * (x - xCount / 2 + 0.5), step * (y - yCount / 2 + 0.5), 0)); m++; } } -const viewMatrix = mat4Impl.translation(vec3Impl.fromValues(0, 0, -12)); -const tmpMat4 = mat4Impl.create(); +const viewMatrix = mat4.translation(vec3.fromValues(0, 0, -12)); +const tmpMat4 = mat4.create(); // Update the transformation matrix data for each instance. function updateTransformationMatrix() { const now = Date.now() / 1000; let m = 0, i = 0; for (let x = 0; x < xCount; x++) { for (let y = 0; y < yCount; y++) { - mat4Impl.rotate(modelMatrices[i], vec3Impl.fromValues(Math.sin((x + 0.5) * now), Math.cos((y + 0.5) * now), 0), 1, tmpMat4); - mat4Impl.multiply(viewMatrix, tmpMat4, tmpMat4); - mat4Impl.multiply(projectionMatrix, tmpMat4, tmpMat4); + mat4.rotate(modelMatrices[i], vec3.fromValues(Math.sin((x + 0.5) * now), Math.cos((y + 0.5) * now), 0), 1, tmpMat4); + mat4.multiply(viewMatrix, tmpMat4, tmpMat4); + mat4.multiply(projectionMatrix, tmpMat4, tmpMat4); mvpMatricesData.set(tmpMat4, m); i++; m += matrixFloatCount; diff --git a/sample/instancedCube/main.js.map b/sample/instancedCube/main.js.map index 672a3557..2b1b8ce2 100644 --- a/sample/instancedCube/main.js.map +++ b/sample/instancedCube/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/instancedCube/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport instancedVertWGSL from './instanced.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: instancedVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst xCount = 4;\nconst yCount = 4;\nconst numInstances = xCount * yCount;\nconst matrixFloatCount = 16; // 4x4 matrix\nconst matrixSize = 4 * matrixFloatCount;\nconst uniformBufferSize = numInstances * matrixSize;\n\n// Allocate a buffer large enough to hold transforms for every\n// instance.\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\n\ntype Mat4 = mat4.default;\nconst modelMatrices = new Array(numInstances);\nconst mvpMatricesData = new Float32Array(matrixFloatCount * numInstances);\n\nconst step = 4.0;\n\n// Initialize the matrix data for every instance.\nlet m = 0;\nfor (let x = 0; x < xCount; x++) {\n for (let y = 0; y < yCount; y++) {\n modelMatrices[m] = mat4.translation(\n vec3.fromValues(\n step * (x - xCount / 2 + 0.5),\n step * (y - yCount / 2 + 0.5),\n 0\n )\n );\n m++;\n }\n}\n\nconst viewMatrix = mat4.translation(vec3.fromValues(0, 0, -12));\n\nconst tmpMat4 = mat4.create();\n\n// Update the transformation matrix data for each instance.\nfunction updateTransformationMatrix() {\n const now = Date.now() / 1000;\n\n let m = 0,\n i = 0;\n for (let x = 0; x < xCount; x++) {\n for (let y = 0; y < yCount; y++) {\n mat4.rotate(\n modelMatrices[i],\n vec3.fromValues(\n Math.sin((x + 0.5) * now),\n Math.cos((y + 0.5) * now),\n 0\n ),\n 1,\n tmpMat4\n );\n\n mat4.multiply(viewMatrix, tmpMat4, tmpMat4);\n mat4.multiply(projectionMatrix, tmpMat4, tmpMat4);\n\n mvpMatricesData.set(tmpMat4, m);\n\n i++;\n m += matrixFloatCount;\n }\n }\n}\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nfunction frame() {\n // Update the matrix data.\n updateTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n mvpMatricesData.buffer,\n mvpMatricesData.byteOffset,\n mvpMatricesData.byteLength\n );\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.draw(cubeVertexCount, numInstances, 0, 0);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/instancedCube/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, Mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport instancedVertWGSL from './instanced.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: instancedVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst xCount = 4;\nconst yCount = 4;\nconst numInstances = xCount * yCount;\nconst matrixFloatCount = 16; // 4x4 matrix\nconst matrixSize = 4 * matrixFloatCount;\nconst uniformBufferSize = numInstances * matrixSize;\n\n// Allocate a buffer large enough to hold transforms for every\n// instance.\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\n\nconst modelMatrices = new Array(numInstances);\nconst mvpMatricesData = new Float32Array(matrixFloatCount * numInstances);\n\nconst step = 4.0;\n\n// Initialize the matrix data for every instance.\nlet m = 0;\nfor (let x = 0; x < xCount; x++) {\n for (let y = 0; y < yCount; y++) {\n modelMatrices[m] = mat4.translation(\n vec3.fromValues(\n step * (x - xCount / 2 + 0.5),\n step * (y - yCount / 2 + 0.5),\n 0\n )\n );\n m++;\n }\n}\n\nconst viewMatrix = mat4.translation(vec3.fromValues(0, 0, -12));\n\nconst tmpMat4 = mat4.create();\n\n// Update the transformation matrix data for each instance.\nfunction updateTransformationMatrix() {\n const now = Date.now() / 1000;\n\n let m = 0,\n i = 0;\n for (let x = 0; x < xCount; x++) {\n for (let y = 0; y < yCount; y++) {\n mat4.rotate(\n modelMatrices[i],\n vec3.fromValues(\n Math.sin((x + 0.5) * now),\n Math.cos((y + 0.5) * now),\n 0\n ),\n 1,\n tmpMat4\n );\n\n mat4.multiply(viewMatrix, tmpMat4, tmpMat4);\n mat4.multiply(projectionMatrix, tmpMat4, tmpMat4);\n\n mvpMatricesData.set(tmpMat4, m);\n\n i++;\n m += matrixFloatCount;\n }\n }\n}\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nfunction frame() {\n // Update the matrix data.\n updateTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n mvpMatricesData.buffer,\n mvpMatricesData.byteOffset,\n mvpMatricesData.byteLength\n );\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.draw(cubeVertexCount, numInstances, 0, 0);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/instancedCube/main.ts b/sample/instancedCube/main.ts index 4bfa062e..87265398 100644 --- a/sample/instancedCube/main.ts +++ b/sample/instancedCube/main.ts @@ -1,4 +1,4 @@ -import { mat4, vec3 } from 'wgpu-matrix'; +import { mat4, Mat4, vec3 } from 'wgpu-matrix'; import { cubeVertexArray, @@ -126,7 +126,6 @@ const uniformBindGroup = device.createBindGroup({ const aspect = canvas.width / canvas.height; const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); -type Mat4 = mat4.default; const modelMatrices = new Array(numInstances); const mvpMatricesData = new Float32Array(matrixFloatCount * numInstances); diff --git a/sample/multipleCanvases/main.js b/sample/multipleCanvases/main.js index a2ee20fb..ced0b940 100644 --- a/sample/multipleCanvases/main.js +++ b/sample/multipleCanvases/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,64 +54,672 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec2 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new Vec2. In other words you can do this - * - * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2. - * - * or - * - * const v = vec2.create(); - * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$2 = Float32Array; -/** - * Creates a Vec2; may be called with x, y, z to set initial values. - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Vec2's specified type - * it would be faster to use - * - * ``` - * const v = vec2.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Vec2Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `vec2.create` is usually used - * to create a Vec2 to be filled out as in - * - * ``` - * const sum = vec2.create(); - * vec2.add(v1, v2, sum); - * ``` - * - * @param x - Initial x value. - * @param y - Initial y value. - * @returns the created vector - */ -function create$5(x = 0, y = 0) { - const dst = new VecType$2(2); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); } - return dst; + return api; } /* @@ -126,57 +744,721 @@ function create$5(x = 0, y = 0) { * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; +} +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); } - return dst; + return api; } /* @@ -201,107 +1483,967 @@ function create$4(x, y, z) { * DEALINGS IN THE SOFTWARE. */ /** - * 3x3 Matrix math math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this - * - * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix - * - * or - * - * const mat = mat3.create(); - * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat. - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always save to pass any matrix as the destination. So for example - * - * const mat = mat3.identity(); - * const trans = mat3.translation([1, 2, 3]); - * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. - * - */ -let MatType$1 = Float32Array; -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -let newMat3 = ctorMap.get(Float32Array); -/** - * Sets the type this library creates for a Mat3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat3 - */ -function setDefaultType$4(ctor) { - const oldType = MatType$1; - MatType$1 = ctor; - newMat3 = ctorMap.get(ctor); - return oldType; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; +} +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Create a Mat3 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat3's specified type - * it would be faster to use - * - * ``` - * const m = mat3.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Mat3Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat3.create` is usually used - * to create a Mat3 to be filled out as in - * - * ``` - * const m = mat3.create(); - * mat3.perspective(fov, aspect, near, far, m); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @returns matrix created from values. - */ -function create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) { - const dst = newMat3(); - // to make the array homogenous - dst[3] = 0; - dst[7] = 0; - dst[11] = 0; - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[4] = v3; - if (v4 !== undefined) { - dst[5] = v4; - if (v5 !== undefined) { - dst[6] = v5; - if (v6 !== undefined) { - dst[8] = v6; - if (v7 !== undefined) { - dst[9] = v7; - if (v8 !== undefined) { - dst[10] = v8; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } } } } @@ -310,659 +2452,1542 @@ function create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) { } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat3 - * Also see {@link mat3.create} and {@link mat3.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat3 set from values. - */ -function set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { - dst = dst || newMat3(); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = 0; - dst[4] = v3; - dst[5] = v4; - dst[6] = v5; - dst[7] = 0; - dst[8] = v6; - dst[9] = v7; - dst[10] = v8; - dst[11] = 0; - return dst; -} -/** - * Creates a Mat3 from the upper left 3x3 part of a Mat4 - * @param m4 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat3 made from m4 - */ -function fromMat4(m4, dst) { - dst = dst || newMat3(); - dst[0] = m4[0]; - dst[1] = m4[1]; - dst[2] = m4[2]; - dst[3] = 0; - dst[4] = m4[4]; - dst[5] = m4[5]; - dst[6] = m4[6]; - dst[7] = 0; - dst[8] = m4[8]; - dst[9] = m4[9]; - dst[10] = m4[10]; - dst[11] = 0; - return dst; -} -/** - * Creates a Mat3 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat3 made from q - */ -function fromQuat$1(q, dst) { - dst = dst || newMat3(); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$3(m, dst) { - dst = dst || newMat3(); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat3.clone}) - * Also see {@link mat3.create} and {@link mat3.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$4(m, dst) { - dst = dst || newMat3(); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - return dst; -} -/** - * Copies a matrix (same as {@link mat3.copy}) - * Also see {@link mat3.create} and {@link mat3.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$4 = copy$4; -/** - * Check if 2 matrices are approximately equal - * @param a Operand matrix. - * @param b Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$4(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a Operand matrix. - * @param b Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$4(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10]; -} -/** - * Creates a 3-by-3 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 3-by-3 identity matrix. - */ -function identity$2(dst) { - dst = dst || newMat3(); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose$1(m, dst) { - dst = dst || newMat3(); - if (dst === m) { - let t; - // 0 1 2 - // 4 5 6 - // 8 9 10 - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - return dst; -} -/** - * Computes the inverse of a 3-by-3 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$4(m, dst) { - dst = dst || newMat3(); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const b01 = m22 * m11 - m12 * m21; - const b11 = -m22 * m10 + m12 * m20; - const b21 = m21 * m10 - m11 * m20; - const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); - dst[0] = b01 * invDet; - dst[1] = (-m22 * m01 + m02 * m21) * invDet; - dst[2] = (m12 * m01 - m02 * m11) * invDet; - dst[4] = b11 * invDet; - dst[5] = (m22 * m00 - m02 * m20) * invDet; - dst[6] = (-m12 * m00 + m02 * m10) * invDet; - dst[8] = b21 * invDet; - dst[9] = (-m21 * m00 + m01 * m20) * invDet; - dst[10] = (m11 * m00 - m01 * m10) * invDet; - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant$1(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - return m00 * (m11 * m22 - m21 * m12) - - m10 * (m01 * m22 - m21 * m02) + - m20 * (m01 * m12 - m11 * m02); -} -/** - * Computes the inverse of a 3-by-3 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$3 = inverse$4; -/** - * Multiplies two 3-by-3 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$4(a, b, dst) { - dst = dst || newMat3(); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22; - return dst; -} -/** - * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$4 = multiply$4; -/** - * Sets the translation component of a 3-by-3 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation$1(a, v, dst) { - dst = dst || identity$2(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - } - dst[8] = v[0]; - dst[9] = v[1]; - dst[10] = 1; - return dst; -} -/** - * Returns the translation component of a 3-by-3 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$2(m, dst) { - dst = dst || create$5(); - dst[0] = m[8]; - dst[1] = m[9]; - return dst; -} -/** - * Returns an axis of a 3x3 matrix as a vector with 2 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, - * @returns The axis component of m. - */ -function getAxis$2(m, axis, dst) { - dst = dst || create$5(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - return dst; -} -/** - * Sets an axis of a 3x3 matrix as a vector with 2 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis$1(m, v, axis, dst) { - if (dst !== m) { - dst = copy$4(m, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$2(m, dst) { - dst = dst || create$5(); - const xx = m[0]; - const xy = m[1]; - const yx = m[4]; - const yy = m[5]; - dst[0] = Math.sqrt(xx * xx + xy * xy); - dst[1] = Math.sqrt(yx * yx + yy * yy); - return dst; -} -/** - * Creates a 3-by-3 matrix which translates by the given vector v. - * @param v - The vector by which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation$1(v, dst) { - dst = dst || newMat3(); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[8] = v[0]; - dst[9] = v[1]; - dst[10] = 1; - return dst; -} -/** - * Translates the given 3-by-3 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate$1(m, v, dst) { - dst = dst || newMat3(); - const v0 = v[0]; - const v1 = v[1]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - } - dst[8] = m00 * v0 + m10 * v1 + m20; - dst[9] = m01 * v0 + m11 * v1 + m21; - dst[10] = m02 * v0 + m12 * v1 + m22; - return dst; -} -/** - * Creates a 3-by-3 matrix which rotates by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotation$1(angleInRadians, dst) { - dst = dst || newMat3(); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - return dst; -} -/** - * Rotates the given 3-by-3 matrix by the given angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotate$1(m, angleInRadians, dst) { - dst = dst || newMat3(); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - } - return dst; -} -/** - * Creates a 3-by-3 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * 2 entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling$1(v, dst) { - dst = dst || newMat3(); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - return dst; -} -/** - * Scales the given 3-by-3 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of 2 entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$4(m, v, dst) { - dst = dst || newMat3(); - const v0 = v[0]; - const v1 = v[1]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - } - return dst; -} -/** - * Creates a 3-by-3 matrix which scales uniformly in each dimension - * @param s - Amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling$1(s, dst) { - dst = dst || newMat3(); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - return dst; + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Scales the given 3-by-3 matrix in each dimension by an amount - * given. - * @param m - The matrix to be modified. - * @param s - Amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function uniformScale$1(m, s, dst) { - dst = dst || newMat3(); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - } - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -var mat3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - clone: clone$4, - copy: copy$4, - create: create$3, - determinant: determinant$1, - equals: equals$4, - equalsApproximately: equalsApproximately$4, - fromMat4: fromMat4, - fromQuat: fromQuat$1, - getAxis: getAxis$2, - getScaling: getScaling$2, - getTranslation: getTranslation$2, - identity: identity$2, - inverse: inverse$4, - invert: invert$3, - mul: mul$4, - multiply: multiply$4, - negate: negate$3, - rotate: rotate$1, - rotation: rotation$1, - scale: scale$4, - scaling: scaling$1, - set: set$4, - setAxis: setAxis$1, - setDefaultType: setDefaultType$4, - setTranslation: setTranslation$1, - translate: translate$1, - translation: translation$1, - transpose: transpose$1, - uniformScale: uniformScale$1, - uniformScaling: uniformScaling$1 -}); - /* * Copyright 2022 Gregg Tavares * @@ -985,2403 +4010,1481 @@ var mat3Impl = /*#__PURE__*/Object.freeze({ * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the y-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length - * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector - */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} -/** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } } - return copy$3(a, dst); + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. - * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. + * Vec4 math functions. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); var teapot = {}; @@ -3397,19 +5500,19 @@ function computeSurfaceNormals(positions, triangles) { const p0 = positions[i0]; const p1 = positions[i1]; const p2 = positions[i2]; - const v0 = vec3Impl.subtract(p1, p0); - const v1 = vec3Impl.subtract(p2, p0); - vec3Impl.normalize(v0, v0); - vec3Impl.normalize(v1, v1); - const norm = vec3Impl.cross(v0, v1); + const v0 = vec3.subtract(p1, p0); + const v1 = vec3.subtract(p2, p0); + vec3.normalize(v0, v0); + vec3.normalize(v1, v1); + const norm = vec3.cross(v0, v1); // Accumulate the normals. - vec3Impl.add(normals[i0], norm, normals[i0]); - vec3Impl.add(normals[i1], norm, normals[i1]); - vec3Impl.add(normals[i2], norm, normals[i2]); + vec3.add(normals[i0], norm, normals[i0]); + vec3.add(normals[i1], norm, normals[i1]); + vec3.add(normals[i2], norm, normals[i2]); }); normals.forEach((n) => { // Normalize accumulated normals. - vec3Impl.normalize(n, n); + vec3.normalize(n, n); }); return normals; } @@ -3448,7 +5551,7 @@ function generateNormals(maxAngle, positions, triangles) { const v1 = positions[n1]; const v2 = positions[n2]; const v3 = positions[n3]; - faceNormals.push(vec3Impl.normalize(vec3Impl.cross(vec3Impl.subtract(v2, v1), vec3Impl.subtract(v3, v1)))); + faceNormals.push(vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))); } let tempVerts = {}; let tempVertNdx = 0; @@ -3537,12 +5640,12 @@ function generateNormals(maxAngle, positions, triangles) { faces.forEach((faceNdx) => { // is this face facing the same way const otherFaceNormal = faceNormals[faceNdx]; - const dot = vec3Impl.dot(thisFaceNormal, otherFaceNormal); + const dot = vec3.dot(thisFaceNormal, otherFaceNormal); if (dot > maxAngleCos) { - vec3Impl.add(norm, otherFaceNormal, norm); + vec3.add(norm, otherFaceNormal, norm); } }); - vec3Impl.normalize(norm, norm); + vec3.normalize(norm, norm); newTriangle.push(getNewVertIndex(positions[ndx], norm)); } newTriangles.push(newTriangle); @@ -3627,9 +5730,9 @@ function createSphereMesh(radius, widthSegments = 32, heightSegments = 16, rando const indices = []; widthSegments = Math.max(3, Math.floor(widthSegments)); heightSegments = Math.max(2, Math.floor(heightSegments)); - const firstVertex = vec3Impl.create(); - const vertex = vec3Impl.create(); - const normal = vec3Impl.create(); + const firstVertex = vec3.create(); + const vertex = vec3.create(); + const normal = vec3.create(); let index = 0; const grid = []; // generate vertices, normals and uvs @@ -3648,7 +5751,7 @@ function createSphereMesh(radius, widthSegments = 32, heightSegments = 16, rando const u = ix / widthSegments; // Poles should just use the same position all the way around. if (ix == widthSegments) { - vec3Impl.copy(firstVertex, vertex); + vec3.copy(firstVertex, vertex); } else if (ix == 0 || (iy != 0 && iy !== heightSegments)) { const rr = radius + (Math.random() - 0.5) * 2 * randomness * radius; @@ -3657,13 +5760,13 @@ function createSphereMesh(radius, widthSegments = 32, heightSegments = 16, rando vertex[1] = rr * Math.cos(v * Math.PI); vertex[2] = rr * Math.sin(u * Math.PI * 2) * Math.sin(v * Math.PI); if (ix == 0) { - vec3Impl.copy(vertex, firstVertex); + vec3.copy(vertex, firstVertex); } } vertices.push(...vertex); // normal - vec3Impl.copy(vertex, normal); - vec3Impl.normalize(normal, normal); + vec3.copy(vertex, normal); + vec3.normalize(normal, normal); vertices.push(...normal); // uv vertices.push(u + uOffset, 1 - v); @@ -3740,7 +5843,7 @@ function flattenNormals({ vertices, indices, }) { positions.push(pos); newIndices[i + j] = i + j; } - const normal = vec3Impl.normalize(vec3Impl.cross(vec3Impl.normalize(vec3Impl.subtract(positions[1], positions[0])), vec3Impl.normalize(vec3Impl.subtract(positions[2], positions[1])))); + const normal = vec3.normalize(vec3.cross(vec3.normalize(vec3.subtract(positions[1], positions[0])), vec3.normalize(vec3.subtract(positions[2], positions[1])))); for (let j = 0; j < 3; ++j) { const dstNdx = (i + j) * 6; newVertices.set(normal, dstNdx + 3); @@ -3998,15 +6101,15 @@ function render(time) { depthTexture.createView(); const fov = (60 * Math.PI) / 180; const aspect = canvas.clientWidth / canvas.clientHeight; - const projection = mat4Impl.perspective(fov, aspect, 0.1, 100); - const view = mat4Impl.lookAt([0, 30, 50], // eye + const projection = mat4.perspective(fov, aspect, 0.1, 100); + const view = mat4.lookAt([0, 30, 50], // eye [0, 0, 0], // target [0, 1, 0] // up ); - const viewProjection = mat4Impl.multiply(projection, view); - const world = mat4Impl.rotationY(time * 0.1 + rotation); - mat4Impl.multiply(viewProjection, world, worldViewProjectionMatrixValue); - mat3Impl.fromMat4(world, worldMatrixValue); + const viewProjection = mat4.multiply(projection, view); + const world = mat4.rotationY(time * 0.1 + rotation); + mat4.multiply(viewProjection, world, worldViewProjectionMatrixValue); + mat3.fromMat4(world, worldMatrixValue); // Upload our uniform values. device.queue.writeBuffer(uniformBuffer, 0, uniformValues); // make a render pass encoder to encode render specific commands diff --git a/sample/multipleCanvases/main.js.map b/sample/multipleCanvases/main.js.map index dc8dca66..ee74a331 100644 --- a/sample/multipleCanvases/main.js.map +++ b/sample/multipleCanvases/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/teapot/teapot.js","../../../../../meshes/utils.ts","../../../../../meshes/teapot.ts","../../../../../meshes/stanfordDragonData.ts","../../../../../meshes/stanfordDragon.ts","../../../../../meshes/sphere.ts","../../../../../sample/multipleCanvases/models.ts","../../../../../sample/multipleCanvases/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# 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{ vec3, Vec3 } from 'wgpu-matrix';\n\nexport function computeSurfaceNormals(\n positions: [number, number, number][],\n triangles: [number, number, number][]\n): [number, number, number][] {\n const normals: [number, number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0, 0];\n });\n triangles.forEach(([i0, i1, i2]) => {\n const p0 = positions[i0];\n const p1 = positions[i1];\n const p2 = positions[i2];\n\n const v0 = vec3.subtract(p1, p0);\n const v1 = vec3.subtract(p2, p0);\n\n vec3.normalize(v0, v0);\n vec3.normalize(v1, v1);\n const norm = vec3.cross(v0, v1);\n\n // Accumulate the normals.\n vec3.add(normals[i0], norm, normals[i0]);\n vec3.add(normals[i1], norm, normals[i1]);\n vec3.add(normals[i2], norm, normals[i2]);\n });\n normals.forEach((n) => {\n // Normalize accumulated normals.\n vec3.normalize(n, n);\n });\n\n return normals;\n}\n\nfunction makeTriangleIndicesFn(triangles: [number, number, number][]) {\n let triNdx = 0;\n let vNdx = 0;\n const fn = function () {\n const ndx = triangles[triNdx][vNdx++];\n if (vNdx === 3) {\n vNdx = 0;\n ++triNdx;\n }\n return ndx;\n };\n fn.reset = function () {\n triNdx = 0;\n vNdx = 0;\n };\n fn.numElements = triangles.length * 3;\n return fn;\n}\n\n// adapted from: https://webglfundamentals.org/webgl/lessons/webgl-3d-geometry-lathe.htmls\nexport function generateNormals(\n maxAngle: number,\n positions: [number, number, number][],\n triangles: [number, number, number][]\n) {\n // first compute the normal of each face\n const getNextIndex = makeTriangleIndicesFn(triangles);\n const numFaceVerts = getNextIndex.numElements;\n const numVerts = positions.length;\n const numFaces = numFaceVerts / 3;\n const faceNormals: Vec3[] = [];\n\n // Compute the normal for every face.\n // While doing that, create a new vertex for every face vertex\n for (let i = 0; i < numFaces; ++i) {\n const n1 = getNextIndex();\n const n2 = getNextIndex();\n const n3 = getNextIndex();\n\n const v1 = positions[n1];\n const v2 = positions[n2];\n const v3 = positions[n3];\n\n faceNormals.push(\n vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))\n );\n }\n\n let tempVerts = {};\n let tempVertNdx = 0;\n\n // this assumes vertex positions are an exact match\n\n function getVertIndex(vert: [number, number, number]): number {\n const vertId = JSON.stringify(vert);\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n return newNdx;\n }\n\n // We need to figure out the shared vertices.\n // It's not as simple as looking at the faces (triangles)\n // because for example if we have a standard cylinder\n //\n //\n // 3-4\n // / \\\n // 2 5 Looking down a cylinder starting at S\n // | | and going around to E, E and S are not\n // 1 6 the same vertex in the data we have\n // \\ / as they don't share UV coords.\n // S/E\n //\n // the vertices at the start and end do not share vertices\n // since they have different UVs but if you don't consider\n // them to share vertices they will get the wrong normals\n\n const vertIndices: number[] = [];\n for (let i = 0; i < numVerts; ++i) {\n const vert = positions[i];\n vertIndices.push(getVertIndex(vert));\n }\n\n // go through every vertex and record which faces it's on\n const vertFaces: number[][] = [];\n getNextIndex.reset();\n for (let i = 0; i < numFaces; ++i) {\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n let faces = vertFaces[sharedNdx];\n if (!faces) {\n faces = [];\n vertFaces[sharedNdx] = faces;\n }\n faces.push(i);\n }\n }\n\n // now go through every face and compute the normals for each\n // vertex of the face. Only include faces that aren't more than\n // maxAngle different. Add the result to arrays of newPositions,\n // newTexcoords and newNormals, discarding any vertices that\n // are the same.\n tempVerts = {};\n tempVertNdx = 0;\n const newPositions: [number, number, number][] = [];\n const newNormals: [number, number, number][] = [];\n\n function getNewVertIndex(\n position: [number, number, number],\n normal: [number, number, number]\n ) {\n const vertId = JSON.stringify({ position, normal });\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n newPositions.push(position);\n newNormals.push(normal);\n return newNdx;\n }\n\n const newTriangles: [number, number, number][] = [];\n getNextIndex.reset();\n const maxAngleCos = Math.cos(maxAngle);\n // for each face\n for (let i = 0; i < numFaces; ++i) {\n // get the normal for this face\n const thisFaceNormal = faceNormals[i];\n // for each vertex on the face\n const newTriangle: number[] = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n const faces = vertFaces[sharedNdx];\n const norm = [0, 0, 0] as [number, number, number];\n faces.forEach((faceNdx: number) => {\n // is this face facing the same way\n const otherFaceNormal = faceNormals[faceNdx];\n const dot = vec3.dot(thisFaceNormal, otherFaceNormal);\n if (dot > maxAngleCos) {\n vec3.add(norm, otherFaceNormal, norm);\n }\n });\n vec3.normalize(norm, norm);\n newTriangle.push(getNewVertIndex(positions[ndx], norm));\n }\n newTriangles.push(newTriangle as [number, number, number]);\n }\n\n return {\n positions: newPositions,\n normals: newNormals,\n triangles: newTriangles,\n };\n}\n\ntype ProjectedPlane = 'xy' | 'xz' | 'yz';\n\nconst projectedPlane2Ids: { [key in ProjectedPlane]: [number, number] } = {\n xy: [0, 1],\n xz: [0, 2],\n yz: [1, 2],\n};\n\nexport function computeProjectedPlaneUVs(\n positions: [number, number, number][],\n projectedPlane: ProjectedPlane = 'xy'\n): [number, number][] {\n const idxs = projectedPlane2Ids[projectedPlane];\n const uvs: [number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0];\n });\n const extentMin = [Infinity, Infinity];\n const extentMax = [-Infinity, -Infinity];\n positions.forEach((pos, i) => {\n // Simply project to the selected plane\n uvs[i][0] = pos[idxs[0]];\n uvs[i][1] = pos[idxs[1]];\n\n extentMin[0] = Math.min(pos[idxs[0]], extentMin[0]);\n extentMin[1] = Math.min(pos[idxs[1]], extentMin[1]);\n extentMax[0] = Math.max(pos[idxs[0]], extentMax[0]);\n extentMax[1] = Math.max(pos[idxs[1]], extentMax[1]);\n });\n uvs.forEach((uv) => {\n uv[0] = (uv[0] - extentMin[0]) / (extentMax[0] - extentMin[0]);\n uv[1] = (uv[1] - extentMin[1]) / (extentMax[1] - extentMin[1]);\n });\n return uvs;\n}\n","import teapotData from 'teapot';\nimport { computeSurfaceNormals } from './utils';\n\nexport const mesh = {\n positions: teapotData.positions as [number, number, number][],\n triangles: teapotData.cells as [number, number, number][],\n normals: [] as [number, number, number][],\n};\n\n// Compute surface normals\nmesh.normals = computeSurfaceNormals(mesh.positions, mesh.triangles);\n","// from github.com/hughsk/stanford-dragon\nexport default {\n cells: 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dragonRawData from './stanfordDragonData';\nimport { computeProjectedPlaneUVs, generateNormals } from './utils';\n\nconst { positions, normals, triangles } = generateNormals(\n Math.PI,\n dragonRawData.positions as [number, number, number][],\n dragonRawData.cells as [number, number, number][]\n);\n\nconst uvs = computeProjectedPlaneUVs(positions, 'xy');\n\n// Push indices for an additional ground plane\ntriangles.push(\n [positions.length, positions.length + 2, positions.length + 1],\n [positions.length, positions.length + 1, positions.length + 3]\n);\n\n// Push vertex attributes for an additional ground plane\n// prettier-ignore\npositions.push(\n [-100, 20, -100], //\n [ 100, 20, 100], //\n [-100, 20, 100], //\n [ 100, 20, -100]\n);\nnormals.push(\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0]\n);\nuvs.push(\n [0, 0], //\n [1, 1], //\n [0, 1], //\n [1, 0]\n);\n\nexport const mesh = {\n positions,\n triangles,\n normals,\n uvs,\n};\n","import { vec3 } from 'wgpu-matrix';\n\nexport interface SphereMesh {\n vertices: Float32Array;\n indices: Uint16Array;\n}\n\nexport const SphereLayout = {\n vertexStride: 8 * 4,\n positionsOffset: 0,\n normalOffset: 3 * 4,\n uvOffset: 6 * 4,\n};\n\n// Borrowed and simplified from https://github.com/mrdoob/three.js/blob/master/src/geometries/SphereGeometry.js\nexport function createSphereMesh(\n radius: number,\n widthSegments = 32,\n heightSegments = 16,\n randomness = 0\n): SphereMesh {\n const vertices = [];\n const indices = [];\n\n widthSegments = Math.max(3, Math.floor(widthSegments));\n heightSegments = Math.max(2, Math.floor(heightSegments));\n\n const firstVertex = vec3.create();\n const vertex = vec3.create();\n const normal = vec3.create();\n\n let index = 0;\n const grid = [];\n\n // generate vertices, normals and uvs\n for (let iy = 0; iy <= heightSegments; iy++) {\n const verticesRow = [];\n const v = iy / heightSegments;\n\n // special case for the poles\n let uOffset = 0;\n if (iy === 0) {\n uOffset = 0.5 / widthSegments;\n } else if (iy === heightSegments) {\n uOffset = -0.5 / widthSegments;\n }\n\n for (let ix = 0; ix <= widthSegments; ix++) {\n const u = ix / widthSegments;\n\n // Poles should just use the same position all the way around.\n if (ix == widthSegments) {\n vec3.copy(firstVertex, vertex);\n } else if (ix == 0 || (iy != 0 && iy !== heightSegments)) {\n const rr = radius + (Math.random() - 0.5) * 2 * randomness * radius;\n\n // vertex\n vertex[0] = -rr * Math.cos(u * Math.PI * 2) * Math.sin(v * Math.PI);\n vertex[1] = rr * Math.cos(v * Math.PI);\n vertex[2] = rr * Math.sin(u * Math.PI * 2) * Math.sin(v * Math.PI);\n\n if (ix == 0) {\n vec3.copy(vertex, firstVertex);\n }\n }\n\n vertices.push(...vertex);\n\n // normal\n vec3.copy(vertex, normal);\n vec3.normalize(normal, normal);\n vertices.push(...normal);\n\n // uv\n vertices.push(u + uOffset, 1 - v);\n verticesRow.push(index++);\n }\n\n grid.push(verticesRow);\n }\n\n // indices\n for (let iy = 0; iy < heightSegments; iy++) {\n for (let ix = 0; ix < widthSegments; ix++) {\n const a = grid[iy][ix + 1];\n const b = grid[iy][ix];\n const c = grid[iy + 1][ix];\n const d = grid[iy + 1][ix + 1];\n\n if (iy !== 0) indices.push(a, b, d);\n if (iy !== heightSegments - 1) indices.push(b, c, d);\n }\n }\n\n return {\n vertices: new Float32Array(vertices),\n indices: new Uint16Array(indices),\n };\n}\n","// Ideally all the models would be the same format\n// and we'd determine that format at build time or before\n// but, we want to reuse the model data in this repo\n// so we'll normalize it here\n\nimport { vec3 } from 'wgpu-matrix';\nimport { mesh as teapot } from '../../meshes/teapot';\nimport { mesh as dragon } from '../../meshes/stanfordDragon';\nimport { createSphereMesh } from '../../meshes/sphere';\n\ntype Mesh = {\n positions: [number, number, number][];\n triangles: [number, number, number][];\n normals: [number, number, number][];\n};\n\nexport function convertMeshToTypedArrays(\n mesh: Mesh,\n scale: number,\n offset = [0, 0, 0]\n) {\n const { positions, normals, triangles } = mesh;\n const scaledPositions = positions.map((p) =>\n p.map((v, i) => v * scale + offset[i % 3])\n );\n const vertices = new Float32Array(scaledPositions.length * 6);\n for (let i = 0; i < scaledPositions.length; ++i) {\n vertices.set(scaledPositions[i], 6 * i);\n vertices.set(normals[i], 6 * i + 3);\n }\n const indices = new Uint32Array(triangles.length * 3);\n for (let i = 0; i < triangles.length; ++i) {\n indices.set(triangles[i], 3 * i);\n }\n\n return {\n vertices,\n indices,\n };\n}\n\nfunction createSphereTypedArrays(\n radius: number,\n widthSegments = 32,\n heightSegments = 16,\n randomness = 0\n) {\n const { vertices: verticesWithUVs, indices } = createSphereMesh(\n radius,\n widthSegments,\n heightSegments,\n randomness\n );\n const numVertices = verticesWithUVs.length / 8;\n const vertices = new Float32Array(numVertices * 6);\n for (let i = 0; i < numVertices; ++i) {\n const srcNdx = i * 8;\n const dstNdx = i * 6;\n vertices.set(verticesWithUVs.subarray(srcNdx, srcNdx + 6), dstNdx);\n }\n return {\n vertices,\n indices: new Uint32Array(indices),\n };\n}\n\nfunction flattenNormals({\n vertices,\n indices,\n}: {\n vertices: Float32Array;\n indices: Uint32Array;\n}) {\n const newVertices = new Float32Array(indices.length * 6);\n const newIndices = new Uint32Array(indices.length);\n for (let i = 0; i < indices.length; i += 3) {\n const positions = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = indices[i + j];\n const srcNdx = ndx * 6;\n const dstNdx = (i + j) * 6;\n // copy position\n const pos = vertices.subarray(srcNdx, srcNdx + 3);\n newVertices.set(pos, dstNdx);\n positions.push(pos);\n newIndices[i + j] = i + j;\n }\n\n const normal = vec3.normalize(\n vec3.cross(\n vec3.normalize(vec3.subtract(positions[1], positions[0])),\n vec3.normalize(vec3.subtract(positions[2], positions[1]))\n )\n );\n\n for (let j = 0; j < 3; ++j) {\n const dstNdx = (i + j) * 6;\n newVertices.set(normal, dstNdx + 3);\n }\n }\n\n return {\n vertices: newVertices,\n indices: newIndices,\n };\n}\n\nexport const modelData = {\n teapot: convertMeshToTypedArrays(teapot, 1.5),\n dragon: convertMeshToTypedArrays(dragon, 0.5, [0, -25, 0]),\n sphere: flattenNormals(createSphereTypedArrays(20)),\n jewel: flattenNormals(createSphereTypedArrays(20, 5, 3)),\n rock: flattenNormals(createSphereTypedArrays(20, 32, 16, 0.1)),\n};\n","/* eslint-disable prettier/prettier */\nimport { mat4, mat3 } from 'wgpu-matrix';\nimport { modelData } from './models';\n\ntype TypedArrayView = Float32Array | Uint32Array;\n\nfunction createBufferWithData(\n device: GPUDevice,\n data: TypedArrayView,\n usage: number\n) {\n const buffer = device.createBuffer({\n size: data.byteLength,\n usage: usage,\n });\n device.queue.writeBuffer(buffer, 0, data);\n return buffer;\n}\n\ntype Model = {\n vertexBuffer: GPUBuffer;\n indexBuffer: GPUBuffer;\n indexFormat: GPUIndexFormat;\n vertexCount: number;\n};\n\nfunction createVertexAndIndexBuffer(\n device: GPUDevice,\n { vertices, indices }: { vertices: Float32Array, indices: Uint32Array },\n): Model {\n const vertexBuffer = createBufferWithData(\n device,\n vertices,\n GPUBufferUsage.VERTEX | GPUBufferUsage.COPY_DST\n );\n const indexBuffer = createBufferWithData(\n device,\n indices,\n GPUBufferUsage.INDEX | GPUBufferUsage.COPY_DST\n );\n return {\n vertexBuffer,\n indexBuffer,\n indexFormat: 'uint32',\n vertexCount: indices.length,\n };\n}\n\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst models = Object.values(modelData).map(data => createVertexAndIndexBuffer(device, data));\n\nfunction rand(min?: number, max?: number) {\n if (min === undefined) {\n max = 1;\n min = 0;\n } else if (max === undefined) {\n max = min;\n min = 0;\n }\n return Math.random() * (max - min) + min;\n}\n\nfunction randInt(min: number, max?: number) {\n return Math.floor(rand(min, max));\n}\n\nfunction randColor() {\n return [rand(), rand(), rand(), 1];\n}\n\n\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\nconst depthFormat = 'depth24plus';\n\nconst module = device.createShaderModule({\n code: `\n struct Uniforms {\n worldViewProjectionMatrix: mat4x4f,\n worldMatrix: mat4x4f,\n color: vec4f,\n };\n\n struct Vertex {\n @location(0) position: vec4f,\n @location(1) normal: vec3f,\n };\n\n struct VSOut {\n @builtin(position) position: vec4f,\n @location(0) normal: vec3f,\n };\n\n @group(0) @binding(0) var uni: Uniforms;\n\n @vertex fn vs(vin: Vertex) -> VSOut {\n var vOut: VSOut;\n vOut.position = uni.worldViewProjectionMatrix * vin.position;\n vOut.normal = (uni.worldMatrix * vec4f(vin.normal, 0)).xyz;\n return vOut;\n }\n\n @fragment fn fs(vin: VSOut) -> @location(0) vec4f {\n let lightDirection = normalize(vec3f(4, 10, 6));\n let light = dot(normalize(vin.normal), lightDirection) * 0.5 + 0.5;\n return vec4f(uni.color.rgb * light, uni.color.a);\n }\n `,\n});\n\nconst pipeline = device.createRenderPipeline({\n label: 'our hardcoded red triangle pipeline',\n layout: 'auto',\n vertex: {\n module,\n buffers: [\n {\n arrayStride: 6 * 4, // position, normal\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: 0,\n format: 'float32x3',\n },\n {\n // normal\n shaderLocation: 1,\n offset: 3 * 4,\n format: 'float32x3',\n },\n ],\n },\n ],\n },\n fragment: {\n module,\n targets: [{ format: presentationFormat }],\n },\n primitive: {\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthFormat,\n },\n});\n\nconst resizeObserver = new ResizeObserver((entries) => {\n for (const entry of entries) {\n const canvas = entry.target as HTMLCanvasElement;\n const width = entry.contentBoxSize[0].inlineSize;\n const height = entry.contentBoxSize[0].blockSize;\n canvas.width = Math.max(\n 1,\n Math.min(width, device.limits.maxTextureDimension2D)\n );\n canvas.height = Math.max(\n 1,\n Math.min(height, device.limits.maxTextureDimension2D)\n );\n }\n});\n\nconst visibleCanvasSet = new Set();\nconst intersectionObserver = new IntersectionObserver((entries) => {\n for (const { target, isIntersecting } of entries) {\n const canvas = target as HTMLCanvasElement;\n if (isIntersecting) {\n visibleCanvasSet.add(canvas);\n } else {\n visibleCanvasSet.delete(canvas);\n }\n }\n});\n\ntype CanvasInfo = {\n context: GPUCanvasContext;\n depthTexture?: GPUTexture;\n clearValue: number[];\n worldViewProjectionMatrixValue: Float32Array;\n worldMatrixValue: Float32Array;\n uniformValues: Float32Array;\n uniformBuffer: GPUBuffer;\n bindGroup: GPUBindGroup;\n rotation: number;\n model: Model;\n};\n\nconst outerElem = document.querySelector('#outer');\nconst canvasToInfoMap = new Map();\nconst numProducts = 200;\nfor (let i = 0; i < numProducts; ++i) {\n // making this\n //
\n // \n //
Product#: ?
\n //
\n const canvas = document.createElement('canvas');\n resizeObserver.observe(canvas);\n intersectionObserver.observe(canvas);\n\n const container = document.createElement('div');\n container.className = `product size${randInt(4)}`;\n\n const description = document.createElement('div');\n description.textContent = `product#: ${i + 1}`;\n\n container.appendChild(canvas);\n container.appendChild(description);\n outerElem.appendChild(container);\n\n // Get a WebGPU context and configure it.\n const context = canvas.getContext('webgpu');\n context.configure({\n device,\n format: presentationFormat,\n });\n\n // Make a uniform buffer and type array views\n // for our uniforms.\n const uniformValues = new Float32Array(16 + 16 + 4);\n const uniformBuffer = device.createBuffer({\n size: uniformValues.byteLength,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n const kWorldViewProjectionMatrixOffset = 0;\n const kWorldMatrixOffset = 16;\n const kColorOffset = 32;\n const worldViewProjectionMatrixValue = uniformValues.subarray(\n kWorldViewProjectionMatrixOffset,\n kWorldViewProjectionMatrixOffset + 16);\n const worldMatrixValue = uniformValues.subarray(\n kWorldMatrixOffset,\n kWorldMatrixOffset + 15\n );\n const colorValue = uniformValues.subarray(kColorOffset, kColorOffset + 4);\n colorValue.set(randColor());\n\n // Make a bind group for this uniform\n const bindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [{ binding: 0, resource: { buffer: uniformBuffer } }],\n });\n\n canvasToInfoMap.set(canvas, {\n context,\n clearValue: randColor(),\n worldViewProjectionMatrixValue,\n worldMatrixValue,\n uniformValues,\n uniformBuffer,\n bindGroup,\n rotation: rand(Math.PI * 2),\n model: models[randInt(models.length)],\n });\n}\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n label: 'our basic canvas renderPass',\n colorAttachments: [\n {\n view: undefined, // <- to be filled out when we render\n clearValue: [0.3, 0.3, 0.3, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: undefined, // <- to be filled out when we render\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nfunction render(time: number) {\n time *= 0.001; // convert to seconds;\n\n // make a command encoder to start encoding commands\n const encoder = device.createCommandEncoder();\n\n visibleCanvasSet.forEach((canvas) => {\n const canvasInfo = canvasToInfoMap.get(canvas);\n const {\n context,\n uniformBuffer,\n uniformValues,\n worldViewProjectionMatrixValue,\n worldMatrixValue,\n bindGroup,\n clearValue,\n rotation,\n model: { vertexBuffer, indexBuffer, indexFormat, vertexCount },\n } = canvasInfo;\n let { depthTexture } = canvasInfo;\n\n // Get the current texture from the canvas context and\n // set it as the texture to render to.\n const canvasTexture = context.getCurrentTexture();\n renderPassDescriptor.colorAttachments[0].view = canvasTexture.createView();\n renderPassDescriptor.colorAttachments[0].clearValue = clearValue;\n\n // If we don't have a depth texture OR if its size is different\n // from the canvasTexture when make a new depth texture\n if (\n !depthTexture ||\n depthTexture.width !== canvasTexture.width ||\n depthTexture.height !== canvasTexture.height\n ) {\n if (depthTexture) {\n depthTexture.destroy();\n }\n depthTexture = device.createTexture({\n size: [canvasTexture.width, canvasTexture.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n });\n canvasInfo.depthTexture = depthTexture;\n }\n renderPassDescriptor.depthStencilAttachment.view =\n depthTexture.createView();\n\n const fov = (60 * Math.PI) / 180;\n const aspect = canvas.clientWidth / canvas.clientHeight;\n const projection = mat4.perspective(fov, aspect, 0.1, 100);\n\n const view = mat4.lookAt(\n [0, 30, 50], // eye\n [0, 0, 0], // target\n [0, 1, 0] // up\n );\n\n const viewProjection = mat4.multiply(projection, view);\n\n const world = mat4.rotationY(time * 0.1 + rotation);\n mat4.multiply(viewProjection, world, worldViewProjectionMatrixValue);\n mat3.fromMat4(world, worldMatrixValue);\n\n // Upload our uniform values.\n device.queue.writeBuffer(uniformBuffer, 0, uniformValues);\n\n // make a render pass encoder to encode render specific commands\n const pass = encoder.beginRenderPass(renderPassDescriptor);\n pass.setPipeline(pipeline);\n pass.setVertexBuffer(0, vertexBuffer);\n pass.setIndexBuffer(indexBuffer, indexFormat);\n pass.setBindGroup(0, bindGroup);\n pass.drawIndexed(vertexCount);\n pass.end();\n });\n\n const commandBuffer = encoder.finish();\n device.queue.submit([commandBuffer]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/teapot/teapot.js","../../../../../meshes/utils.ts","../../../../../meshes/teapot.ts","../../../../../meshes/stanfordDragonData.ts","../../../../../meshes/stanfordDragon.ts","../../../../../meshes/sphere.ts","../../../../../sample/multipleCanvases/models.ts","../../../../../sample/multipleCanvases/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# 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{ vec3, Vec3 } from 'wgpu-matrix';\n\nexport function computeSurfaceNormals(\n positions: [number, number, number][],\n triangles: [number, number, number][]\n): [number, number, number][] {\n const normals: [number, number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0, 0];\n });\n triangles.forEach(([i0, i1, i2]) => {\n const p0 = positions[i0];\n const p1 = positions[i1];\n const p2 = positions[i2];\n\n const v0 = vec3.subtract(p1, p0);\n const v1 = vec3.subtract(p2, p0);\n\n vec3.normalize(v0, v0);\n vec3.normalize(v1, v1);\n const norm = vec3.cross(v0, v1);\n\n // Accumulate the normals.\n vec3.add(normals[i0], norm, normals[i0]);\n vec3.add(normals[i1], norm, normals[i1]);\n vec3.add(normals[i2], norm, normals[i2]);\n });\n normals.forEach((n) => {\n // Normalize accumulated normals.\n vec3.normalize(n, n);\n });\n\n return normals;\n}\n\nfunction makeTriangleIndicesFn(triangles: [number, number, number][]) {\n let triNdx = 0;\n let vNdx = 0;\n const fn = function () {\n const ndx = triangles[triNdx][vNdx++];\n if (vNdx === 3) {\n vNdx = 0;\n ++triNdx;\n }\n return ndx;\n };\n fn.reset = function () {\n triNdx = 0;\n vNdx = 0;\n };\n fn.numElements = triangles.length * 3;\n return fn;\n}\n\n// adapted from: https://webglfundamentals.org/webgl/lessons/webgl-3d-geometry-lathe.htmls\nexport function generateNormals(\n maxAngle: number,\n positions: [number, number, number][],\n triangles: [number, number, number][]\n) {\n // first compute the normal of each face\n const getNextIndex = makeTriangleIndicesFn(triangles);\n const numFaceVerts = getNextIndex.numElements;\n const numVerts = positions.length;\n const numFaces = numFaceVerts / 3;\n const faceNormals: Vec3[] = [];\n\n // Compute the normal for every face.\n // While doing that, create a new vertex for every face vertex\n for (let i = 0; i < numFaces; ++i) {\n const n1 = getNextIndex();\n const n2 = getNextIndex();\n const n3 = getNextIndex();\n\n const v1 = positions[n1];\n const v2 = positions[n2];\n const v3 = positions[n3];\n\n faceNormals.push(\n vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))\n );\n }\n\n let tempVerts = {};\n let tempVertNdx = 0;\n\n // this assumes vertex positions are an exact match\n\n function getVertIndex(vert: [number, number, number]): number {\n const vertId = JSON.stringify(vert);\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n return newNdx;\n }\n\n // We need to figure out the shared vertices.\n // It's not as simple as looking at the faces (triangles)\n // because for example if we have a standard cylinder\n //\n //\n // 3-4\n // / \\\n // 2 5 Looking down a cylinder starting at S\n // | | and going around to E, E and S are not\n // 1 6 the same vertex in the data we have\n // \\ / as they don't share UV coords.\n // S/E\n //\n // the vertices at the start and end do not share vertices\n // since they have different UVs but if you don't consider\n // them to share vertices they will get the wrong normals\n\n const vertIndices: number[] = [];\n for (let i = 0; i < numVerts; ++i) {\n const vert = positions[i];\n vertIndices.push(getVertIndex(vert));\n }\n\n // go through every vertex and record which faces it's on\n const vertFaces: number[][] = [];\n getNextIndex.reset();\n for (let i = 0; i < numFaces; ++i) {\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n let faces = vertFaces[sharedNdx];\n if (!faces) {\n faces = [];\n vertFaces[sharedNdx] = faces;\n }\n faces.push(i);\n }\n }\n\n // now go through every face and compute the normals for each\n // vertex of the face. Only include faces that aren't more than\n // maxAngle different. Add the result to arrays of newPositions,\n // newTexcoords and newNormals, discarding any vertices that\n // are the same.\n tempVerts = {};\n tempVertNdx = 0;\n const newPositions: [number, number, number][] = [];\n const newNormals: [number, number, number][] = [];\n\n function getNewVertIndex(\n position: [number, number, number],\n normal: [number, number, number]\n ) {\n const vertId = JSON.stringify({ position, normal });\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n newPositions.push(position);\n newNormals.push(normal);\n return newNdx;\n }\n\n const newTriangles: [number, number, number][] = [];\n getNextIndex.reset();\n const maxAngleCos = Math.cos(maxAngle);\n // for each face\n for (let i = 0; i < numFaces; ++i) {\n // get the normal for this face\n const thisFaceNormal = faceNormals[i];\n // for each vertex on the face\n const newTriangle: number[] = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n const faces = vertFaces[sharedNdx];\n const norm = [0, 0, 0] as [number, number, number];\n faces.forEach((faceNdx: number) => {\n // is this face facing the same way\n const otherFaceNormal = faceNormals[faceNdx];\n const dot = vec3.dot(thisFaceNormal, otherFaceNormal);\n if (dot > maxAngleCos) {\n vec3.add(norm, otherFaceNormal, norm);\n }\n });\n vec3.normalize(norm, norm);\n newTriangle.push(getNewVertIndex(positions[ndx], norm));\n }\n newTriangles.push(newTriangle as [number, number, number]);\n }\n\n return {\n positions: newPositions,\n normals: newNormals,\n triangles: newTriangles,\n };\n}\n\ntype ProjectedPlane = 'xy' | 'xz' | 'yz';\n\nconst projectedPlane2Ids: { [key in ProjectedPlane]: [number, number] } = {\n xy: [0, 1],\n xz: [0, 2],\n yz: [1, 2],\n};\n\nexport function computeProjectedPlaneUVs(\n positions: [number, number, number][],\n projectedPlane: ProjectedPlane = 'xy'\n): [number, number][] {\n const idxs = projectedPlane2Ids[projectedPlane];\n const uvs: [number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0];\n });\n const extentMin = [Infinity, Infinity];\n const extentMax = [-Infinity, -Infinity];\n positions.forEach((pos, i) => {\n // Simply project to the selected plane\n uvs[i][0] = pos[idxs[0]];\n uvs[i][1] = pos[idxs[1]];\n\n extentMin[0] = Math.min(pos[idxs[0]], extentMin[0]);\n extentMin[1] = Math.min(pos[idxs[1]], extentMin[1]);\n extentMax[0] = Math.max(pos[idxs[0]], extentMax[0]);\n extentMax[1] = Math.max(pos[idxs[1]], extentMax[1]);\n });\n uvs.forEach((uv) => {\n uv[0] = (uv[0] - extentMin[0]) / (extentMax[0] - extentMin[0]);\n uv[1] = (uv[1] - extentMin[1]) / (extentMax[1] - extentMin[1]);\n });\n return uvs;\n}\n","import teapotData from 'teapot';\nimport { computeSurfaceNormals } from './utils';\n\nexport const mesh = {\n positions: teapotData.positions as [number, number, number][],\n triangles: teapotData.cells as [number, number, number][],\n normals: [] as [number, number, number][],\n};\n\n// Compute surface normals\nmesh.normals = computeSurfaceNormals(mesh.positions, mesh.triangles);\n","// from github.com/hughsk/stanford-dragon\nexport default {\n cells: 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dragonRawData from './stanfordDragonData';\nimport { computeProjectedPlaneUVs, generateNormals } from './utils';\n\nconst { positions, normals, triangles } = generateNormals(\n Math.PI,\n dragonRawData.positions as [number, number, number][],\n dragonRawData.cells as [number, number, number][]\n);\n\nconst uvs = computeProjectedPlaneUVs(positions, 'xy');\n\n// Push indices for an additional ground plane\ntriangles.push(\n [positions.length, positions.length + 2, positions.length + 1],\n [positions.length, positions.length + 1, positions.length + 3]\n);\n\n// Push vertex attributes for an additional ground plane\n// prettier-ignore\npositions.push(\n [-100, 20, -100], //\n [ 100, 20, 100], //\n [-100, 20, 100], //\n [ 100, 20, -100]\n);\nnormals.push(\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0]\n);\nuvs.push(\n [0, 0], //\n [1, 1], //\n [0, 1], //\n [1, 0]\n);\n\nexport const mesh = {\n positions,\n triangles,\n normals,\n uvs,\n};\n","import { vec3 } from 'wgpu-matrix';\n\nexport interface SphereMesh {\n vertices: Float32Array;\n indices: Uint16Array;\n}\n\nexport const SphereLayout = {\n vertexStride: 8 * 4,\n positionsOffset: 0,\n normalOffset: 3 * 4,\n uvOffset: 6 * 4,\n};\n\n// Borrowed and simplified from https://github.com/mrdoob/three.js/blob/master/src/geometries/SphereGeometry.js\nexport function createSphereMesh(\n radius: number,\n widthSegments = 32,\n heightSegments = 16,\n randomness = 0\n): SphereMesh {\n const vertices = [];\n const indices = [];\n\n widthSegments = Math.max(3, Math.floor(widthSegments));\n heightSegments = Math.max(2, Math.floor(heightSegments));\n\n const firstVertex = vec3.create();\n const vertex = vec3.create();\n const normal = vec3.create();\n\n let index = 0;\n const grid = [];\n\n // generate vertices, normals and uvs\n for (let iy = 0; iy <= heightSegments; iy++) {\n const verticesRow = [];\n const v = iy / heightSegments;\n\n // special case for the poles\n let uOffset = 0;\n if (iy === 0) {\n uOffset = 0.5 / widthSegments;\n } else if (iy === heightSegments) {\n uOffset = -0.5 / widthSegments;\n }\n\n for (let ix = 0; ix <= widthSegments; ix++) {\n const u = ix / widthSegments;\n\n // Poles should just use the same position all the way around.\n if (ix == widthSegments) {\n vec3.copy(firstVertex, vertex);\n } else if (ix == 0 || (iy != 0 && iy !== heightSegments)) {\n const rr = radius + (Math.random() - 0.5) * 2 * randomness * radius;\n\n // vertex\n vertex[0] = -rr * Math.cos(u * Math.PI * 2) * Math.sin(v * Math.PI);\n vertex[1] = rr * Math.cos(v * Math.PI);\n vertex[2] = rr * Math.sin(u * Math.PI * 2) * Math.sin(v * Math.PI);\n\n if (ix == 0) {\n vec3.copy(vertex, firstVertex);\n }\n }\n\n vertices.push(...vertex);\n\n // normal\n vec3.copy(vertex, normal);\n vec3.normalize(normal, normal);\n vertices.push(...normal);\n\n // uv\n vertices.push(u + uOffset, 1 - v);\n verticesRow.push(index++);\n }\n\n grid.push(verticesRow);\n }\n\n // indices\n for (let iy = 0; iy < heightSegments; iy++) {\n for (let ix = 0; ix < widthSegments; ix++) {\n const a = grid[iy][ix + 1];\n const b = grid[iy][ix];\n const c = grid[iy + 1][ix];\n const d = grid[iy + 1][ix + 1];\n\n if (iy !== 0) indices.push(a, b, d);\n if (iy !== heightSegments - 1) indices.push(b, c, d);\n }\n }\n\n return {\n vertices: new Float32Array(vertices),\n indices: new Uint16Array(indices),\n };\n}\n","// Ideally all the models would be the same format\n// and we'd determine that format at build time or before\n// but, we want to reuse the model data in this repo\n// so we'll normalize it here\n\nimport { vec3 } from 'wgpu-matrix';\nimport { mesh as teapot } from '../../meshes/teapot';\nimport { mesh as dragon } from '../../meshes/stanfordDragon';\nimport { createSphereMesh } from '../../meshes/sphere';\n\ntype Mesh = {\n positions: [number, number, number][];\n triangles: [number, number, number][];\n normals: [number, number, number][];\n};\n\nexport function convertMeshToTypedArrays(\n mesh: Mesh,\n scale: number,\n offset = [0, 0, 0]\n) {\n const { positions, normals, triangles } = mesh;\n const scaledPositions = positions.map((p) =>\n p.map((v, i) => v * scale + offset[i % 3])\n );\n const vertices = new Float32Array(scaledPositions.length * 6);\n for (let i = 0; i < scaledPositions.length; ++i) {\n vertices.set(scaledPositions[i], 6 * i);\n vertices.set(normals[i], 6 * i + 3);\n }\n const indices = new Uint32Array(triangles.length * 3);\n for (let i = 0; i < triangles.length; ++i) {\n indices.set(triangles[i], 3 * i);\n }\n\n return {\n vertices,\n indices,\n };\n}\n\nfunction createSphereTypedArrays(\n radius: number,\n widthSegments = 32,\n heightSegments = 16,\n randomness = 0\n) {\n const { vertices: verticesWithUVs, indices } = createSphereMesh(\n radius,\n widthSegments,\n heightSegments,\n randomness\n );\n const numVertices = verticesWithUVs.length / 8;\n const vertices = new Float32Array(numVertices * 6);\n for (let i = 0; i < numVertices; ++i) {\n const srcNdx = i * 8;\n const dstNdx = i * 6;\n vertices.set(verticesWithUVs.subarray(srcNdx, srcNdx + 6), dstNdx);\n }\n return {\n vertices,\n indices: new Uint32Array(indices),\n };\n}\n\nfunction flattenNormals({\n vertices,\n indices,\n}: {\n vertices: Float32Array;\n indices: Uint32Array;\n}) {\n const newVertices = new Float32Array(indices.length * 6);\n const newIndices = new Uint32Array(indices.length);\n for (let i = 0; i < indices.length; i += 3) {\n const positions = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = indices[i + j];\n const srcNdx = ndx * 6;\n const dstNdx = (i + j) * 6;\n // copy position\n const pos = vertices.subarray(srcNdx, srcNdx + 3);\n newVertices.set(pos, dstNdx);\n positions.push(pos);\n newIndices[i + j] = i + j;\n }\n\n const normal = vec3.normalize(\n vec3.cross(\n vec3.normalize(vec3.subtract(positions[1], positions[0])),\n vec3.normalize(vec3.subtract(positions[2], positions[1]))\n )\n );\n\n for (let j = 0; j < 3; ++j) {\n const dstNdx = (i + j) * 6;\n newVertices.set(normal, dstNdx + 3);\n }\n }\n\n return {\n vertices: newVertices,\n indices: newIndices,\n };\n}\n\nexport const modelData = {\n teapot: convertMeshToTypedArrays(teapot, 1.5),\n dragon: convertMeshToTypedArrays(dragon, 0.5, [0, -25, 0]),\n sphere: flattenNormals(createSphereTypedArrays(20)),\n jewel: flattenNormals(createSphereTypedArrays(20, 5, 3)),\n rock: flattenNormals(createSphereTypedArrays(20, 32, 16, 0.1)),\n};\n","/* eslint-disable prettier/prettier */\nimport { mat4, mat3 } from 'wgpu-matrix';\nimport { modelData } from './models';\n\ntype TypedArrayView = Float32Array | Uint32Array;\n\nfunction createBufferWithData(\n device: GPUDevice,\n data: TypedArrayView,\n usage: number\n) {\n const buffer = device.createBuffer({\n size: data.byteLength,\n usage: usage,\n });\n device.queue.writeBuffer(buffer, 0, data);\n return buffer;\n}\n\ntype Model = {\n vertexBuffer: GPUBuffer;\n indexBuffer: GPUBuffer;\n indexFormat: GPUIndexFormat;\n vertexCount: number;\n};\n\nfunction createVertexAndIndexBuffer(\n device: GPUDevice,\n { vertices, indices }: { vertices: Float32Array, indices: Uint32Array },\n): Model {\n const vertexBuffer = createBufferWithData(\n device,\n vertices,\n GPUBufferUsage.VERTEX | GPUBufferUsage.COPY_DST\n );\n const indexBuffer = createBufferWithData(\n device,\n indices,\n GPUBufferUsage.INDEX | GPUBufferUsage.COPY_DST\n );\n return {\n vertexBuffer,\n indexBuffer,\n indexFormat: 'uint32',\n vertexCount: indices.length,\n };\n}\n\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst models = Object.values(modelData).map(data => createVertexAndIndexBuffer(device, data));\n\nfunction rand(min?: number, max?: number) {\n if (min === undefined) {\n max = 1;\n min = 0;\n } else if (max === undefined) {\n max = min;\n min = 0;\n }\n return Math.random() * (max - min) + min;\n}\n\nfunction randInt(min: number, max?: number) {\n return Math.floor(rand(min, max));\n}\n\nfunction randColor() {\n return [rand(), rand(), rand(), 1];\n}\n\n\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\nconst depthFormat = 'depth24plus';\n\nconst module = device.createShaderModule({\n code: `\n struct Uniforms {\n worldViewProjectionMatrix: mat4x4f,\n worldMatrix: mat4x4f,\n color: vec4f,\n };\n\n struct Vertex {\n @location(0) position: vec4f,\n @location(1) normal: vec3f,\n };\n\n struct VSOut {\n @builtin(position) position: vec4f,\n @location(0) normal: vec3f,\n };\n\n @group(0) @binding(0) var uni: Uniforms;\n\n @vertex fn vs(vin: Vertex) -> VSOut {\n var vOut: VSOut;\n vOut.position = uni.worldViewProjectionMatrix * vin.position;\n vOut.normal = (uni.worldMatrix * vec4f(vin.normal, 0)).xyz;\n return vOut;\n }\n\n @fragment fn fs(vin: VSOut) -> @location(0) vec4f {\n let lightDirection = normalize(vec3f(4, 10, 6));\n let light = dot(normalize(vin.normal), lightDirection) * 0.5 + 0.5;\n return vec4f(uni.color.rgb * light, uni.color.a);\n }\n `,\n});\n\nconst pipeline = device.createRenderPipeline({\n label: 'our hardcoded red triangle pipeline',\n layout: 'auto',\n vertex: {\n module,\n buffers: [\n {\n arrayStride: 6 * 4, // position, normal\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: 0,\n format: 'float32x3',\n },\n {\n // normal\n shaderLocation: 1,\n offset: 3 * 4,\n format: 'float32x3',\n },\n ],\n },\n ],\n },\n fragment: {\n module,\n targets: [{ format: presentationFormat }],\n },\n primitive: {\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthFormat,\n },\n});\n\nconst resizeObserver = new ResizeObserver((entries) => {\n for (const entry of entries) {\n const canvas = entry.target as HTMLCanvasElement;\n const width = entry.contentBoxSize[0].inlineSize;\n const height = entry.contentBoxSize[0].blockSize;\n canvas.width = Math.max(\n 1,\n Math.min(width, device.limits.maxTextureDimension2D)\n );\n canvas.height = Math.max(\n 1,\n Math.min(height, device.limits.maxTextureDimension2D)\n );\n }\n});\n\nconst visibleCanvasSet = new Set();\nconst intersectionObserver = new IntersectionObserver((entries) => {\n for (const { target, isIntersecting } of entries) {\n const canvas = target as HTMLCanvasElement;\n if (isIntersecting) {\n visibleCanvasSet.add(canvas);\n } else {\n visibleCanvasSet.delete(canvas);\n }\n }\n});\n\ntype CanvasInfo = {\n context: GPUCanvasContext;\n depthTexture?: GPUTexture;\n clearValue: number[];\n worldViewProjectionMatrixValue: Float32Array;\n worldMatrixValue: Float32Array;\n uniformValues: Float32Array;\n uniformBuffer: GPUBuffer;\n bindGroup: GPUBindGroup;\n rotation: number;\n model: Model;\n};\n\nconst outerElem = document.querySelector('#outer');\nconst canvasToInfoMap = new Map();\nconst numProducts = 200;\nfor (let i = 0; i < numProducts; ++i) {\n // making this\n //
\n // \n //
Product#: ?
\n //
\n const canvas = document.createElement('canvas');\n resizeObserver.observe(canvas);\n intersectionObserver.observe(canvas);\n\n const container = document.createElement('div');\n container.className = `product size${randInt(4)}`;\n\n const description = document.createElement('div');\n description.textContent = `product#: ${i + 1}`;\n\n container.appendChild(canvas);\n container.appendChild(description);\n outerElem.appendChild(container);\n\n // Get a WebGPU context and configure it.\n const context = canvas.getContext('webgpu');\n context.configure({\n device,\n format: presentationFormat,\n });\n\n // Make a uniform buffer and type array views\n // for our uniforms.\n const uniformValues = new Float32Array(16 + 16 + 4);\n const uniformBuffer = device.createBuffer({\n size: uniformValues.byteLength,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n const kWorldViewProjectionMatrixOffset = 0;\n const kWorldMatrixOffset = 16;\n const kColorOffset = 32;\n const worldViewProjectionMatrixValue = uniformValues.subarray(\n kWorldViewProjectionMatrixOffset,\n kWorldViewProjectionMatrixOffset + 16);\n const worldMatrixValue = uniformValues.subarray(\n kWorldMatrixOffset,\n kWorldMatrixOffset + 15\n );\n const colorValue = uniformValues.subarray(kColorOffset, kColorOffset + 4);\n colorValue.set(randColor());\n\n // Make a bind group for this uniform\n const bindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [{ binding: 0, resource: { buffer: uniformBuffer } }],\n });\n\n canvasToInfoMap.set(canvas, {\n context,\n clearValue: randColor(),\n worldViewProjectionMatrixValue,\n worldMatrixValue,\n uniformValues,\n uniformBuffer,\n bindGroup,\n rotation: rand(Math.PI * 2),\n model: models[randInt(models.length)],\n });\n}\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n label: 'our basic canvas renderPass',\n colorAttachments: [\n {\n view: undefined, // <- to be filled out when we render\n clearValue: [0.3, 0.3, 0.3, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: undefined, // <- to be filled out when we render\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nfunction render(time: number) {\n time *= 0.001; // convert to seconds;\n\n // make a command encoder to start encoding commands\n const encoder = device.createCommandEncoder();\n\n visibleCanvasSet.forEach((canvas) => {\n const canvasInfo = canvasToInfoMap.get(canvas);\n const {\n context,\n uniformBuffer,\n uniformValues,\n worldViewProjectionMatrixValue,\n worldMatrixValue,\n bindGroup,\n clearValue,\n rotation,\n model: { vertexBuffer, indexBuffer, indexFormat, vertexCount },\n } = canvasInfo;\n let { depthTexture } = canvasInfo;\n\n // Get the current texture from the canvas context and\n // set it as the texture to render to.\n const canvasTexture = context.getCurrentTexture();\n renderPassDescriptor.colorAttachments[0].view = canvasTexture.createView();\n renderPassDescriptor.colorAttachments[0].clearValue = clearValue;\n\n // If we don't have a depth texture OR if its size is different\n // from the canvasTexture when make a new depth texture\n if (\n !depthTexture ||\n depthTexture.width !== canvasTexture.width ||\n depthTexture.height !== canvasTexture.height\n ) {\n if (depthTexture) {\n depthTexture.destroy();\n }\n depthTexture = device.createTexture({\n size: [canvasTexture.width, canvasTexture.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n });\n canvasInfo.depthTexture = depthTexture;\n }\n renderPassDescriptor.depthStencilAttachment.view =\n depthTexture.createView();\n\n const fov = (60 * Math.PI) / 180;\n const aspect = canvas.clientWidth / canvas.clientHeight;\n const projection = mat4.perspective(fov, aspect, 0.1, 100);\n\n const view = mat4.lookAt(\n [0, 30, 50], // eye\n [0, 0, 0], // target\n [0, 1, 0] // up\n );\n\n const viewProjection = mat4.multiply(projection, view);\n\n const world = mat4.rotationY(time * 0.1 + rotation);\n mat4.multiply(viewProjection, world, worldViewProjectionMatrixValue);\n mat3.fromMat4(world, worldMatrixValue);\n\n // Upload our uniform values.\n device.queue.writeBuffer(uniformBuffer, 0, uniformValues);\n\n // make a render pass encoder to encode render specific commands\n const pass = encoder.beginRenderPass(renderPassDescriptor);\n pass.setPipeline(pipeline);\n pass.setVertexBuffer(0, vertexBuffer);\n pass.setIndexBuffer(indexBuffer, indexFormat);\n pass.setBindGroup(0, bindGroup);\n pass.drawIndexed(vertexCount);\n pass.end();\n });\n\n const commandBuffer = encoder.finish();\n device.queue.submit([commandBuffer]);\n\n 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\ No newline at end of file diff --git a/sample/normalMap/main.js b/sample/normalMap/main.js index 48a5045f..7c4c15bc 100644 --- a/sample/normalMap/main.js +++ b/sample/normalMap/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Generates am typed API for Vec3 */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); } - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,945 +744,1699 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); } - return copy$3(a, dst); + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Return the vector exactly between 2 endpoint vectors - * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - /** - * 4x4 Matrix math math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this - * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix - * - * or - * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always save to pass any matrix as the destination. So for example - * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. - * - */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; -} -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in - * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. - */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } } } } @@ -1082,1449 +2452,3039 @@ function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v1 } } } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Creates a 4-by-4 identity matrix. + +/* + * Copyright 2022 Gregg Tavares * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; +/** + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } -let xAxis; -let yAxis; -let zAxis; +const cache$1 = new Map(); /** - * Computes a 4-by-4 aim transformation. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Quat4 math functions. * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * or * - * Note: this is the inverse of `lookAt` + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * It is always safe to pass any vector as the destination. So for example + * + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} /** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * + * Vec4 math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this + * + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. + * + * or + * + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always safe to pass any vector as the destination. So for example + * + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -5617,15 +8577,15 @@ const surfaceBGDescriptor = createBindGroupDescriptor([0, 1, 2, 3], [GPUShaderSt ], ], 'Surface', device); const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 0.1, 10.0); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 0.1, 10.0); function getViewMatrix() { - return mat4Impl.lookAt([settings.cameraPosX, settings.cameraPosY, settings.cameraPosZ], [0, 0, 0], [0, 1, 0]); + return mat4.lookAt([settings.cameraPosX, settings.cameraPosY, settings.cameraPosZ], [0, 0, 0], [0, 1, 0]); } function getModelMatrix() { - const modelMatrix = mat4Impl.create(); - mat4Impl.identity(modelMatrix); + const modelMatrix = mat4.create(); + mat4.identity(modelMatrix); const now = Date.now() / 1000; - mat4Impl.rotateY(modelMatrix, now * -0.5, modelMatrix); + mat4.rotateY(modelMatrix, now * -0.5, modelMatrix); return modelMatrix; } // Change the model mapping type @@ -5689,15 +8649,15 @@ depthFolder.add(settings, 'depthLayers', 1, 32).step(1); function frame() { // Update spaceTransformsBuffer const viewMatrix = getViewMatrix(); - const worldViewMatrix = mat4Impl.mul(viewMatrix, getModelMatrix()); - const worldViewProjMatrix = mat4Impl.mul(projectionMatrix, worldViewMatrix); + const worldViewMatrix = mat4.mul(viewMatrix, getModelMatrix()); + const worldViewProjMatrix = mat4.mul(projectionMatrix, worldViewMatrix); const matrices = new Float32Array([ ...worldViewProjMatrix, ...worldViewMatrix, ]); // Update mapInfoBuffer - const lightPosWS = vec3Impl.create(settings.lightPosX, settings.lightPosY, settings.lightPosZ); - const lightPosVS = vec3Impl.transformMat4(lightPosWS, viewMatrix); + const lightPosWS = vec3.create(settings.lightPosX, settings.lightPosY, settings.lightPosZ); + const lightPosVS = vec3.transformMat4(lightPosWS, viewMatrix); const mode = getMode(); device.queue.writeBuffer(spaceTransformsBuffer, 0, matrices.buffer, matrices.byteOffset, matrices.byteLength); // struct MapInfo { diff --git a/sample/normalMap/main.js.map b/sample/normalMap/main.js.map index eb0720c1..1b370f80 100644 --- a/sample/normalMap/main.js.map +++ b/sample/normalMap/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../meshes/mesh.ts","../../../../../meshes/box.ts","../../../../../sample/normalMap/utils.ts","../../../../../sample/normalMap/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { vec3, vec2 } from 'wgpu-matrix';\n\n// Defines what to pass to pipeline to render mesh\nexport interface Renderable {\n vertexBuffer: GPUBuffer;\n indexBuffer: GPUBuffer;\n indexCount: number;\n bindGroup?: GPUBindGroup;\n}\n\nexport interface Mesh {\n vertices: Float32Array;\n indices: Uint16Array | Uint32Array;\n vertexStride: number;\n}\n\n/**\n * @param {GPUDevice} device - A valid GPUDevice.\n * @param {Mesh} mesh - An indexed triangle-list mesh, containing its vertices, indices, and vertexStride (number of elements per vertex).\n * @param {boolean} storeVertices - A boolean flag indicating whether the vertexBuffer should be available to use as a storage buffer.\n * @returns {boolean} An object containing an array of bindGroups and the bindGroupLayout they implement.\n */\nexport const createMeshRenderable = (\n device: GPUDevice,\n mesh: Mesh,\n storeVertices = false,\n storeIndices = false\n): Renderable => {\n // Define buffer usage\n const vertexBufferUsage = storeVertices\n ? GPUBufferUsage.VERTEX | GPUBufferUsage.STORAGE\n : GPUBufferUsage.VERTEX;\n const indexBufferUsage = storeIndices\n ? GPUBufferUsage.INDEX | GPUBufferUsage.STORAGE\n : GPUBufferUsage.INDEX;\n\n // Create vertex and index buffers\n const vertexBuffer = device.createBuffer({\n size: mesh.vertices.byteLength,\n usage: vertexBufferUsage,\n mappedAtCreation: true,\n });\n new Float32Array(vertexBuffer.getMappedRange()).set(mesh.vertices);\n vertexBuffer.unmap();\n\n const indexBuffer = device.createBuffer({\n size: mesh.indices.byteLength,\n usage: indexBufferUsage,\n mappedAtCreation: true,\n });\n\n // Determine whether index buffer is indices are in uint16 or uint32 format\n if (\n mesh.indices.byteLength ===\n mesh.indices.length * Uint16Array.BYTES_PER_ELEMENT\n ) {\n new Uint16Array(indexBuffer.getMappedRange()).set(mesh.indices);\n } else {\n new Uint32Array(indexBuffer.getMappedRange()).set(mesh.indices);\n }\n\n indexBuffer.unmap();\n\n return {\n vertexBuffer,\n indexBuffer,\n indexCount: mesh.indices.length,\n };\n};\n\nexport const getMeshPosAtIndex = (mesh: Mesh, index: number) => {\n const arr = new Float32Array(\n mesh.vertices.buffer,\n index * mesh.vertexStride + 0,\n 3\n );\n return vec3.fromValues(arr[0], arr[1], arr[2]);\n};\n\nexport const getMeshNormalAtIndex = (mesh: Mesh, index: number) => {\n const arr = new Float32Array(\n mesh.vertices.buffer,\n index * mesh.vertexStride + 3 * Float32Array.BYTES_PER_ELEMENT,\n 3\n );\n return vec3.fromValues(arr[0], arr[1], arr[2]);\n};\n\nexport const getMeshUVAtIndex = (mesh: Mesh, index: number) => {\n const arr = new Float32Array(\n mesh.vertices.buffer,\n index * mesh.vertexStride + 6 * Float32Array.BYTES_PER_ELEMENT,\n 2\n );\n return vec2.fromValues(arr[0], arr[1]);\n};\n","import { Mesh } from './mesh';\n\n/**\n * Constructs a box mesh with the given dimensions.\n * The vertex buffer will have the following vertex fields (in the given order):\n * position : float32x3\n * normal : float32x3\n * uv : float32x2\n * tangent : float32x3\n * bitangent : float32x3\n * @param width the width of the box\n * @param height the height of the box\n * @param depth the depth of the box\n * @returns the box mesh with tangent and bitangents.\n */\nexport function createBoxMeshWithTangents(\n width: number,\n height: number,\n depth: number\n): Mesh {\n // __________\n // / /| y\n // / +y / | ^\n // /_________/ | |\n // | |+x| +---> x\n // | +z | | /\n // | | / z\n // |_________|/\n //\n const pX = 0; // +x\n const nX = 1; // -x\n const pY = 2; // +y\n const nY = 3; // -y\n const pZ = 4; // +z\n const nZ = 5; // -z\n const faces = [\n { tangent: nZ, bitangent: pY, normal: pX },\n { tangent: pZ, bitangent: pY, normal: nX },\n { tangent: pX, bitangent: nZ, normal: pY },\n { tangent: pX, bitangent: pZ, normal: nY },\n { tangent: pX, bitangent: pY, normal: pZ },\n { tangent: nX, bitangent: pY, normal: nZ },\n ];\n const verticesPerSide = 4;\n const indicesPerSize = 6;\n const f32sPerVertex = 14; // position : vec3f, tangent : vec3f, bitangent : vec3f, normal : vec3f, uv :vec2f\n const vertexStride = f32sPerVertex * 4;\n const vertices = new Float32Array(\n faces.length * verticesPerSide * f32sPerVertex\n );\n const indices = new Uint16Array(faces.length * indicesPerSize);\n const halfVecs = [\n [+width / 2, 0, 0], // +x\n [-width / 2, 0, 0], // -x\n [0, +height / 2, 0], // +y\n [0, -height / 2, 0], // -y\n [0, 0, +depth / 2], // +z\n [0, 0, -depth / 2], // -z\n ];\n\n let vertexOffset = 0;\n let indexOffset = 0;\n for (let faceIndex = 0; faceIndex < faces.length; faceIndex++) {\n const face = faces[faceIndex];\n const tangent = halfVecs[face.tangent];\n const bitangent = halfVecs[face.bitangent];\n const normal = halfVecs[face.normal];\n\n for (let u = 0; u < 2; u++) {\n for (let v = 0; v < 2; v++) {\n for (let i = 0; i < 3; i++) {\n vertices[vertexOffset++] =\n normal[i] +\n (u == 0 ? -1 : 1) * tangent[i] +\n (v == 0 ? -1 : 1) * bitangent[i];\n }\n for (let i = 0; i < 3; i++) {\n vertices[vertexOffset++] = normal[i];\n }\n vertices[vertexOffset++] = u;\n vertices[vertexOffset++] = v;\n for (let i = 0; i < 3; i++) {\n vertices[vertexOffset++] = tangent[i];\n }\n for (let i = 0; i < 3; i++) {\n vertices[vertexOffset++] = bitangent[i];\n }\n }\n }\n\n indices[indexOffset++] = faceIndex * verticesPerSide + 0;\n indices[indexOffset++] = faceIndex * verticesPerSide + 2;\n indices[indexOffset++] = faceIndex * verticesPerSide + 1;\n\n indices[indexOffset++] = faceIndex * verticesPerSide + 2;\n indices[indexOffset++] = faceIndex * verticesPerSide + 3;\n indices[indexOffset++] = faceIndex * verticesPerSide + 1;\n }\n\n return {\n vertices,\n indices,\n vertexStride,\n };\n}\n","type BindGroupBindingLayout =\n | GPUBufferBindingLayout\n | GPUTextureBindingLayout\n | GPUSamplerBindingLayout\n | GPUStorageTextureBindingLayout\n | GPUExternalTextureBindingLayout;\n\nexport type BindGroupsObjectsAndLayout = {\n bindGroups: GPUBindGroup[];\n bindGroupLayout: GPUBindGroupLayout;\n};\n\ntype ResourceTypeName =\n | 'buffer'\n | 'texture'\n | 'sampler'\n | 'externalTexture'\n | 'storageTexture';\n\n/**\n * @param {number[]} bindings - The binding value of each resource in the bind group.\n * @param {number[]} visibilities - The GPUShaderStage visibility of the resource at the corresponding index.\n * @param {ResourceTypeName[]} resourceTypes - The resourceType at the corresponding index.\n * @returns {BindGroupsObjectsAndLayout} An object containing an array of bindGroups and the bindGroupLayout they implement.\n */\nexport const createBindGroupDescriptor = (\n bindings: number[],\n visibilities: number[],\n resourceTypes: ResourceTypeName[],\n resourceLayouts: BindGroupBindingLayout[],\n resources: GPUBindingResource[][],\n label: string,\n device: GPUDevice\n): BindGroupsObjectsAndLayout => {\n // Create layout of each entry within a bindGroup\n const layoutEntries: GPUBindGroupLayoutEntry[] = [];\n for (let i = 0; i < bindings.length; i++) {\n layoutEntries.push({\n binding: bindings[i],\n visibility: visibilities[i % visibilities.length],\n [resourceTypes[i]]: resourceLayouts[i],\n });\n }\n\n // Apply entry layouts to bindGroupLayout\n const bindGroupLayout = device.createBindGroupLayout({\n label: `${label}.bindGroupLayout`,\n entries: layoutEntries,\n });\n\n // Create bindGroups that conform to the layout\n const bindGroups: GPUBindGroup[] = [];\n for (let i = 0; i < resources.length; i++) {\n const groupEntries: GPUBindGroupEntry[] = [];\n for (let j = 0; j < resources[0].length; j++) {\n groupEntries.push({\n binding: j,\n resource: resources[i][j],\n });\n }\n const newBindGroup = device.createBindGroup({\n label: `${label}.bindGroup${i}`,\n layout: bindGroupLayout,\n entries: groupEntries,\n });\n bindGroups.push(newBindGroup);\n }\n\n return {\n bindGroups,\n bindGroupLayout,\n };\n};\n\nexport type ShaderKeyInterface = {\n [K in T[number]]: number;\n};\n\ninterface AttribAcc {\n attributes: GPUVertexAttribute[];\n arrayStride: number;\n}\n\n/**\n * @param {GPUVertexFormat} vf - A valid GPUVertexFormat, representing a per-vertex value that can be passed to the vertex shader.\n * @returns {number} The number of bytes present in the value to be passed.\n */\nexport const convertVertexFormatToBytes = (vf: GPUVertexFormat): number => {\n const splitFormat = vf.split('x');\n const bytesPerElement = parseInt(splitFormat[0].replace(/[^0-9]/g, '')) / 8;\n\n const bytesPerVec =\n bytesPerElement *\n (splitFormat[1] !== undefined ? parseInt(splitFormat[1]) : 1);\n\n return bytesPerVec;\n};\n\n/** Creates a GPUVertexBuffer Layout that maps to an interleaved vertex buffer.\n * @param {GPUVertexFormat[]} vertexFormats - An array of valid GPUVertexFormats.\n * @returns {GPUVertexBufferLayout} A GPUVertexBufferLayout representing an interleaved vertex buffer.\n */\nexport const createVBuffer = (\n vertexFormats: GPUVertexFormat[]\n): GPUVertexBufferLayout => {\n const initialValue: AttribAcc = { attributes: [], arrayStride: 0 };\n\n const vertexBuffer = vertexFormats.reduce(\n (acc: AttribAcc, curr: GPUVertexFormat, idx: number) => {\n const newAttribute: GPUVertexAttribute = {\n shaderLocation: idx,\n offset: acc.arrayStride,\n format: curr,\n };\n const nextOffset: number =\n acc.arrayStride + convertVertexFormatToBytes(curr);\n\n const retVal: AttribAcc = {\n attributes: [...acc.attributes, newAttribute],\n arrayStride: nextOffset,\n };\n return retVal;\n },\n initialValue\n );\n\n const layout: GPUVertexBufferLayout = {\n arrayStride: vertexBuffer.arrayStride,\n attributes: vertexBuffer.attributes,\n };\n\n return layout;\n};\n\nexport const create3DRenderPipeline = (\n device: GPUDevice,\n label: string,\n bgLayouts: GPUBindGroupLayout[],\n vertexShader: string,\n vBufferFormats: GPUVertexFormat[],\n fragmentShader: string,\n presentationFormat: GPUTextureFormat,\n depthTest = false,\n topology: GPUPrimitiveTopology = 'triangle-list',\n cullMode: GPUCullMode = 'back'\n) => {\n const pipelineDescriptor: GPURenderPipelineDescriptor = {\n label: `${label}.pipeline`,\n layout: device.createPipelineLayout({\n label: `${label}.pipelineLayout`,\n bindGroupLayouts: bgLayouts,\n }),\n vertex: {\n module: device.createShaderModule({\n label: `${label}.vertexShader`,\n code: vertexShader,\n }),\n buffers:\n vBufferFormats.length !== 0 ? [createVBuffer(vBufferFormats)] : [],\n },\n fragment: {\n module: device.createShaderModule({\n label: `${label}.fragmentShader`,\n code: fragmentShader,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: topology,\n cullMode: cullMode,\n },\n };\n if (depthTest) {\n pipelineDescriptor.depthStencil = {\n depthCompare: 'less',\n depthWriteEnabled: true,\n format: 'depth24plus',\n };\n }\n return device.createRenderPipeline(pipelineDescriptor);\n};\n\nexport const createTextureFromImage = (\n device: GPUDevice,\n bitmap: ImageBitmap\n) => {\n const texture: GPUTexture = device.createTexture({\n size: [bitmap.width, bitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: bitmap },\n { texture: texture },\n [bitmap.width, bitmap.height]\n );\n return texture;\n};\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport normalMapWGSL from './normalMap.wgsl';\nimport { createMeshRenderable } from '../../meshes/mesh';\nimport { createBoxMeshWithTangents } from '../../meshes/box';\nimport {\n createBindGroupDescriptor,\n create3DRenderPipeline,\n createTextureFromImage,\n} from './utils';\n\nconst MAT4X4_BYTES = 64;\nenum TextureAtlas {\n Spiral,\n Toybox,\n BrickWall,\n}\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\ninterface GUISettings {\n 'Bump Mode':\n | 'Albedo Texture'\n | 'Normal Texture'\n | 'Depth Texture'\n | 'Normal Map'\n | 'Parallax Scale'\n | 'Steep Parallax';\n cameraPosX: number;\n cameraPosY: number;\n cameraPosZ: number;\n lightPosX: number;\n lightPosY: number;\n lightPosZ: number;\n lightIntensity: number;\n depthScale: number;\n depthLayers: number;\n Texture: string;\n 'Reset Light': () => void;\n}\n\nconst settings: GUISettings = {\n 'Bump Mode': 'Normal Map',\n cameraPosX: 0.0,\n cameraPosY: 0.8,\n cameraPosZ: -1.4,\n lightPosX: 1.7,\n lightPosY: 0.7,\n lightPosZ: -1.9,\n lightIntensity: 5.0,\n depthScale: 0.05,\n depthLayers: 16,\n Texture: 'Spiral',\n 'Reset Light': () => {\n return;\n },\n};\n\n// Create normal mapping resources and pipeline\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst spaceTransformsBuffer = device.createBuffer({\n // Buffer holding projection, view, and model matrices plus padding bytes\n size: MAT4X4_BYTES * 4,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst mapInfoBuffer = device.createBuffer({\n // Buffer holding mapping type, light uniforms, and depth uniforms\n size: Float32Array.BYTES_PER_ELEMENT * 8,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst mapInfoArray = new ArrayBuffer(mapInfoBuffer.size);\nconst mapInfoView = new DataView(mapInfoArray, 0, mapInfoArray.byteLength);\n\n// Fetch the image and upload it into a GPUTexture.\nlet woodAlbedoTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/wood_albedo.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n woodAlbedoTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet spiralNormalTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/spiral_normal.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n spiralNormalTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet spiralHeightTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/spiral_height.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n spiralHeightTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet toyboxNormalTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/toybox_normal.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n toyboxNormalTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet toyboxHeightTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/toybox_height.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n toyboxHeightTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet brickwallAlbedoTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/brickwall_albedo.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n brickwallAlbedoTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet brickwallNormalTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/brickwall_normal.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n brickwallNormalTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet brickwallHeightTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/brickwall_height.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n brickwallHeightTexture = createTextureFromImage(device, imageBitmap);\n}\n\n// Create a sampler with linear filtering for smooth interpolation.\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst box = createMeshRenderable(\n device,\n createBoxMeshWithTangents(1.0, 1.0, 1.0)\n);\n\n// Uniform bindGroups and bindGroupLayout\nconst frameBGDescriptor = createBindGroupDescriptor(\n [0, 1],\n [\n GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n GPUShaderStage.FRAGMENT | GPUShaderStage.VERTEX,\n ],\n ['buffer', 'buffer'],\n [{ type: 'uniform' }, { type: 'uniform' }],\n [[{ buffer: spaceTransformsBuffer }, { buffer: mapInfoBuffer }]],\n 'Frame',\n device\n);\n\n// Texture bindGroups and bindGroupLayout\nconst surfaceBGDescriptor = createBindGroupDescriptor(\n [0, 1, 2, 3],\n [GPUShaderStage.FRAGMENT],\n ['sampler', 'texture', 'texture', 'texture'],\n [\n { type: 'filtering' },\n { sampleType: 'float' },\n { sampleType: 'float' },\n { sampleType: 'float' },\n ],\n // Multiple bindgroups that accord to the layout defined above\n [\n [\n sampler,\n woodAlbedoTexture.createView(),\n spiralNormalTexture.createView(),\n spiralHeightTexture.createView(),\n ],\n [\n sampler,\n woodAlbedoTexture.createView(),\n toyboxNormalTexture.createView(),\n toyboxHeightTexture.createView(),\n ],\n [\n sampler,\n brickwallAlbedoTexture.createView(),\n brickwallNormalTexture.createView(),\n brickwallHeightTexture.createView(),\n ],\n ],\n 'Surface',\n device\n);\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective(\n (2 * Math.PI) / 5,\n aspect,\n 0.1,\n 10.0\n) as Float32Array;\n\nfunction getViewMatrix() {\n return mat4.lookAt(\n [settings.cameraPosX, settings.cameraPosY, settings.cameraPosZ],\n [0, 0, 0],\n [0, 1, 0]\n );\n}\n\nfunction getModelMatrix() {\n const modelMatrix = mat4.create();\n mat4.identity(modelMatrix);\n const now = Date.now() / 1000;\n mat4.rotateY(modelMatrix, now * -0.5, modelMatrix);\n return modelMatrix;\n}\n\n// Change the model mapping type\nconst getMode = (): number => {\n switch (settings['Bump Mode']) {\n case 'Albedo Texture':\n return 0;\n case 'Normal Texture':\n return 1;\n case 'Depth Texture':\n return 2;\n case 'Normal Map':\n return 3;\n case 'Parallax Scale':\n return 4;\n case 'Steep Parallax':\n return 5;\n }\n};\n\nconst texturedCubePipeline = create3DRenderPipeline(\n device,\n 'NormalMappingRender',\n [frameBGDescriptor.bindGroupLayout, surfaceBGDescriptor.bindGroupLayout],\n normalMapWGSL,\n // Position, normal uv tangent bitangent\n ['float32x3', 'float32x3', 'float32x2', 'float32x3', 'float32x3'],\n normalMapWGSL,\n presentationFormat,\n true\n);\n\nlet currentSurfaceBindGroup = 0;\nconst onChangeTexture = () => {\n currentSurfaceBindGroup = TextureAtlas[settings.Texture];\n};\n\nconst gui = new GUI();\ngui.add(settings, 'Bump Mode', [\n 'Albedo Texture',\n 'Normal Texture',\n 'Depth Texture',\n 'Normal Map',\n 'Parallax Scale',\n 'Steep Parallax',\n]);\ngui\n .add(settings, 'Texture', ['Spiral', 'Toybox', 'BrickWall'])\n .onChange(onChangeTexture);\nconst lightFolder = gui.addFolder('Light');\nconst depthFolder = gui.addFolder('Depth');\nlightFolder.add(settings, 'Reset Light').onChange(() => {\n lightPosXController.setValue(1.7);\n lightPosYController.setValue(0.7);\n lightPosZController.setValue(-1.9);\n lightIntensityController.setValue(5.0);\n});\nconst lightPosXController = lightFolder\n .add(settings, 'lightPosX', -5, 5)\n .step(0.1);\nconst lightPosYController = lightFolder\n .add(settings, 'lightPosY', -5, 5)\n .step(0.1);\nconst lightPosZController = lightFolder\n .add(settings, 'lightPosZ', -5, 5)\n .step(0.1);\nconst lightIntensityController = lightFolder\n .add(settings, 'lightIntensity', 0.0, 10)\n .step(0.1);\ndepthFolder.add(settings, 'depthScale', 0.0, 0.1).step(0.01);\ndepthFolder.add(settings, 'depthLayers', 1, 32).step(1);\n\nfunction frame() {\n // Update spaceTransformsBuffer\n const viewMatrix = getViewMatrix();\n const worldViewMatrix = mat4.mul(viewMatrix, getModelMatrix());\n const worldViewProjMatrix = mat4.mul(projectionMatrix, worldViewMatrix);\n const matrices = new Float32Array([\n ...worldViewProjMatrix,\n ...worldViewMatrix,\n ]);\n\n // Update mapInfoBuffer\n const lightPosWS = vec3.create(\n settings.lightPosX,\n settings.lightPosY,\n settings.lightPosZ\n );\n const lightPosVS = vec3.transformMat4(lightPosWS, viewMatrix);\n const mode = getMode();\n device.queue.writeBuffer(\n spaceTransformsBuffer,\n 0,\n matrices.buffer,\n matrices.byteOffset,\n matrices.byteLength\n );\n\n // struct MapInfo {\n // lightPosVS: vec3f,\n // mode: u32,\n // lightIntensity: f32,\n // depthScale: f32,\n // depthLayers: f32,\n // }\n mapInfoView.setFloat32(0, lightPosVS[0], true);\n mapInfoView.setFloat32(4, lightPosVS[1], true);\n mapInfoView.setFloat32(8, lightPosVS[2], true);\n mapInfoView.setUint32(12, mode, true);\n mapInfoView.setFloat32(16, settings.lightIntensity, true);\n mapInfoView.setFloat32(20, settings.depthScale, true);\n mapInfoView.setFloat32(24, settings.depthLayers, true);\n device.queue.writeBuffer(mapInfoBuffer, 0, mapInfoArray);\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n // Draw textured Cube\n passEncoder.setPipeline(texturedCubePipeline);\n passEncoder.setBindGroup(0, frameBGDescriptor.bindGroups[0]);\n passEncoder.setBindGroup(\n 1,\n surfaceBGDescriptor.bindGroups[currentSurfaceBindGroup]\n );\n passEncoder.setVertexBuffer(0, box.vertexBuffer);\n passEncoder.setIndexBuffer(box.indexBuffer, 'uint16');\n passEncoder.drawIndexed(box.indexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../meshes/mesh.ts","../../../../../meshes/box.ts","../../../../../sample/normalMap/utils.ts","../../../../../sample/normalMap/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { vec3, vec2 } from 'wgpu-matrix';\n\n// Defines what to pass to pipeline to render mesh\nexport interface Renderable {\n vertexBuffer: GPUBuffer;\n indexBuffer: GPUBuffer;\n indexCount: number;\n bindGroup?: GPUBindGroup;\n}\n\nexport interface Mesh {\n vertices: Float32Array;\n indices: Uint16Array | Uint32Array;\n vertexStride: number;\n}\n\n/**\n * @param {GPUDevice} device - A valid GPUDevice.\n * @param {Mesh} mesh - An indexed triangle-list mesh, containing its vertices, indices, and vertexStride (number of elements per vertex).\n * @param {boolean} storeVertices - A boolean flag indicating whether the vertexBuffer should be available to use as a storage buffer.\n * @returns {boolean} An object containing an array of bindGroups and the bindGroupLayout they implement.\n */\nexport const createMeshRenderable = (\n device: GPUDevice,\n mesh: Mesh,\n storeVertices = false,\n storeIndices = false\n): Renderable => {\n // Define buffer usage\n const vertexBufferUsage = storeVertices\n ? GPUBufferUsage.VERTEX | GPUBufferUsage.STORAGE\n : GPUBufferUsage.VERTEX;\n const indexBufferUsage = storeIndices\n ? GPUBufferUsage.INDEX | GPUBufferUsage.STORAGE\n : GPUBufferUsage.INDEX;\n\n // Create vertex and index buffers\n const vertexBuffer = device.createBuffer({\n size: mesh.vertices.byteLength,\n usage: vertexBufferUsage,\n mappedAtCreation: true,\n });\n new Float32Array(vertexBuffer.getMappedRange()).set(mesh.vertices);\n vertexBuffer.unmap();\n\n const indexBuffer = device.createBuffer({\n size: mesh.indices.byteLength,\n usage: indexBufferUsage,\n mappedAtCreation: true,\n });\n\n // Determine whether index buffer is indices are in uint16 or uint32 format\n if (\n mesh.indices.byteLength ===\n mesh.indices.length * Uint16Array.BYTES_PER_ELEMENT\n ) {\n new Uint16Array(indexBuffer.getMappedRange()).set(mesh.indices);\n } else {\n new Uint32Array(indexBuffer.getMappedRange()).set(mesh.indices);\n }\n\n indexBuffer.unmap();\n\n return {\n vertexBuffer,\n indexBuffer,\n indexCount: mesh.indices.length,\n };\n};\n\nexport const getMeshPosAtIndex = (mesh: Mesh, index: number) => {\n const arr = new Float32Array(\n mesh.vertices.buffer,\n index * mesh.vertexStride + 0,\n 3\n );\n return vec3.fromValues(arr[0], arr[1], arr[2]);\n};\n\nexport const getMeshNormalAtIndex = (mesh: Mesh, index: number) => {\n const arr = new Float32Array(\n mesh.vertices.buffer,\n index * mesh.vertexStride + 3 * Float32Array.BYTES_PER_ELEMENT,\n 3\n );\n return vec3.fromValues(arr[0], arr[1], arr[2]);\n};\n\nexport const getMeshUVAtIndex = (mesh: Mesh, index: number) => {\n const arr = new Float32Array(\n mesh.vertices.buffer,\n index * mesh.vertexStride + 6 * Float32Array.BYTES_PER_ELEMENT,\n 2\n );\n return vec2.fromValues(arr[0], arr[1]);\n};\n","import { Mesh } from './mesh';\n\n/**\n * Constructs a box mesh with the given dimensions.\n * The vertex buffer will have the following vertex fields (in the given order):\n * position : float32x3\n * normal : float32x3\n * uv : float32x2\n * tangent : float32x3\n * bitangent : float32x3\n * @param width the width of the box\n * @param height the height of the box\n * @param depth the depth of the box\n * @returns the box mesh with tangent and bitangents.\n */\nexport function createBoxMeshWithTangents(\n width: number,\n height: number,\n depth: number\n): Mesh {\n // __________\n // / /| y\n // / +y / | ^\n // /_________/ | |\n // | |+x| +---> x\n // | +z | | /\n // | | / z\n // |_________|/\n //\n const pX = 0; // +x\n const nX = 1; // -x\n const pY = 2; // +y\n const nY = 3; // -y\n const pZ = 4; // +z\n const nZ = 5; // -z\n const faces = [\n { tangent: nZ, bitangent: pY, normal: pX },\n { tangent: pZ, bitangent: pY, normal: nX },\n { tangent: pX, bitangent: nZ, normal: pY },\n { tangent: pX, bitangent: pZ, normal: nY },\n { tangent: pX, bitangent: pY, normal: pZ },\n { tangent: nX, bitangent: pY, normal: nZ },\n ];\n const verticesPerSide = 4;\n const indicesPerSize = 6;\n const f32sPerVertex = 14; // position : vec3f, tangent : vec3f, bitangent : vec3f, normal : vec3f, uv :vec2f\n const vertexStride = f32sPerVertex * 4;\n const vertices = new Float32Array(\n faces.length * verticesPerSide * f32sPerVertex\n );\n const indices = new Uint16Array(faces.length * indicesPerSize);\n const halfVecs = [\n [+width / 2, 0, 0], // +x\n [-width / 2, 0, 0], // -x\n [0, +height / 2, 0], // +y\n [0, -height / 2, 0], // -y\n [0, 0, +depth / 2], // +z\n [0, 0, -depth / 2], // -z\n ];\n\n let vertexOffset = 0;\n let indexOffset = 0;\n for (let faceIndex = 0; faceIndex < faces.length; faceIndex++) {\n const face = faces[faceIndex];\n const tangent = halfVecs[face.tangent];\n const bitangent = halfVecs[face.bitangent];\n const normal = halfVecs[face.normal];\n\n for (let u = 0; u < 2; u++) {\n for (let v = 0; v < 2; v++) {\n for (let i = 0; i < 3; i++) {\n vertices[vertexOffset++] =\n normal[i] +\n (u == 0 ? -1 : 1) * tangent[i] +\n (v == 0 ? -1 : 1) * bitangent[i];\n }\n for (let i = 0; i < 3; i++) {\n vertices[vertexOffset++] = normal[i];\n }\n vertices[vertexOffset++] = u;\n vertices[vertexOffset++] = v;\n for (let i = 0; i < 3; i++) {\n vertices[vertexOffset++] = tangent[i];\n }\n for (let i = 0; i < 3; i++) {\n vertices[vertexOffset++] = bitangent[i];\n }\n }\n }\n\n indices[indexOffset++] = faceIndex * verticesPerSide + 0;\n indices[indexOffset++] = faceIndex * verticesPerSide + 2;\n indices[indexOffset++] = faceIndex * verticesPerSide + 1;\n\n indices[indexOffset++] = faceIndex * verticesPerSide + 2;\n indices[indexOffset++] = faceIndex * verticesPerSide + 3;\n indices[indexOffset++] = faceIndex * verticesPerSide + 1;\n }\n\n return {\n vertices,\n indices,\n vertexStride,\n };\n}\n","type BindGroupBindingLayout =\n | GPUBufferBindingLayout\n | GPUTextureBindingLayout\n | GPUSamplerBindingLayout\n | GPUStorageTextureBindingLayout\n | GPUExternalTextureBindingLayout;\n\nexport type BindGroupsObjectsAndLayout = {\n bindGroups: GPUBindGroup[];\n bindGroupLayout: GPUBindGroupLayout;\n};\n\ntype ResourceTypeName =\n | 'buffer'\n | 'texture'\n | 'sampler'\n | 'externalTexture'\n | 'storageTexture';\n\n/**\n * @param {number[]} bindings - The binding value of each resource in the bind group.\n * @param {number[]} visibilities - The GPUShaderStage visibility of the resource at the corresponding index.\n * @param {ResourceTypeName[]} resourceTypes - The resourceType at the corresponding index.\n * @returns {BindGroupsObjectsAndLayout} An object containing an array of bindGroups and the bindGroupLayout they implement.\n */\nexport const createBindGroupDescriptor = (\n bindings: number[],\n visibilities: number[],\n resourceTypes: ResourceTypeName[],\n resourceLayouts: BindGroupBindingLayout[],\n resources: GPUBindingResource[][],\n label: string,\n device: GPUDevice\n): BindGroupsObjectsAndLayout => {\n // Create layout of each entry within a bindGroup\n const layoutEntries: GPUBindGroupLayoutEntry[] = [];\n for (let i = 0; i < bindings.length; i++) {\n layoutEntries.push({\n binding: bindings[i],\n visibility: visibilities[i % visibilities.length],\n [resourceTypes[i]]: resourceLayouts[i],\n });\n }\n\n // Apply entry layouts to bindGroupLayout\n const bindGroupLayout = device.createBindGroupLayout({\n label: `${label}.bindGroupLayout`,\n entries: layoutEntries,\n });\n\n // Create bindGroups that conform to the layout\n const bindGroups: GPUBindGroup[] = [];\n for (let i = 0; i < resources.length; i++) {\n const groupEntries: GPUBindGroupEntry[] = [];\n for (let j = 0; j < resources[0].length; j++) {\n groupEntries.push({\n binding: j,\n resource: resources[i][j],\n });\n }\n const newBindGroup = device.createBindGroup({\n label: `${label}.bindGroup${i}`,\n layout: bindGroupLayout,\n entries: groupEntries,\n });\n bindGroups.push(newBindGroup);\n }\n\n return {\n bindGroups,\n bindGroupLayout,\n };\n};\n\nexport type ShaderKeyInterface = {\n [K in T[number]]: number;\n};\n\ninterface AttribAcc {\n attributes: GPUVertexAttribute[];\n arrayStride: number;\n}\n\n/**\n * @param {GPUVertexFormat} vf - A valid GPUVertexFormat, representing a per-vertex value that can be passed to the vertex shader.\n * @returns {number} The number of bytes present in the value to be passed.\n */\nexport const convertVertexFormatToBytes = (vf: GPUVertexFormat): number => {\n const splitFormat = vf.split('x');\n const bytesPerElement = parseInt(splitFormat[0].replace(/[^0-9]/g, '')) / 8;\n\n const bytesPerVec =\n bytesPerElement *\n (splitFormat[1] !== undefined ? parseInt(splitFormat[1]) : 1);\n\n return bytesPerVec;\n};\n\n/** Creates a GPUVertexBuffer Layout that maps to an interleaved vertex buffer.\n * @param {GPUVertexFormat[]} vertexFormats - An array of valid GPUVertexFormats.\n * @returns {GPUVertexBufferLayout} A GPUVertexBufferLayout representing an interleaved vertex buffer.\n */\nexport const createVBuffer = (\n vertexFormats: GPUVertexFormat[]\n): GPUVertexBufferLayout => {\n const initialValue: AttribAcc = { attributes: [], arrayStride: 0 };\n\n const vertexBuffer = vertexFormats.reduce(\n (acc: AttribAcc, curr: GPUVertexFormat, idx: number) => {\n const newAttribute: GPUVertexAttribute = {\n shaderLocation: idx,\n offset: acc.arrayStride,\n format: curr,\n };\n const nextOffset: number =\n acc.arrayStride + convertVertexFormatToBytes(curr);\n\n const retVal: AttribAcc = {\n attributes: [...acc.attributes, newAttribute],\n arrayStride: nextOffset,\n };\n return retVal;\n },\n initialValue\n );\n\n const layout: GPUVertexBufferLayout = {\n arrayStride: vertexBuffer.arrayStride,\n attributes: vertexBuffer.attributes,\n };\n\n return layout;\n};\n\nexport const create3DRenderPipeline = (\n device: GPUDevice,\n label: string,\n bgLayouts: GPUBindGroupLayout[],\n vertexShader: string,\n vBufferFormats: GPUVertexFormat[],\n fragmentShader: string,\n presentationFormat: GPUTextureFormat,\n depthTest = false,\n topology: GPUPrimitiveTopology = 'triangle-list',\n cullMode: GPUCullMode = 'back'\n) => {\n const pipelineDescriptor: GPURenderPipelineDescriptor = {\n label: `${label}.pipeline`,\n layout: device.createPipelineLayout({\n label: `${label}.pipelineLayout`,\n bindGroupLayouts: bgLayouts,\n }),\n vertex: {\n module: device.createShaderModule({\n label: `${label}.vertexShader`,\n code: vertexShader,\n }),\n buffers:\n vBufferFormats.length !== 0 ? [createVBuffer(vBufferFormats)] : [],\n },\n fragment: {\n module: device.createShaderModule({\n label: `${label}.fragmentShader`,\n code: fragmentShader,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: topology,\n cullMode: cullMode,\n },\n };\n if (depthTest) {\n pipelineDescriptor.depthStencil = {\n depthCompare: 'less',\n depthWriteEnabled: true,\n format: 'depth24plus',\n };\n }\n return device.createRenderPipeline(pipelineDescriptor);\n};\n\nexport const createTextureFromImage = (\n device: GPUDevice,\n bitmap: ImageBitmap\n) => {\n const texture: GPUTexture = device.createTexture({\n size: [bitmap.width, bitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: bitmap },\n { texture: texture },\n [bitmap.width, bitmap.height]\n );\n return texture;\n};\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport normalMapWGSL from './normalMap.wgsl';\nimport { createMeshRenderable } from '../../meshes/mesh';\nimport { createBoxMeshWithTangents } from '../../meshes/box';\nimport {\n createBindGroupDescriptor,\n create3DRenderPipeline,\n createTextureFromImage,\n} from './utils';\n\nconst MAT4X4_BYTES = 64;\nenum TextureAtlas {\n Spiral,\n Toybox,\n BrickWall,\n}\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\ninterface GUISettings {\n 'Bump Mode':\n | 'Albedo Texture'\n | 'Normal Texture'\n | 'Depth Texture'\n | 'Normal Map'\n | 'Parallax Scale'\n | 'Steep Parallax';\n cameraPosX: number;\n cameraPosY: number;\n cameraPosZ: number;\n lightPosX: number;\n lightPosY: number;\n lightPosZ: number;\n lightIntensity: number;\n depthScale: number;\n depthLayers: number;\n Texture: string;\n 'Reset Light': () => void;\n}\n\nconst settings: GUISettings = {\n 'Bump Mode': 'Normal Map',\n cameraPosX: 0.0,\n cameraPosY: 0.8,\n cameraPosZ: -1.4,\n lightPosX: 1.7,\n lightPosY: 0.7,\n lightPosZ: -1.9,\n lightIntensity: 5.0,\n depthScale: 0.05,\n depthLayers: 16,\n Texture: 'Spiral',\n 'Reset Light': () => {\n return;\n },\n};\n\n// Create normal mapping resources and pipeline\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst spaceTransformsBuffer = device.createBuffer({\n // Buffer holding projection, view, and model matrices plus padding bytes\n size: MAT4X4_BYTES * 4,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst mapInfoBuffer = device.createBuffer({\n // Buffer holding mapping type, light uniforms, and depth uniforms\n size: Float32Array.BYTES_PER_ELEMENT * 8,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst mapInfoArray = new ArrayBuffer(mapInfoBuffer.size);\nconst mapInfoView = new DataView(mapInfoArray, 0, mapInfoArray.byteLength);\n\n// Fetch the image and upload it into a GPUTexture.\nlet woodAlbedoTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/wood_albedo.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n woodAlbedoTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet spiralNormalTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/spiral_normal.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n spiralNormalTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet spiralHeightTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/spiral_height.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n spiralHeightTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet toyboxNormalTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/toybox_normal.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n toyboxNormalTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet toyboxHeightTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/toybox_height.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n toyboxHeightTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet brickwallAlbedoTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/brickwall_albedo.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n brickwallAlbedoTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet brickwallNormalTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/brickwall_normal.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n brickwallNormalTexture = createTextureFromImage(device, imageBitmap);\n}\n\nlet brickwallHeightTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/brickwall_height.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n brickwallHeightTexture = createTextureFromImage(device, imageBitmap);\n}\n\n// Create a sampler with linear filtering for smooth interpolation.\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst box = createMeshRenderable(\n device,\n createBoxMeshWithTangents(1.0, 1.0, 1.0)\n);\n\n// Uniform bindGroups and bindGroupLayout\nconst frameBGDescriptor = createBindGroupDescriptor(\n [0, 1],\n [\n GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n GPUShaderStage.FRAGMENT | GPUShaderStage.VERTEX,\n ],\n ['buffer', 'buffer'],\n [{ type: 'uniform' }, { type: 'uniform' }],\n [[{ buffer: spaceTransformsBuffer }, { buffer: mapInfoBuffer }]],\n 'Frame',\n device\n);\n\n// Texture bindGroups and bindGroupLayout\nconst surfaceBGDescriptor = createBindGroupDescriptor(\n [0, 1, 2, 3],\n [GPUShaderStage.FRAGMENT],\n ['sampler', 'texture', 'texture', 'texture'],\n [\n { type: 'filtering' },\n { sampleType: 'float' },\n { sampleType: 'float' },\n { sampleType: 'float' },\n ],\n // Multiple bindgroups that accord to the layout defined above\n [\n [\n sampler,\n woodAlbedoTexture.createView(),\n spiralNormalTexture.createView(),\n spiralHeightTexture.createView(),\n ],\n [\n sampler,\n woodAlbedoTexture.createView(),\n toyboxNormalTexture.createView(),\n toyboxHeightTexture.createView(),\n ],\n [\n sampler,\n brickwallAlbedoTexture.createView(),\n brickwallNormalTexture.createView(),\n brickwallHeightTexture.createView(),\n ],\n ],\n 'Surface',\n device\n);\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 0.1, 10.0);\n\nfunction getViewMatrix() {\n return mat4.lookAt(\n [settings.cameraPosX, settings.cameraPosY, settings.cameraPosZ],\n [0, 0, 0],\n [0, 1, 0]\n );\n}\n\nfunction getModelMatrix() {\n const modelMatrix = mat4.create();\n mat4.identity(modelMatrix);\n const now = Date.now() / 1000;\n mat4.rotateY(modelMatrix, now * -0.5, modelMatrix);\n return modelMatrix;\n}\n\n// Change the model mapping type\nconst getMode = (): number => {\n switch (settings['Bump Mode']) {\n case 'Albedo Texture':\n return 0;\n case 'Normal Texture':\n return 1;\n case 'Depth Texture':\n return 2;\n case 'Normal Map':\n return 3;\n case 'Parallax Scale':\n return 4;\n case 'Steep Parallax':\n return 5;\n }\n};\n\nconst texturedCubePipeline = create3DRenderPipeline(\n device,\n 'NormalMappingRender',\n [frameBGDescriptor.bindGroupLayout, surfaceBGDescriptor.bindGroupLayout],\n normalMapWGSL,\n // Position, normal uv tangent bitangent\n ['float32x3', 'float32x3', 'float32x2', 'float32x3', 'float32x3'],\n normalMapWGSL,\n presentationFormat,\n true\n);\n\nlet currentSurfaceBindGroup = 0;\nconst onChangeTexture = () => {\n currentSurfaceBindGroup = TextureAtlas[settings.Texture];\n};\n\nconst gui = new GUI();\ngui.add(settings, 'Bump Mode', [\n 'Albedo Texture',\n 'Normal Texture',\n 'Depth Texture',\n 'Normal Map',\n 'Parallax Scale',\n 'Steep Parallax',\n]);\ngui\n .add(settings, 'Texture', ['Spiral', 'Toybox', 'BrickWall'])\n .onChange(onChangeTexture);\nconst lightFolder = gui.addFolder('Light');\nconst depthFolder = gui.addFolder('Depth');\nlightFolder.add(settings, 'Reset Light').onChange(() => {\n lightPosXController.setValue(1.7);\n lightPosYController.setValue(0.7);\n lightPosZController.setValue(-1.9);\n lightIntensityController.setValue(5.0);\n});\nconst lightPosXController = lightFolder\n .add(settings, 'lightPosX', -5, 5)\n .step(0.1);\nconst lightPosYController = lightFolder\n .add(settings, 'lightPosY', -5, 5)\n .step(0.1);\nconst lightPosZController = lightFolder\n .add(settings, 'lightPosZ', -5, 5)\n .step(0.1);\nconst lightIntensityController = lightFolder\n .add(settings, 'lightIntensity', 0.0, 10)\n .step(0.1);\ndepthFolder.add(settings, 'depthScale', 0.0, 0.1).step(0.01);\ndepthFolder.add(settings, 'depthLayers', 1, 32).step(1);\n\nfunction frame() {\n // Update spaceTransformsBuffer\n const viewMatrix = getViewMatrix();\n const worldViewMatrix = mat4.mul(viewMatrix, getModelMatrix());\n const worldViewProjMatrix = mat4.mul(projectionMatrix, worldViewMatrix);\n const matrices = new Float32Array([\n ...worldViewProjMatrix,\n ...worldViewMatrix,\n ]);\n\n // Update mapInfoBuffer\n const lightPosWS = vec3.create(\n settings.lightPosX,\n settings.lightPosY,\n settings.lightPosZ\n );\n const lightPosVS = vec3.transformMat4(lightPosWS, viewMatrix);\n const mode = getMode();\n device.queue.writeBuffer(\n spaceTransformsBuffer,\n 0,\n matrices.buffer,\n matrices.byteOffset,\n matrices.byteLength\n );\n\n // struct MapInfo {\n // lightPosVS: vec3f,\n // mode: u32,\n // lightIntensity: f32,\n // depthScale: f32,\n // depthLayers: f32,\n // }\n mapInfoView.setFloat32(0, lightPosVS[0], true);\n mapInfoView.setFloat32(4, lightPosVS[1], true);\n mapInfoView.setFloat32(8, lightPosVS[2], true);\n mapInfoView.setUint32(12, mode, true);\n mapInfoView.setFloat32(16, settings.lightIntensity, true);\n mapInfoView.setFloat32(20, settings.depthScale, true);\n mapInfoView.setFloat32(24, settings.depthLayers, true);\n device.queue.writeBuffer(mapInfoBuffer, 0, mapInfoArray);\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n // Draw textured Cube\n passEncoder.setPipeline(texturedCubePipeline);\n passEncoder.setBindGroup(0, frameBGDescriptor.bindGroups[0]);\n passEncoder.setBindGroup(\n 1,\n surfaceBGDescriptor.bindGroups[currentSurfaceBindGroup]\n );\n passEncoder.setVertexBuffer(0, box.vertexBuffer);\n passEncoder.setIndexBuffer(box.indexBuffer, 'uint16');\n passEncoder.drawIndexed(box.indexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/normalMap/main.ts b/sample/normalMap/main.ts index f6b5398f..fe4f8189 100644 --- a/sample/normalMap/main.ts +++ b/sample/normalMap/main.ts @@ -227,12 +227,7 @@ const surfaceBGDescriptor = createBindGroupDescriptor( ); const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4.perspective( - (2 * Math.PI) / 5, - aspect, - 0.1, - 10.0 -) as Float32Array; +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 0.1, 10.0); function getViewMatrix() { return mat4.lookAt( diff --git a/sample/particles/main.js b/sample/particles/main.js index c1feeaf9..70fcb8f7 100644 --- a/sample/particles/main.js +++ b/sample/particles/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * + * Generates am typed API for Vec3 */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); } - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +744,4747 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Transforms vec3 by 3x3 matrix + +/* + * Copyright 2022 Gregg Tavares * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} /** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } } - return copy$3(a, dst); + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. - * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. + * Vec4 math functions. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -5539,9 +8499,9 @@ const computeBindGroup = device.createBindGroup({ ], }); const aspect = canvas.width / canvas.height; -const projection = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); -const view = mat4Impl.create(); -const mvp = mat4Impl.create(); +const projection = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); +const view = mat4.create(); +const mvp = mat4.create(); function frame() { device.queue.writeBuffer(simulationUBOBuffer, 0, new Float32Array([ simulationParams.simulate ? simulationParams.deltaTime : 0.0, @@ -5553,10 +8513,10 @@ function frame() { 1 + Math.random(), 1 + Math.random(), // seed.zw ])); - mat4Impl.identity(view); - mat4Impl.translate(view, vec3Impl.fromValues(0, 0, -3), view); - mat4Impl.rotateX(view, Math.PI * -0.2, view); - mat4Impl.multiply(projection, view, mvp); + mat4.identity(view); + mat4.translate(view, vec3.fromValues(0, 0, -3), view); + mat4.rotateX(view, Math.PI * -0.2, view); + mat4.multiply(projection, view, mvp); // prettier-ignore device.queue.writeBuffer(uniformBuffer, 0, new Float32Array([ // modelViewProjectionMatrix diff --git a/sample/particles/main.js.map b/sample/particles/main.js.map index 9dc59b3f..b17c709f 100644 --- a/sample/particles/main.js.map +++ b/sample/particles/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/particles/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport particleWGSL from './particle.wgsl';\nimport probabilityMapWGSL from './probabilityMap.wgsl';\n\nconst numParticles = 50000;\nconst particlePositionOffset = 0;\nconst particleColorOffset = 4 * 4;\nconst particleInstanceByteSize =\n 3 * 4 + // position\n 1 * 4 + // lifetime\n 4 * 4 + // color\n 3 * 4 + // velocity\n 1 * 4 + // padding\n 0;\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst particlesBuffer = device.createBuffer({\n size: numParticles * particleInstanceByteSize,\n usage: GPUBufferUsage.VERTEX | GPUBufferUsage.STORAGE,\n});\n\nconst renderPipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: particleWGSL,\n }),\n buffers: [\n {\n // instanced particles buffer\n arrayStride: particleInstanceByteSize,\n stepMode: 'instance',\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: particlePositionOffset,\n format: 'float32x3',\n },\n {\n // color\n shaderLocation: 1,\n offset: particleColorOffset,\n format: 'float32x4',\n },\n ],\n },\n {\n // quad vertex buffer\n arrayStride: 2 * 4, // vec2f\n stepMode: 'vertex',\n attributes: [\n {\n // vertex positions\n shaderLocation: 2,\n offset: 0,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: particleWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n blend: {\n color: {\n srcFactor: 'src-alpha',\n dstFactor: 'one',\n operation: 'add',\n },\n alpha: {\n srcFactor: 'zero',\n dstFactor: 'one',\n operation: 'add',\n },\n },\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n\n depthStencil: {\n depthWriteEnabled: false,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize =\n 4 * 4 * 4 + // modelViewProjectionMatrix : mat4x4f\n 3 * 4 + // right : vec3f\n 4 + // padding\n 3 * 4 + // up : vec3f\n 4 + // padding\n 0;\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: renderPipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\n//////////////////////////////////////////////////////////////////////////////\n// Quad vertex buffer\n//////////////////////////////////////////////////////////////////////////////\nconst quadVertexBuffer = device.createBuffer({\n size: 6 * 2 * 4, // 6x vec2f\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\n// prettier-ignore\nconst vertexData = [\n -1.0, -1.0, +1.0, -1.0, -1.0, +1.0, -1.0, +1.0, +1.0, -1.0, +1.0, +1.0,\n];\nnew Float32Array(quadVertexBuffer.getMappedRange()).set(vertexData);\nquadVertexBuffer.unmap();\n\n//////////////////////////////////////////////////////////////////////////////\n// Texture\n//////////////////////////////////////////////////////////////////////////////\nlet texture: GPUTexture;\nlet textureWidth = 1;\nlet textureHeight = 1;\nlet numMipLevels = 1;\n{\n const response = await fetch('../../assets/img/webgpu.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n // Calculate number of mip levels required to generate the probability map\n while (\n textureWidth < imageBitmap.width ||\n textureHeight < imageBitmap.height\n ) {\n textureWidth *= 2;\n textureHeight *= 2;\n numMipLevels++;\n }\n texture = device.createTexture({\n size: [imageBitmap.width, imageBitmap.height, 1],\n mipLevelCount: numMipLevels,\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.STORAGE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: texture },\n [imageBitmap.width, imageBitmap.height]\n );\n}\n\n//////////////////////////////////////////////////////////////////////////////\n// Probability map generation\n// The 0'th mip level of texture holds the color data and spawn-probability in\n// the alpha channel. The mip levels 1..N are generated to hold spawn\n// probabilities up to the top 1x1 mip level.\n//////////////////////////////////////////////////////////////////////////////\n{\n const probabilityMapImportLevelPipeline = device.createComputePipeline({\n layout: 'auto',\n compute: {\n module: device.createShaderModule({ code: probabilityMapWGSL }),\n entryPoint: 'import_level',\n },\n });\n const probabilityMapExportLevelPipeline = device.createComputePipeline({\n layout: 'auto',\n compute: {\n module: device.createShaderModule({ code: probabilityMapWGSL }),\n entryPoint: 'export_level',\n },\n });\n\n const probabilityMapUBOBufferSize =\n 1 * 4 + // stride\n 3 * 4 + // padding\n 0;\n const probabilityMapUBOBuffer = device.createBuffer({\n size: probabilityMapUBOBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n const buffer_a = device.createBuffer({\n size: textureWidth * textureHeight * 4,\n usage: GPUBufferUsage.STORAGE,\n });\n const buffer_b = device.createBuffer({\n size: textureWidth * textureHeight * 4,\n usage: GPUBufferUsage.STORAGE,\n });\n device.queue.writeBuffer(\n probabilityMapUBOBuffer,\n 0,\n new Int32Array([textureWidth])\n );\n const commandEncoder = device.createCommandEncoder();\n for (let level = 0; level < numMipLevels; level++) {\n const levelWidth = textureWidth >> level;\n const levelHeight = textureHeight >> level;\n const pipeline =\n level == 0\n ? probabilityMapImportLevelPipeline.getBindGroupLayout(0)\n : probabilityMapExportLevelPipeline.getBindGroupLayout(0);\n const probabilityMapBindGroup = device.createBindGroup({\n layout: pipeline,\n entries: [\n {\n // ubo\n binding: 0,\n resource: { buffer: probabilityMapUBOBuffer },\n },\n {\n // buf_in\n binding: 1,\n resource: { buffer: level & 1 ? buffer_a : buffer_b },\n },\n {\n // buf_out\n binding: 2,\n resource: { buffer: level & 1 ? buffer_b : buffer_a },\n },\n {\n // tex_in / tex_out\n binding: 3,\n resource: texture.createView({\n format: 'rgba8unorm',\n dimension: '2d',\n baseMipLevel: level,\n mipLevelCount: 1,\n }),\n },\n ],\n });\n if (level == 0) {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setPipeline(probabilityMapImportLevelPipeline);\n passEncoder.setBindGroup(0, probabilityMapBindGroup);\n passEncoder.dispatchWorkgroups(Math.ceil(levelWidth / 64), levelHeight);\n passEncoder.end();\n } else {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setPipeline(probabilityMapExportLevelPipeline);\n passEncoder.setBindGroup(0, probabilityMapBindGroup);\n passEncoder.dispatchWorkgroups(Math.ceil(levelWidth / 64), levelHeight);\n passEncoder.end();\n }\n }\n device.queue.submit([commandEncoder.finish()]);\n}\n\n//////////////////////////////////////////////////////////////////////////////\n// Simulation compute pipeline\n//////////////////////////////////////////////////////////////////////////////\nconst simulationParams = {\n simulate: true,\n deltaTime: 0.04,\n};\n\nconst simulationUBOBufferSize =\n 1 * 4 + // deltaTime\n 3 * 4 + // padding\n 4 * 4 + // seed\n 0;\nconst simulationUBOBuffer = device.createBuffer({\n size: simulationUBOBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst gui = new GUI();\ngui.add(simulationParams, 'simulate');\ngui.add(simulationParams, 'deltaTime');\n\nconst computePipeline = device.createComputePipeline({\n layout: 'auto',\n compute: {\n module: device.createShaderModule({\n code: particleWGSL,\n }),\n entryPoint: 'simulate',\n },\n});\nconst computeBindGroup = device.createBindGroup({\n layout: computePipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: simulationUBOBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: particlesBuffer,\n offset: 0,\n size: numParticles * particleInstanceByteSize,\n },\n },\n {\n binding: 2,\n resource: texture.createView(),\n },\n ],\n});\n\nconst aspect = canvas.width / canvas.height;\nconst projection = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst view = mat4.create();\nconst mvp = mat4.create();\n\nfunction frame() {\n device.queue.writeBuffer(\n simulationUBOBuffer,\n 0,\n new Float32Array([\n simulationParams.simulate ? simulationParams.deltaTime : 0.0,\n 0.0,\n 0.0,\n 0.0, // padding\n Math.random() * 100,\n Math.random() * 100, // seed.xy\n 1 + Math.random(),\n 1 + Math.random(), // seed.zw\n ])\n );\n\n mat4.identity(view);\n mat4.translate(view, vec3.fromValues(0, 0, -3), view);\n mat4.rotateX(view, Math.PI * -0.2, view);\n mat4.multiply(projection, view, mvp);\n\n // prettier-ignore\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n new Float32Array([\n // modelViewProjectionMatrix\n mvp[0], mvp[1], mvp[2], mvp[3],\n mvp[4], mvp[5], mvp[6], mvp[7],\n mvp[8], mvp[9], mvp[10], mvp[11],\n mvp[12], mvp[13], mvp[14], mvp[15],\n\n view[0], view[4], view[8], // right\n\n 0, // padding\n\n view[1], view[5], view[9], // up\n\n 0, // padding\n ])\n );\n const swapChainTexture = context.getCurrentTexture();\n // prettier-ignore\n renderPassDescriptor.colorAttachments[0].view = swapChainTexture.createView();\n\n const commandEncoder = device.createCommandEncoder();\n {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setPipeline(computePipeline);\n passEncoder.setBindGroup(0, computeBindGroup);\n passEncoder.dispatchWorkgroups(Math.ceil(numParticles / 64));\n passEncoder.end();\n }\n {\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(renderPipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, particlesBuffer);\n passEncoder.setVertexBuffer(1, quadVertexBuffer);\n passEncoder.draw(6, numParticles, 0, 0);\n passEncoder.end();\n }\n\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/particles/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport particleWGSL from './particle.wgsl';\nimport probabilityMapWGSL from './probabilityMap.wgsl';\n\nconst numParticles = 50000;\nconst particlePositionOffset = 0;\nconst particleColorOffset = 4 * 4;\nconst particleInstanceByteSize =\n 3 * 4 + // position\n 1 * 4 + // lifetime\n 4 * 4 + // color\n 3 * 4 + // velocity\n 1 * 4 + // padding\n 0;\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst particlesBuffer = device.createBuffer({\n size: numParticles * particleInstanceByteSize,\n usage: GPUBufferUsage.VERTEX | GPUBufferUsage.STORAGE,\n});\n\nconst renderPipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: particleWGSL,\n }),\n buffers: [\n {\n // instanced particles buffer\n arrayStride: particleInstanceByteSize,\n stepMode: 'instance',\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: particlePositionOffset,\n format: 'float32x3',\n },\n {\n // color\n shaderLocation: 1,\n offset: particleColorOffset,\n format: 'float32x4',\n },\n ],\n },\n {\n // quad vertex buffer\n arrayStride: 2 * 4, // vec2f\n stepMode: 'vertex',\n attributes: [\n {\n // vertex positions\n shaderLocation: 2,\n offset: 0,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: particleWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n blend: {\n color: {\n srcFactor: 'src-alpha',\n dstFactor: 'one',\n operation: 'add',\n },\n alpha: {\n srcFactor: 'zero',\n dstFactor: 'one',\n operation: 'add',\n },\n },\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n\n depthStencil: {\n depthWriteEnabled: false,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize =\n 4 * 4 * 4 + // modelViewProjectionMatrix : mat4x4f\n 3 * 4 + // right : vec3f\n 4 + // padding\n 3 * 4 + // up : vec3f\n 4 + // padding\n 0;\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: renderPipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\n//////////////////////////////////////////////////////////////////////////////\n// Quad vertex buffer\n//////////////////////////////////////////////////////////////////////////////\nconst quadVertexBuffer = device.createBuffer({\n size: 6 * 2 * 4, // 6x vec2f\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\n// prettier-ignore\nconst vertexData = [\n -1.0, -1.0, +1.0, -1.0, -1.0, +1.0, -1.0, +1.0, +1.0, -1.0, +1.0, +1.0,\n];\nnew Float32Array(quadVertexBuffer.getMappedRange()).set(vertexData);\nquadVertexBuffer.unmap();\n\n//////////////////////////////////////////////////////////////////////////////\n// Texture\n//////////////////////////////////////////////////////////////////////////////\nlet texture: GPUTexture;\nlet textureWidth = 1;\nlet textureHeight = 1;\nlet numMipLevels = 1;\n{\n const response = await fetch('../../assets/img/webgpu.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n // Calculate number of mip levels required to generate the probability map\n while (\n textureWidth < imageBitmap.width ||\n textureHeight < imageBitmap.height\n ) {\n textureWidth *= 2;\n textureHeight *= 2;\n numMipLevels++;\n }\n texture = device.createTexture({\n size: [imageBitmap.width, imageBitmap.height, 1],\n mipLevelCount: numMipLevels,\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.STORAGE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: texture },\n [imageBitmap.width, imageBitmap.height]\n );\n}\n\n//////////////////////////////////////////////////////////////////////////////\n// Probability map generation\n// The 0'th mip level of texture holds the color data and spawn-probability in\n// the alpha channel. The mip levels 1..N are generated to hold spawn\n// probabilities up to the top 1x1 mip level.\n//////////////////////////////////////////////////////////////////////////////\n{\n const probabilityMapImportLevelPipeline = device.createComputePipeline({\n layout: 'auto',\n compute: {\n module: device.createShaderModule({ code: probabilityMapWGSL }),\n entryPoint: 'import_level',\n },\n });\n const probabilityMapExportLevelPipeline = device.createComputePipeline({\n layout: 'auto',\n compute: {\n module: device.createShaderModule({ code: probabilityMapWGSL }),\n entryPoint: 'export_level',\n },\n });\n\n const probabilityMapUBOBufferSize =\n 1 * 4 + // stride\n 3 * 4 + // padding\n 0;\n const probabilityMapUBOBuffer = device.createBuffer({\n size: probabilityMapUBOBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n const buffer_a = device.createBuffer({\n size: textureWidth * textureHeight * 4,\n usage: GPUBufferUsage.STORAGE,\n });\n const buffer_b = device.createBuffer({\n size: textureWidth * textureHeight * 4,\n usage: GPUBufferUsage.STORAGE,\n });\n device.queue.writeBuffer(\n probabilityMapUBOBuffer,\n 0,\n new Int32Array([textureWidth])\n );\n const commandEncoder = device.createCommandEncoder();\n for (let level = 0; level < numMipLevels; level++) {\n const levelWidth = textureWidth >> level;\n const levelHeight = textureHeight >> level;\n const pipeline =\n level == 0\n ? probabilityMapImportLevelPipeline.getBindGroupLayout(0)\n : probabilityMapExportLevelPipeline.getBindGroupLayout(0);\n const probabilityMapBindGroup = device.createBindGroup({\n layout: pipeline,\n entries: [\n {\n // ubo\n binding: 0,\n resource: { buffer: probabilityMapUBOBuffer },\n },\n {\n // buf_in\n binding: 1,\n resource: { buffer: level & 1 ? buffer_a : buffer_b },\n },\n {\n // buf_out\n binding: 2,\n resource: { buffer: level & 1 ? buffer_b : buffer_a },\n },\n {\n // tex_in / tex_out\n binding: 3,\n resource: texture.createView({\n format: 'rgba8unorm',\n dimension: '2d',\n baseMipLevel: level,\n mipLevelCount: 1,\n }),\n },\n ],\n });\n if (level == 0) {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setPipeline(probabilityMapImportLevelPipeline);\n passEncoder.setBindGroup(0, probabilityMapBindGroup);\n passEncoder.dispatchWorkgroups(Math.ceil(levelWidth / 64), levelHeight);\n passEncoder.end();\n } else {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setPipeline(probabilityMapExportLevelPipeline);\n passEncoder.setBindGroup(0, probabilityMapBindGroup);\n passEncoder.dispatchWorkgroups(Math.ceil(levelWidth / 64), levelHeight);\n passEncoder.end();\n }\n }\n device.queue.submit([commandEncoder.finish()]);\n}\n\n//////////////////////////////////////////////////////////////////////////////\n// Simulation compute pipeline\n//////////////////////////////////////////////////////////////////////////////\nconst simulationParams = {\n simulate: true,\n deltaTime: 0.04,\n};\n\nconst simulationUBOBufferSize =\n 1 * 4 + // deltaTime\n 3 * 4 + // padding\n 4 * 4 + // seed\n 0;\nconst simulationUBOBuffer = device.createBuffer({\n size: simulationUBOBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst gui = new GUI();\ngui.add(simulationParams, 'simulate');\ngui.add(simulationParams, 'deltaTime');\n\nconst computePipeline = device.createComputePipeline({\n layout: 'auto',\n compute: {\n module: device.createShaderModule({\n code: particleWGSL,\n }),\n entryPoint: 'simulate',\n },\n});\nconst computeBindGroup = device.createBindGroup({\n layout: computePipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: simulationUBOBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: particlesBuffer,\n offset: 0,\n size: numParticles * particleInstanceByteSize,\n },\n },\n {\n binding: 2,\n resource: texture.createView(),\n },\n ],\n});\n\nconst aspect = canvas.width / canvas.height;\nconst projection = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst view = mat4.create();\nconst mvp = mat4.create();\n\nfunction frame() {\n device.queue.writeBuffer(\n simulationUBOBuffer,\n 0,\n new Float32Array([\n simulationParams.simulate ? simulationParams.deltaTime : 0.0,\n 0.0,\n 0.0,\n 0.0, // padding\n Math.random() * 100,\n Math.random() * 100, // seed.xy\n 1 + Math.random(),\n 1 + Math.random(), // seed.zw\n ])\n );\n\n mat4.identity(view);\n mat4.translate(view, vec3.fromValues(0, 0, -3), view);\n mat4.rotateX(view, Math.PI * -0.2, view);\n mat4.multiply(projection, view, mvp);\n\n // prettier-ignore\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n new Float32Array([\n // modelViewProjectionMatrix\n mvp[0], mvp[1], mvp[2], mvp[3],\n mvp[4], mvp[5], mvp[6], mvp[7],\n mvp[8], mvp[9], mvp[10], mvp[11],\n mvp[12], mvp[13], mvp[14], mvp[15],\n\n view[0], view[4], view[8], // right\n\n 0, // padding\n\n view[1], view[5], view[9], // up\n\n 0, // padding\n ])\n );\n const swapChainTexture = context.getCurrentTexture();\n // prettier-ignore\n renderPassDescriptor.colorAttachments[0].view = swapChainTexture.createView();\n\n const commandEncoder = device.createCommandEncoder();\n {\n const passEncoder = commandEncoder.beginComputePass();\n passEncoder.setPipeline(computePipeline);\n passEncoder.setBindGroup(0, computeBindGroup);\n passEncoder.dispatchWorkgroups(Math.ceil(numParticles / 64));\n passEncoder.end();\n }\n {\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(renderPipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, particlesBuffer);\n passEncoder.setVertexBuffer(1, quadVertexBuffer);\n passEncoder.draw(6, numParticles, 0, 0);\n passEncoder.end();\n }\n\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/points/main.js b/sample/points/main.js index d6509a2b..be607b0d 100644 --- a/sample/points/main.js +++ b/sample/points/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,222 +54,2389 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let VecType$1 = Float32Array; /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; -} -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * 4x4 Matrix math math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this - * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix - * - * or - * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. +/* + * Copyright 2022 Gregg Tavares * - * It is always save to pass any matrix as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let MatType = Float32Array; /** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; +} + /** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in - * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. - */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } } } } @@ -275,1449 +2452,3039 @@ function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v1 } } } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Creates a 4-by-4 identity matrix. + +/* + * Copyright 2022 Gregg Tavares * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} /** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } -let xAxis; -let yAxis; -let zAxis; +const cache$1 = new Map(); /** - * Computes a 4-by-4 aim transformation. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Quat4 math functions. * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * or * - * Note: this is the inverse of `lookAt` + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * It is always safe to pass any vector as the destination. So for example + * + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} /** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * + * Vec4 math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this + * + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. + * + * or + * + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always safe to pass any vector as the destination. So for example + * + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -4521,14 +8288,14 @@ function render(time) { sizeValue[0] = size; const fov = (90 * Math.PI) / 180; const aspect = canvas.clientWidth / canvas.clientHeight; - const projection = mat4Impl.perspective(fov, aspect, 0.1, 50); - const view = mat4Impl.lookAt([0, 0, 1.5], // position + const projection = mat4.perspective(fov, aspect, 0.1, 50); + const view = mat4.lookAt([0, 0, 1.5], // position [0, 0, 0], // target [0, 1, 0] // up ); - const viewProjection = mat4Impl.multiply(projection, view); - mat4Impl.rotateY(viewProjection, time, matrixValue); - mat4Impl.rotateX(matrixValue, time * 0.1, matrixValue); + const viewProjection = mat4.multiply(projection, view); + mat4.rotateY(viewProjection, time, matrixValue); + mat4.rotateX(matrixValue, time * 0.1, matrixValue); // Update the resolution in the uniform values resolutionValue.set([canvasTexture.width, canvasTexture.height]); // Copy the uniform values to the GPU diff --git a/sample/points/main.js.map b/sample/points/main.js.map index a05d6129..51d7ae64 100644 --- a/sample/points/main.js.map +++ b/sample/points/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/points/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport distanceSizedPointsVertWGSL from './distance-sized-points.vert.wgsl';\nimport fixedSizePointsVertWGSL from './fixed-size-points.vert.wgsl';\nimport orangeFragWGSL from './orange.frag.wgsl';\nimport texturedFragWGSL from './textured.frag.wgsl';\n\n// See: https://www.google.com/search?q=fibonacci+sphere\nfunction createFibonacciSphereVertices({\n numSamples,\n radius,\n}: {\n numSamples: number;\n radius: number;\n}) {\n const vertices = [];\n const increment = Math.PI * (3 - Math.sqrt(5));\n for (let i = 0; i < numSamples; ++i) {\n const offset = 2 / numSamples;\n const y = i * offset - 1 + offset / 2;\n const r = Math.sqrt(1 - Math.pow(y, 2));\n const phi = (i % numSamples) * increment;\n const x = Math.cos(phi) * r;\n const z = Math.sin(phi) * r;\n vertices.push(x * radius, y * radius, z * radius);\n }\n return new Float32Array(vertices);\n}\n\nconst adapter = await navigator.gpu?.requestAdapter();\nconst device = await adapter?.requestDevice();\n\n// Get a WebGPU context from the canvas and configure it\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst context = canvas.getContext('webgpu');\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\ncontext.configure({\n device,\n format: presentationFormat,\n});\n\n// Create a bind group layout so we can share the bind groups\n// with multiple pipelines.\nconst bindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX,\n buffer: {},\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n sampler: {},\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {},\n },\n ],\n});\n\nconst pipelineLayout = device.createPipelineLayout({\n bindGroupLayouts: [bindGroupLayout],\n});\n\n// Compile all 4 shaders\nconst shaderModules = Object.fromEntries(\n Object.entries({\n orangeFragWGSL,\n texturedFragWGSL,\n distanceSizedPointsVertWGSL,\n fixedSizePointsVertWGSL,\n }).map(([key, code]) => [key, device.createShaderModule({ code })])\n);\n\nconst fragModules = [\n shaderModules.orangeFragWGSL,\n shaderModules.texturedFragWGSL,\n];\n\nconst vertModules = [\n shaderModules.distanceSizedPointsVertWGSL,\n shaderModules.fixedSizePointsVertWGSL,\n];\n\nconst depthFormat = 'depth24plus';\n\n// make pipelines for each combination\nconst pipelines = vertModules.map((vertModule) =>\n fragModules.map((fragModule) =>\n device.createRenderPipeline({\n layout: pipelineLayout,\n vertex: {\n module: vertModule,\n buffers: [\n {\n arrayStride: 3 * 4, // 3 floats, 4 bytes each\n stepMode: 'instance',\n attributes: [\n { shaderLocation: 0, offset: 0, format: 'float32x3' }, // position\n ],\n },\n ],\n },\n fragment: {\n module: fragModule,\n targets: [\n {\n format: presentationFormat,\n blend: {\n color: {\n srcFactor: 'one',\n dstFactor: 'one-minus-src-alpha',\n },\n alpha: {\n srcFactor: 'one',\n dstFactor: 'one-minus-src-alpha',\n },\n },\n },\n ],\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthFormat,\n },\n })\n )\n);\n\nconst vertexData = createFibonacciSphereVertices({\n radius: 1,\n numSamples: 1000,\n});\nconst kNumPoints = vertexData.length / 3;\n\nconst vertexBuffer = device.createBuffer({\n label: 'vertex buffer vertices',\n size: vertexData.byteLength,\n usage: GPUBufferUsage.VERTEX | GPUBufferUsage.COPY_DST,\n});\ndevice.queue.writeBuffer(vertexBuffer, 0, vertexData);\n\nconst uniformValues = new Float32Array(16 + 2 + 1 + 1);\nconst uniformBuffer = device.createBuffer({\n size: uniformValues.byteLength,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst kMatrixOffset = 0;\nconst kResolutionOffset = 16;\nconst kSizeOffset = 18;\nconst matrixValue = uniformValues.subarray(kMatrixOffset, kMatrixOffset + 16);\nconst resolutionValue = uniformValues.subarray(\n kResolutionOffset,\n kResolutionOffset + 2\n);\nconst sizeValue = uniformValues.subarray(kSizeOffset, kSizeOffset + 1);\n\n// Use canvas 2d to make texture data\nconst ctx = new OffscreenCanvas(64, 64).getContext('2d');\nctx.font = '60px sans-serif';\nctx.textAlign = 'center';\nctx.textBaseline = 'middle';\nctx.fillText('🦋', 32, 32);\n\nconst sampler = device.createSampler();\nconst texture = device.createTexture({\n size: [ctx.canvas.width, ctx.canvas.height],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.RENDER_ATTACHMENT,\n});\ndevice.queue.copyExternalImageToTexture(\n { source: ctx.canvas, flipY: true },\n { texture },\n [ctx.canvas.width, ctx.canvas.height]\n);\n\nconst bindGroup = device.createBindGroup({\n layout: bindGroupLayout,\n entries: [\n { binding: 0, resource: { buffer: uniformBuffer } },\n { binding: 1, resource: sampler },\n { binding: 2, resource: texture.createView() },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n label: 'our basic canvas renderPass',\n colorAttachments: [\n {\n view: undefined, // assigned later\n clearValue: [0.3, 0.3, 0.3, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: undefined, // to be filled out when we render\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst settings = {\n fixedSize: false,\n textured: false,\n size: 10,\n};\n\nconst gui = new GUI();\ngui.add(settings, 'fixedSize');\ngui.add(settings, 'textured');\ngui.add(settings, 'size', 0, 80);\n\nlet depthTexture;\n\nfunction render(time: number) {\n // Convert to seconds.\n time *= 0.001;\n\n // Get the current texture from the canvas context and\n // set it as the texture to render to.\n const canvasTexture = context.getCurrentTexture();\n renderPassDescriptor.colorAttachments[0].view = canvasTexture.createView();\n\n // If we don't have a depth texture OR if its size is different\n // from the canvasTexture when make a new depth texture\n if (\n !depthTexture ||\n depthTexture.width !== canvasTexture.width ||\n depthTexture.height !== canvasTexture.height\n ) {\n if (depthTexture) {\n depthTexture.destroy();\n }\n depthTexture = device.createTexture({\n size: [canvasTexture.width, canvasTexture.height],\n format: depthFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n });\n }\n renderPassDescriptor.depthStencilAttachment.view = depthTexture.createView();\n\n const { size, fixedSize, textured } = settings;\n\n const pipeline = pipelines[fixedSize ? 1 : 0][textured ? 1 : 0];\n\n // Set the size in the uniform values\n sizeValue[0] = size;\n\n const fov = (90 * Math.PI) / 180;\n const aspect = canvas.clientWidth / canvas.clientHeight;\n const projection = mat4.perspective(fov, aspect, 0.1, 50);\n const view = mat4.lookAt(\n [0, 0, 1.5], // position\n [0, 0, 0], // target\n [0, 1, 0] // up\n );\n const viewProjection = mat4.multiply(projection, view);\n mat4.rotateY(viewProjection, time, matrixValue);\n mat4.rotateX(matrixValue, time * 0.1, matrixValue);\n\n // Update the resolution in the uniform values\n resolutionValue.set([canvasTexture.width, canvasTexture.height]);\n\n // Copy the uniform values to the GPU\n device.queue.writeBuffer(uniformBuffer, 0, uniformValues);\n\n const encoder = device.createCommandEncoder();\n const pass = encoder.beginRenderPass(renderPassDescriptor);\n pass.setPipeline(pipeline);\n pass.setVertexBuffer(0, vertexBuffer);\n pass.setBindGroup(0, bindGroup);\n pass.draw(6, kNumPoints);\n pass.end();\n\n const commandBuffer = encoder.finish();\n device.queue.submit([commandBuffer]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/points/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport distanceSizedPointsVertWGSL from './distance-sized-points.vert.wgsl';\nimport fixedSizePointsVertWGSL from './fixed-size-points.vert.wgsl';\nimport orangeFragWGSL from './orange.frag.wgsl';\nimport texturedFragWGSL from './textured.frag.wgsl';\n\n// See: https://www.google.com/search?q=fibonacci+sphere\nfunction createFibonacciSphereVertices({\n numSamples,\n radius,\n}: {\n numSamples: number;\n radius: number;\n}) {\n const vertices = [];\n const increment = Math.PI * (3 - Math.sqrt(5));\n for (let i = 0; i < numSamples; ++i) {\n const offset = 2 / numSamples;\n const y = i * offset - 1 + offset / 2;\n const r = Math.sqrt(1 - Math.pow(y, 2));\n const phi = (i % numSamples) * increment;\n const x = Math.cos(phi) * r;\n const z = Math.sin(phi) * r;\n vertices.push(x * radius, y * radius, z * radius);\n }\n return new Float32Array(vertices);\n}\n\nconst adapter = await navigator.gpu?.requestAdapter();\nconst device = await adapter?.requestDevice();\n\n// Get a WebGPU context from the canvas and configure it\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst context = canvas.getContext('webgpu');\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\ncontext.configure({\n device,\n format: presentationFormat,\n});\n\n// Create a bind group layout so we can share the bind groups\n// with multiple pipelines.\nconst bindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX,\n buffer: {},\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n sampler: {},\n },\n {\n binding: 2,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {},\n },\n ],\n});\n\nconst pipelineLayout = device.createPipelineLayout({\n bindGroupLayouts: [bindGroupLayout],\n});\n\n// Compile all 4 shaders\nconst shaderModules = Object.fromEntries(\n Object.entries({\n orangeFragWGSL,\n texturedFragWGSL,\n distanceSizedPointsVertWGSL,\n fixedSizePointsVertWGSL,\n }).map(([key, code]) => [key, device.createShaderModule({ code })])\n);\n\nconst fragModules = [\n shaderModules.orangeFragWGSL,\n shaderModules.texturedFragWGSL,\n];\n\nconst vertModules = [\n shaderModules.distanceSizedPointsVertWGSL,\n shaderModules.fixedSizePointsVertWGSL,\n];\n\nconst depthFormat = 'depth24plus';\n\n// make pipelines for each combination\nconst pipelines = vertModules.map((vertModule) =>\n fragModules.map((fragModule) =>\n device.createRenderPipeline({\n layout: pipelineLayout,\n vertex: {\n module: vertModule,\n buffers: [\n {\n arrayStride: 3 * 4, // 3 floats, 4 bytes each\n stepMode: 'instance',\n attributes: [\n { shaderLocation: 0, offset: 0, format: 'float32x3' }, // position\n ],\n },\n ],\n },\n fragment: {\n module: fragModule,\n targets: [\n {\n format: presentationFormat,\n blend: {\n color: {\n srcFactor: 'one',\n dstFactor: 'one-minus-src-alpha',\n },\n alpha: {\n srcFactor: 'one',\n dstFactor: 'one-minus-src-alpha',\n },\n },\n },\n ],\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthFormat,\n },\n })\n )\n);\n\nconst vertexData = createFibonacciSphereVertices({\n radius: 1,\n numSamples: 1000,\n});\nconst kNumPoints = vertexData.length / 3;\n\nconst vertexBuffer = device.createBuffer({\n label: 'vertex buffer vertices',\n size: vertexData.byteLength,\n usage: GPUBufferUsage.VERTEX | GPUBufferUsage.COPY_DST,\n});\ndevice.queue.writeBuffer(vertexBuffer, 0, vertexData);\n\nconst uniformValues = new Float32Array(16 + 2 + 1 + 1);\nconst uniformBuffer = device.createBuffer({\n size: uniformValues.byteLength,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst kMatrixOffset = 0;\nconst kResolutionOffset = 16;\nconst kSizeOffset = 18;\nconst matrixValue = uniformValues.subarray(kMatrixOffset, kMatrixOffset + 16);\nconst resolutionValue = uniformValues.subarray(\n kResolutionOffset,\n kResolutionOffset + 2\n);\nconst sizeValue = uniformValues.subarray(kSizeOffset, kSizeOffset + 1);\n\n// Use canvas 2d to make texture data\nconst ctx = new OffscreenCanvas(64, 64).getContext('2d');\nctx.font = '60px sans-serif';\nctx.textAlign = 'center';\nctx.textBaseline = 'middle';\nctx.fillText('🦋', 32, 32);\n\nconst sampler = device.createSampler();\nconst texture = device.createTexture({\n size: [ctx.canvas.width, ctx.canvas.height],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.RENDER_ATTACHMENT,\n});\ndevice.queue.copyExternalImageToTexture(\n { source: ctx.canvas, flipY: true },\n { texture },\n [ctx.canvas.width, ctx.canvas.height]\n);\n\nconst bindGroup = device.createBindGroup({\n layout: bindGroupLayout,\n entries: [\n { binding: 0, resource: { buffer: uniformBuffer } },\n { binding: 1, resource: sampler },\n { binding: 2, resource: texture.createView() },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n label: 'our basic canvas renderPass',\n colorAttachments: [\n {\n view: undefined, // assigned later\n clearValue: [0.3, 0.3, 0.3, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: undefined, // to be filled out when we render\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst settings = {\n fixedSize: false,\n textured: false,\n size: 10,\n};\n\nconst gui = new GUI();\ngui.add(settings, 'fixedSize');\ngui.add(settings, 'textured');\ngui.add(settings, 'size', 0, 80);\n\nlet depthTexture;\n\nfunction render(time: number) {\n // Convert to seconds.\n time *= 0.001;\n\n // Get the current texture from the canvas context and\n // set it as the texture to render to.\n const canvasTexture = context.getCurrentTexture();\n renderPassDescriptor.colorAttachments[0].view = canvasTexture.createView();\n\n // If we don't have a depth texture OR if its size is different\n // from the canvasTexture when make a new depth texture\n if (\n !depthTexture ||\n depthTexture.width !== canvasTexture.width ||\n depthTexture.height !== canvasTexture.height\n ) {\n if (depthTexture) {\n depthTexture.destroy();\n }\n depthTexture = device.createTexture({\n size: [canvasTexture.width, canvasTexture.height],\n format: depthFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n });\n }\n renderPassDescriptor.depthStencilAttachment.view = depthTexture.createView();\n\n const { size, fixedSize, textured } = settings;\n\n const pipeline = pipelines[fixedSize ? 1 : 0][textured ? 1 : 0];\n\n // Set the size in the uniform values\n sizeValue[0] = size;\n\n const fov = (90 * Math.PI) / 180;\n const aspect = canvas.clientWidth / canvas.clientHeight;\n const projection = mat4.perspective(fov, aspect, 0.1, 50);\n const view = mat4.lookAt(\n [0, 0, 1.5], // position\n [0, 0, 0], // target\n [0, 1, 0] // up\n );\n const viewProjection = mat4.multiply(projection, view);\n mat4.rotateY(viewProjection, time, matrixValue);\n mat4.rotateX(matrixValue, time * 0.1, matrixValue);\n\n // Update the resolution in the uniform values\n 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\ No newline at end of file diff --git a/sample/renderBundles/main.js b/sample/renderBundles/main.js index d9074f92..1637365a 100644 --- a/sample/renderBundles/main.js +++ b/sample/renderBundles/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Generates am typed API for Vec3 */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); } - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,945 +744,1699 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); } - return copy$3(a, dst); + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Return the vector exactly between 2 endpoint vectors - * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this - * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix - * - * or - * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always save to pass any matrix as the destination. So for example - * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. - * - */ -let MatType = Float32Array; /** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; -} -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in - * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. - */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } } } } @@ -1082,1449 +2452,3039 @@ function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v1 } } } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Creates a 4-by-4 identity matrix. + +/* + * Copyright 2022 Gregg Tavares * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; +/** + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } -let xAxis; -let yAxis; -let zAxis; +const cache$1 = new Map(); /** - * Computes a 4-by-4 aim transformation. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Quat4 math functions. * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * or * - * Note: this is the inverse of `lookAt` + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * It is always safe to pass any vector as the destination. So for example + * + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} /** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * + * Vec4 math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this + * + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. + * + * or + * + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always safe to pass any vector as the destination. So for example + * + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -5033,9 +7993,9 @@ function createSphereMesh(radius, widthSegments = 32, heightSegments = 16, rando const indices = []; widthSegments = Math.max(3, Math.floor(widthSegments)); heightSegments = Math.max(2, Math.floor(heightSegments)); - const firstVertex = vec3Impl.create(); - const vertex = vec3Impl.create(); - const normal = vec3Impl.create(); + const firstVertex = vec3.create(); + const vertex = vec3.create(); + const normal = vec3.create(); let index = 0; const grid = []; // generate vertices, normals and uvs @@ -5054,7 +8014,7 @@ function createSphereMesh(radius, widthSegments = 32, heightSegments = 16, rando const u = ix / widthSegments; // Poles should just use the same position all the way around. if (ix == widthSegments) { - vec3Impl.copy(firstVertex, vertex); + vec3.copy(firstVertex, vertex); } else if (ix == 0 || (iy != 0 && iy !== heightSegments)) { const rr = radius + (Math.random() - 0.5) * 2 * randomness * radius; @@ -5063,13 +8023,13 @@ function createSphereMesh(radius, widthSegments = 32, heightSegments = 16, rando vertex[1] = rr * Math.cos(v * Math.PI); vertex[2] = rr * Math.sin(u * Math.PI * 2) * Math.sin(v * Math.PI); if (ix == 0) { - vec3Impl.copy(vertex, firstVertex); + vec3.copy(vertex, firstVertex); } } vertices.push(...vertex); // normal - vec3Impl.copy(vertex, normal); - vec3Impl.normalize(normal, normal); + vec3.copy(vertex, normal); + vec3.normalize(normal, normal); vertices.push(...normal); // uv vertices.push(u + uOffset, 1 - v); @@ -5488,8 +8448,8 @@ function createSphereBindGroup(texture, transform) { }); return bindGroup; } -const transform = mat4Impl.create(); -mat4Impl.identity(transform); +const transform = mat4.create(); +mat4.identity(transform); // Create one large central planet surrounded by a large ring of asteroids const planet = createSphereRenderable(1.0); planet.bindGroup = createSphereBindGroup(planetTexture, transform); @@ -5509,10 +8469,10 @@ function ensureEnoughAsteroids() { const x = Math.sin(angle) * radius; const y = (Math.random() - 0.5) * 0.015; const z = Math.cos(angle) * radius; - mat4Impl.identity(transform); - mat4Impl.translate(transform, [x, y, z], transform); - mat4Impl.rotateX(transform, Math.random() * Math.PI, transform); - mat4Impl.rotateY(transform, Math.random() * Math.PI, transform); + mat4.identity(transform); + mat4.translate(transform, [x, y, z], transform); + mat4.rotateX(transform, Math.random() * Math.PI, transform); + mat4.rotateY(transform, Math.random() * Math.PI, transform); renderables.push({ ...asteroids[i % asteroids.length], bindGroup: createSphereBindGroup(moonTexture, transform), @@ -5537,8 +8497,8 @@ const renderPassDescriptor = { }, }; const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); -const modelViewProjectionMatrix = mat4Impl.create(); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); +const modelViewProjectionMatrix = mat4.create(); const frameBindGroup = device.createBindGroup({ layout: pipeline.getBindGroupLayout(0), entries: [ @@ -5551,15 +8511,15 @@ const frameBindGroup = device.createBindGroup({ ], }); function getTransformationMatrix() { - const viewMatrix = mat4Impl.identity(); - mat4Impl.translate(viewMatrix, vec3Impl.fromValues(0, 0, -4), viewMatrix); + const viewMatrix = mat4.identity(); + mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix); const now = Date.now() / 1000; // Tilt the view matrix so the planet looks like it's off-axis. - mat4Impl.rotateZ(viewMatrix, Math.PI * 0.1, viewMatrix); - mat4Impl.rotateX(viewMatrix, Math.PI * 0.1, viewMatrix); + mat4.rotateZ(viewMatrix, Math.PI * 0.1, viewMatrix); + mat4.rotateX(viewMatrix, Math.PI * 0.1, viewMatrix); // Rotate the view matrix slowly so the planet appears to spin. - mat4Impl.rotateY(viewMatrix, now * 0.05, viewMatrix); - mat4Impl.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); + mat4.rotateY(viewMatrix, now * 0.05, viewMatrix); + mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); return modelViewProjectionMatrix; } // Render bundles function as partial, limited render passes, so we can use the diff --git a/sample/renderBundles/main.js.map b/sample/renderBundles/main.js.map index 9ccdcda5..2b3b5096 100644 --- a/sample/renderBundles/main.js.map +++ b/sample/renderBundles/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../meshes/sphere.ts","../../../node_modules/stats.js/build/stats.module.js","../../../../../sample/renderBundles/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { vec3 } from 'wgpu-matrix';\n\nexport interface SphereMesh {\n vertices: Float32Array;\n indices: Uint16Array;\n}\n\nexport const SphereLayout = {\n vertexStride: 8 * 4,\n positionsOffset: 0,\n normalOffset: 3 * 4,\n uvOffset: 6 * 4,\n};\n\n// Borrowed and simplified from https://github.com/mrdoob/three.js/blob/master/src/geometries/SphereGeometry.js\nexport function createSphereMesh(\n radius: number,\n widthSegments = 32,\n heightSegments = 16,\n randomness = 0\n): SphereMesh {\n const vertices = [];\n const indices = [];\n\n widthSegments = Math.max(3, Math.floor(widthSegments));\n heightSegments = Math.max(2, Math.floor(heightSegments));\n\n const firstVertex = vec3.create();\n const vertex = vec3.create();\n const normal = vec3.create();\n\n let index = 0;\n const grid = [];\n\n // generate vertices, normals and uvs\n for (let iy = 0; iy <= heightSegments; iy++) {\n const verticesRow = [];\n const v = iy / heightSegments;\n\n // special case for the poles\n let uOffset = 0;\n if (iy === 0) {\n uOffset = 0.5 / widthSegments;\n } else if (iy === heightSegments) {\n uOffset = -0.5 / widthSegments;\n }\n\n for (let ix = 0; ix <= widthSegments; ix++) {\n const u = ix / widthSegments;\n\n // Poles should just use the same position all the way around.\n if (ix == widthSegments) {\n vec3.copy(firstVertex, vertex);\n } else if (ix == 0 || (iy != 0 && iy !== heightSegments)) {\n const rr = radius + (Math.random() - 0.5) * 2 * randomness * radius;\n\n // vertex\n vertex[0] = -rr * Math.cos(u * Math.PI * 2) * Math.sin(v * Math.PI);\n vertex[1] = rr * Math.cos(v * Math.PI);\n vertex[2] = rr * Math.sin(u * Math.PI * 2) * Math.sin(v * Math.PI);\n\n if (ix == 0) {\n vec3.copy(vertex, firstVertex);\n }\n }\n\n vertices.push(...vertex);\n\n // normal\n vec3.copy(vertex, normal);\n vec3.normalize(normal, normal);\n vertices.push(...normal);\n\n // uv\n vertices.push(u + uOffset, 1 - v);\n verticesRow.push(index++);\n }\n\n grid.push(verticesRow);\n }\n\n // indices\n for (let iy = 0; iy < heightSegments; iy++) {\n for (let ix = 0; ix < widthSegments; ix++) {\n const a = grid[iy][ix + 1];\n const b = grid[iy][ix];\n const c = grid[iy + 1][ix];\n const d = grid[iy + 1][ix + 1];\n\n if (iy !== 0) indices.push(a, b, d);\n if (iy !== heightSegments - 1) indices.push(b, c, d);\n }\n }\n\n return {\n vertices: new Float32Array(vertices),\n indices: new Uint16Array(indices),\n };\n}\n","/**\n * @author mrdoob / http://mrdoob.com/\n */\n\nvar Stats = function () {\n\n\tvar mode = 0;\n\n\tvar container = document.createElement( 'div' );\n\tcontainer.style.cssText = 'position:fixed;top:0;left:0;cursor:pointer;opacity:0.9;z-index:10000';\n\tcontainer.addEventListener( 'click', function ( event ) {\n\n\t\tevent.preventDefault();\n\t\tshowPanel( ++ mode % container.children.length );\n\n\t}, false );\n\n\t//\n\n\tfunction addPanel( panel ) {\n\n\t\tcontainer.appendChild( panel.dom );\n\t\treturn panel;\n\n\t}\n\n\tfunction showPanel( id ) {\n\n\t\tfor ( var i = 0; i < container.children.length; i ++ ) {\n\n\t\t\tcontainer.children[ i ].style.display = i === id ? 'block' : 'none';\n\n\t\t}\n\n\t\tmode = id;\n\n\t}\n\n\t//\n\n\tvar beginTime = ( performance || Date ).now(), prevTime = beginTime, frames = 0;\n\n\tvar fpsPanel = addPanel( new Stats.Panel( 'FPS', '#0ff', '#002' ) );\n\tvar msPanel = addPanel( new Stats.Panel( 'MS', '#0f0', '#020' ) );\n\n\tif ( self.performance && self.performance.memory ) {\n\n\t\tvar memPanel = addPanel( new Stats.Panel( 'MB', '#f08', '#201' ) );\n\n\t}\n\n\tshowPanel( 0 );\n\n\treturn {\n\n\t\tREVISION: 16,\n\n\t\tdom: container,\n\n\t\taddPanel: addPanel,\n\t\tshowPanel: showPanel,\n\n\t\tbegin: function () {\n\n\t\t\tbeginTime = ( performance || Date ).now();\n\n\t\t},\n\n\t\tend: function () {\n\n\t\t\tframes ++;\n\n\t\t\tvar time = ( performance || Date ).now();\n\n\t\t\tmsPanel.update( time - beginTime, 200 );\n\n\t\t\tif ( time >= prevTime + 1000 ) {\n\n\t\t\t\tfpsPanel.update( ( frames * 1000 ) / ( time - prevTime ), 100 );\n\n\t\t\t\tprevTime = time;\n\t\t\t\tframes = 0;\n\n\t\t\t\tif ( memPanel ) {\n\n\t\t\t\t\tvar memory = performance.memory;\n\t\t\t\t\tmemPanel.update( memory.usedJSHeapSize / 1048576, memory.jsHeapSizeLimit / 1048576 );\n\n\t\t\t\t}\n\n\t\t\t}\n\n\t\t\treturn time;\n\n\t\t},\n\n\t\tupdate: function () {\n\n\t\t\tbeginTime = this.end();\n\n\t\t},\n\n\t\t// Backwards Compatibility\n\n\t\tdomElement: container,\n\t\tsetMode: showPanel\n\n\t};\n\n};\n\nStats.Panel = function ( name, fg, bg ) {\n\n\tvar min = Infinity, max = 0, round = Math.round;\n\tvar PR = round( window.devicePixelRatio || 1 );\n\n\tvar WIDTH = 80 * PR, HEIGHT = 48 * PR,\n\t\t\tTEXT_X = 3 * PR, TEXT_Y = 2 * PR,\n\t\t\tGRAPH_X = 3 * PR, GRAPH_Y = 15 * PR,\n\t\t\tGRAPH_WIDTH = 74 * PR, GRAPH_HEIGHT = 30 * PR;\n\n\tvar canvas = document.createElement( 'canvas' );\n\tcanvas.width = WIDTH;\n\tcanvas.height = HEIGHT;\n\tcanvas.style.cssText = 'width:80px;height:48px';\n\n\tvar context = canvas.getContext( '2d' );\n\tcontext.font = 'bold ' + ( 9 * PR ) + 'px Helvetica,Arial,sans-serif';\n\tcontext.textBaseline = 'top';\n\n\tcontext.fillStyle = bg;\n\tcontext.fillRect( 0, 0, WIDTH, HEIGHT );\n\n\tcontext.fillStyle = fg;\n\tcontext.fillText( name, TEXT_X, TEXT_Y );\n\tcontext.fillRect( GRAPH_X, GRAPH_Y, GRAPH_WIDTH, GRAPH_HEIGHT );\n\n\tcontext.fillStyle = bg;\n\tcontext.globalAlpha = 0.9;\n\tcontext.fillRect( GRAPH_X, GRAPH_Y, GRAPH_WIDTH, GRAPH_HEIGHT );\n\n\treturn {\n\n\t\tdom: canvas,\n\n\t\tupdate: function ( value, maxValue ) {\n\n\t\t\tmin = Math.min( min, value );\n\t\t\tmax = Math.max( max, value );\n\n\t\t\tcontext.fillStyle = bg;\n\t\t\tcontext.globalAlpha = 1;\n\t\t\tcontext.fillRect( 0, 0, WIDTH, GRAPH_Y );\n\t\t\tcontext.fillStyle = fg;\n\t\t\tcontext.fillText( round( value ) + ' ' + name + ' (' + round( min ) + '-' + round( max ) + ')', TEXT_X, TEXT_Y );\n\n\t\t\tcontext.drawImage( canvas, GRAPH_X + PR, GRAPH_Y, GRAPH_WIDTH - PR, GRAPH_HEIGHT, GRAPH_X, GRAPH_Y, GRAPH_WIDTH - PR, GRAPH_HEIGHT );\n\n\t\t\tcontext.fillRect( GRAPH_X + GRAPH_WIDTH - PR, GRAPH_Y, PR, GRAPH_HEIGHT );\n\n\t\t\tcontext.fillStyle = bg;\n\t\t\tcontext.globalAlpha = 0.9;\n\t\t\tcontext.fillRect( GRAPH_X + GRAPH_WIDTH - PR, GRAPH_Y, PR, round( ( 1 - ( value / maxValue ) ) * GRAPH_HEIGHT ) );\n\n\t\t}\n\n\t};\n\n};\n\nexport default Stats;\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport { createSphereMesh, SphereLayout } from '../../meshes/sphere';\nimport Stats from 'stats.js';\n\nimport meshWGSL from './mesh.wgsl';\n\ninterface Renderable {\n vertices: GPUBuffer;\n indices: GPUBuffer;\n indexCount: number;\n bindGroup?: GPUBindGroup;\n}\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst settings = {\n useRenderBundles: true,\n asteroidCount: 5000,\n};\nconst gui = new GUI();\ngui.add(settings, 'useRenderBundles');\ngui.add(settings, 'asteroidCount', 1000, 10000, 1000).onChange(() => {\n // If the content of the scene changes the render bundle must be recreated.\n ensureEnoughAsteroids();\n updateRenderBundle();\n});\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst shaderModule = device.createShaderModule({\n code: meshWGSL,\n});\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: shaderModule,\n buffers: [\n {\n arrayStride: SphereLayout.vertexStride,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: SphereLayout.positionsOffset,\n format: 'float32x3',\n },\n {\n // normal\n shaderLocation: 1,\n offset: SphereLayout.normalOffset,\n format: 'float32x3',\n },\n {\n // uv\n shaderLocation: 2,\n offset: SphereLayout.uvOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: shaderModule,\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the sphere is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// Fetch the images and upload them into a GPUTexture.\nlet planetTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/saturn.jpg');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n planetTexture = device.createTexture({\n size: [imageBitmap.width, imageBitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: planetTexture },\n [imageBitmap.width, imageBitmap.height]\n );\n}\n\nlet moonTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/moon.jpg');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n moonTexture = device.createTexture({\n size: [imageBitmap.width, imageBitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: moonTexture },\n [imageBitmap.width, imageBitmap.height]\n );\n}\n\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\n// Helper functions to create the required meshes and bind groups for each sphere.\nfunction createSphereRenderable(\n radius: number,\n widthSegments = 32,\n heightSegments = 16,\n randomness = 0\n): Renderable {\n const sphereMesh = createSphereMesh(\n radius,\n widthSegments,\n heightSegments,\n randomness\n );\n\n // Create a vertex buffer from the sphere data.\n const vertices = device.createBuffer({\n size: sphereMesh.vertices.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n });\n new Float32Array(vertices.getMappedRange()).set(sphereMesh.vertices);\n vertices.unmap();\n\n const indices = device.createBuffer({\n size: sphereMesh.indices.byteLength,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n });\n new Uint16Array(indices.getMappedRange()).set(sphereMesh.indices);\n indices.unmap();\n\n return {\n vertices,\n indices,\n indexCount: sphereMesh.indices.length,\n };\n}\n\nfunction createSphereBindGroup(\n texture: GPUTexture,\n transform: Float32Array\n): GPUBindGroup {\n const uniformBufferSize = 4 * 16; // 4x4 matrix\n const uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n mappedAtCreation: true,\n });\n new Float32Array(uniformBuffer.getMappedRange()).set(transform);\n uniformBuffer.unmap();\n\n const bindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(1),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: texture.createView(),\n },\n ],\n });\n\n return bindGroup;\n}\n\nconst transform = mat4.create() as Float32Array;\nmat4.identity(transform);\n\n// Create one large central planet surrounded by a large ring of asteroids\nconst planet = createSphereRenderable(1.0);\nplanet.bindGroup = createSphereBindGroup(planetTexture, transform);\n\nconst asteroids = [\n createSphereRenderable(0.01, 8, 6, 0.15),\n createSphereRenderable(0.013, 8, 6, 0.15),\n createSphereRenderable(0.017, 8, 6, 0.15),\n createSphereRenderable(0.02, 8, 6, 0.15),\n createSphereRenderable(0.03, 16, 8, 0.15),\n];\n\nconst renderables = [planet];\n\nfunction ensureEnoughAsteroids() {\n for (let i = renderables.length; i <= settings.asteroidCount; ++i) {\n // Place copies of the asteroid in a ring.\n const radius = Math.random() * 1.7 + 1.25;\n const angle = Math.random() * Math.PI * 2;\n const x = Math.sin(angle) * radius;\n const y = (Math.random() - 0.5) * 0.015;\n const z = Math.cos(angle) * radius;\n\n mat4.identity(transform);\n mat4.translate(transform, [x, y, z], transform);\n mat4.rotateX(transform, Math.random() * Math.PI, transform);\n mat4.rotateY(transform, Math.random() * Math.PI, transform);\n renderables.push({\n ...asteroids[i % asteroids.length],\n bindGroup: createSphereBindGroup(moonTexture, transform),\n });\n }\n}\nensureEnoughAsteroids();\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nconst frameBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nfunction getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n // Tilt the view matrix so the planet looks like it's off-axis.\n mat4.rotateZ(viewMatrix, Math.PI * 0.1, viewMatrix);\n mat4.rotateX(viewMatrix, Math.PI * 0.1, viewMatrix);\n // Rotate the view matrix slowly so the planet appears to spin.\n mat4.rotateY(viewMatrix, now * 0.05, viewMatrix);\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix as Float32Array;\n}\n\n// Render bundles function as partial, limited render passes, so we can use the\n// same code both to render the scene normally and to build the render bundle.\nfunction renderScene(\n passEncoder: GPURenderPassEncoder | GPURenderBundleEncoder\n) {\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, frameBindGroup);\n\n // Loop through every renderable object and draw them individually.\n // (Because many of these meshes are repeated, with only the transforms\n // differing, instancing would be highly effective here. This sample\n // intentionally avoids using instancing in order to emulate a more complex\n // scene, which helps demonstrate the potential time savings a render bundle\n // can provide.)\n let count = 0;\n for (const renderable of renderables) {\n passEncoder.setBindGroup(1, renderable.bindGroup);\n passEncoder.setVertexBuffer(0, renderable.vertices);\n passEncoder.setIndexBuffer(renderable.indices, 'uint16');\n passEncoder.drawIndexed(renderable.indexCount);\n\n if (++count > settings.asteroidCount) {\n break;\n }\n }\n}\n\n// The render bundle can be encoded once and re-used as many times as needed.\n// Because it encodes all of the commands needed to render at the GPU level,\n// those commands will not need to execute the associated JavaScript code upon\n// execution or be re-validated, which can represent a significant time savings.\n//\n// However, because render bundles are immutable once created, they are only\n// appropriate for rendering content where the same commands will be executed\n// every time, with the only changes being the contents of the buffers and\n// textures used. Cases where the executed commands differ from frame-to-frame,\n// such as when using frustrum or occlusion culling, will not benefit from\n// using render bundles as much.\nlet renderBundle;\nfunction updateRenderBundle() {\n const renderBundleEncoder = device.createRenderBundleEncoder({\n colorFormats: [presentationFormat],\n depthStencilFormat: 'depth24plus',\n });\n renderScene(renderBundleEncoder);\n renderBundle = renderBundleEncoder.finish();\n}\nupdateRenderBundle();\n\nconst stats = new Stats();\nstats.showPanel(1); // 0: fps, 1: ms, 2: mb, 3+: custom\ndocument.body.appendChild(stats.dom);\n\nfunction frame() {\n stats.begin();\n\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n\n if (settings.useRenderBundles) {\n // Executing a bundle is equivalent to calling all of the commands encoded\n // in the render bundle as part of the current render pass.\n passEncoder.executeBundles([renderBundle]);\n } else {\n // Alternatively, the same render commands can be encoded manually, which\n // can take longer since each command needs to be interpreted by the\n // JavaScript virtual machine and re-validated each time.\n renderScene(passEncoder);\n }\n\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n stats.end();\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../meshes/sphere.ts","../../../node_modules/stats.js/build/stats.module.js","../../../../../sample/renderBundles/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { vec3 } from 'wgpu-matrix';\n\nexport interface SphereMesh {\n vertices: Float32Array;\n indices: Uint16Array;\n}\n\nexport const SphereLayout = {\n vertexStride: 8 * 4,\n positionsOffset: 0,\n normalOffset: 3 * 4,\n uvOffset: 6 * 4,\n};\n\n// Borrowed and simplified from https://github.com/mrdoob/three.js/blob/master/src/geometries/SphereGeometry.js\nexport function createSphereMesh(\n radius: number,\n widthSegments = 32,\n heightSegments = 16,\n randomness = 0\n): SphereMesh {\n const vertices = [];\n const indices = [];\n\n widthSegments = Math.max(3, Math.floor(widthSegments));\n heightSegments = Math.max(2, Math.floor(heightSegments));\n\n const firstVertex = vec3.create();\n const vertex = vec3.create();\n const normal = vec3.create();\n\n let index = 0;\n const grid = [];\n\n // generate vertices, normals and uvs\n for (let iy = 0; iy <= heightSegments; iy++) {\n const verticesRow = [];\n const v = iy / heightSegments;\n\n // special case for the poles\n let uOffset = 0;\n if (iy === 0) {\n uOffset = 0.5 / widthSegments;\n } else if (iy === heightSegments) {\n uOffset = -0.5 / widthSegments;\n }\n\n for (let ix = 0; ix <= widthSegments; ix++) {\n const u = ix / widthSegments;\n\n // Poles should just use the same position all the way around.\n if (ix == widthSegments) {\n vec3.copy(firstVertex, vertex);\n } else if (ix == 0 || (iy != 0 && iy !== heightSegments)) {\n const rr = radius + (Math.random() - 0.5) * 2 * randomness * radius;\n\n // vertex\n vertex[0] = -rr * Math.cos(u * Math.PI * 2) * Math.sin(v * Math.PI);\n vertex[1] = rr * Math.cos(v * Math.PI);\n vertex[2] = rr * Math.sin(u * Math.PI * 2) * Math.sin(v * Math.PI);\n\n if (ix == 0) {\n vec3.copy(vertex, firstVertex);\n }\n }\n\n vertices.push(...vertex);\n\n // normal\n vec3.copy(vertex, normal);\n vec3.normalize(normal, normal);\n vertices.push(...normal);\n\n // uv\n vertices.push(u + uOffset, 1 - v);\n verticesRow.push(index++);\n }\n\n grid.push(verticesRow);\n }\n\n // indices\n for (let iy = 0; iy < heightSegments; iy++) {\n for (let ix = 0; ix < widthSegments; ix++) {\n const a = grid[iy][ix + 1];\n const b = grid[iy][ix];\n const c = grid[iy + 1][ix];\n const d = grid[iy + 1][ix + 1];\n\n if (iy !== 0) indices.push(a, b, d);\n if (iy !== heightSegments - 1) indices.push(b, c, d);\n }\n }\n\n return {\n vertices: new Float32Array(vertices),\n indices: new Uint16Array(indices),\n };\n}\n","/**\n * @author mrdoob / http://mrdoob.com/\n */\n\nvar Stats = function () {\n\n\tvar mode = 0;\n\n\tvar container = document.createElement( 'div' );\n\tcontainer.style.cssText = 'position:fixed;top:0;left:0;cursor:pointer;opacity:0.9;z-index:10000';\n\tcontainer.addEventListener( 'click', function ( event ) {\n\n\t\tevent.preventDefault();\n\t\tshowPanel( ++ mode % container.children.length );\n\n\t}, false );\n\n\t//\n\n\tfunction addPanel( panel ) {\n\n\t\tcontainer.appendChild( panel.dom );\n\t\treturn panel;\n\n\t}\n\n\tfunction showPanel( id ) {\n\n\t\tfor ( var i = 0; i < container.children.length; i ++ ) {\n\n\t\t\tcontainer.children[ i ].style.display = i === id ? 'block' : 'none';\n\n\t\t}\n\n\t\tmode = id;\n\n\t}\n\n\t//\n\n\tvar beginTime = ( performance || Date ).now(), prevTime = beginTime, frames = 0;\n\n\tvar fpsPanel = addPanel( new Stats.Panel( 'FPS', '#0ff', '#002' ) );\n\tvar msPanel = addPanel( new Stats.Panel( 'MS', '#0f0', '#020' ) );\n\n\tif ( self.performance && self.performance.memory ) {\n\n\t\tvar memPanel = addPanel( new Stats.Panel( 'MB', '#f08', '#201' ) );\n\n\t}\n\n\tshowPanel( 0 );\n\n\treturn {\n\n\t\tREVISION: 16,\n\n\t\tdom: container,\n\n\t\taddPanel: addPanel,\n\t\tshowPanel: showPanel,\n\n\t\tbegin: function () {\n\n\t\t\tbeginTime = ( performance || Date ).now();\n\n\t\t},\n\n\t\tend: function () {\n\n\t\t\tframes ++;\n\n\t\t\tvar time = ( performance || Date ).now();\n\n\t\t\tmsPanel.update( time - beginTime, 200 );\n\n\t\t\tif ( time >= prevTime + 1000 ) {\n\n\t\t\t\tfpsPanel.update( ( frames * 1000 ) / ( time - prevTime ), 100 );\n\n\t\t\t\tprevTime = time;\n\t\t\t\tframes = 0;\n\n\t\t\t\tif ( memPanel ) {\n\n\t\t\t\t\tvar memory = performance.memory;\n\t\t\t\t\tmemPanel.update( memory.usedJSHeapSize / 1048576, memory.jsHeapSizeLimit / 1048576 );\n\n\t\t\t\t}\n\n\t\t\t}\n\n\t\t\treturn time;\n\n\t\t},\n\n\t\tupdate: function () {\n\n\t\t\tbeginTime = this.end();\n\n\t\t},\n\n\t\t// Backwards Compatibility\n\n\t\tdomElement: container,\n\t\tsetMode: showPanel\n\n\t};\n\n};\n\nStats.Panel = function ( name, fg, bg ) {\n\n\tvar min = Infinity, max = 0, round = Math.round;\n\tvar PR = round( window.devicePixelRatio || 1 );\n\n\tvar WIDTH = 80 * PR, HEIGHT = 48 * PR,\n\t\t\tTEXT_X = 3 * PR, TEXT_Y = 2 * PR,\n\t\t\tGRAPH_X = 3 * PR, GRAPH_Y = 15 * PR,\n\t\t\tGRAPH_WIDTH = 74 * PR, GRAPH_HEIGHT = 30 * PR;\n\n\tvar canvas = document.createElement( 'canvas' );\n\tcanvas.width = WIDTH;\n\tcanvas.height = HEIGHT;\n\tcanvas.style.cssText = 'width:80px;height:48px';\n\n\tvar context = canvas.getContext( '2d' );\n\tcontext.font = 'bold ' + ( 9 * PR ) + 'px Helvetica,Arial,sans-serif';\n\tcontext.textBaseline = 'top';\n\n\tcontext.fillStyle = bg;\n\tcontext.fillRect( 0, 0, WIDTH, HEIGHT );\n\n\tcontext.fillStyle = fg;\n\tcontext.fillText( name, TEXT_X, TEXT_Y );\n\tcontext.fillRect( GRAPH_X, GRAPH_Y, GRAPH_WIDTH, GRAPH_HEIGHT );\n\n\tcontext.fillStyle = bg;\n\tcontext.globalAlpha = 0.9;\n\tcontext.fillRect( GRAPH_X, GRAPH_Y, GRAPH_WIDTH, GRAPH_HEIGHT );\n\n\treturn {\n\n\t\tdom: canvas,\n\n\t\tupdate: function ( value, maxValue ) {\n\n\t\t\tmin = Math.min( min, value );\n\t\t\tmax = Math.max( max, value );\n\n\t\t\tcontext.fillStyle = bg;\n\t\t\tcontext.globalAlpha = 1;\n\t\t\tcontext.fillRect( 0, 0, WIDTH, GRAPH_Y );\n\t\t\tcontext.fillStyle = fg;\n\t\t\tcontext.fillText( round( value ) + ' ' + name + ' (' + round( min ) + '-' + round( max ) + ')', TEXT_X, TEXT_Y );\n\n\t\t\tcontext.drawImage( canvas, GRAPH_X + PR, GRAPH_Y, GRAPH_WIDTH - PR, GRAPH_HEIGHT, GRAPH_X, GRAPH_Y, GRAPH_WIDTH - PR, GRAPH_HEIGHT );\n\n\t\t\tcontext.fillRect( GRAPH_X + GRAPH_WIDTH - PR, GRAPH_Y, PR, GRAPH_HEIGHT );\n\n\t\t\tcontext.fillStyle = bg;\n\t\t\tcontext.globalAlpha = 0.9;\n\t\t\tcontext.fillRect( GRAPH_X + GRAPH_WIDTH - PR, GRAPH_Y, PR, round( ( 1 - ( value / maxValue ) ) * GRAPH_HEIGHT ) );\n\n\t\t}\n\n\t};\n\n};\n\nexport default Stats;\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport { createSphereMesh, SphereLayout } from '../../meshes/sphere';\nimport Stats from 'stats.js';\n\nimport meshWGSL from './mesh.wgsl';\n\ninterface Renderable {\n vertices: GPUBuffer;\n indices: GPUBuffer;\n indexCount: number;\n bindGroup?: GPUBindGroup;\n}\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst settings = {\n useRenderBundles: true,\n asteroidCount: 5000,\n};\nconst gui = new GUI();\ngui.add(settings, 'useRenderBundles');\ngui.add(settings, 'asteroidCount', 1000, 10000, 1000).onChange(() => {\n // If the content of the scene changes the render bundle must be recreated.\n ensureEnoughAsteroids();\n updateRenderBundle();\n});\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst shaderModule = device.createShaderModule({\n code: meshWGSL,\n});\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: shaderModule,\n buffers: [\n {\n arrayStride: SphereLayout.vertexStride,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: SphereLayout.positionsOffset,\n format: 'float32x3',\n },\n {\n // normal\n shaderLocation: 1,\n offset: SphereLayout.normalOffset,\n format: 'float32x3',\n },\n {\n // uv\n shaderLocation: 2,\n offset: SphereLayout.uvOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: shaderModule,\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the sphere is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// Fetch the images and upload them into a GPUTexture.\nlet planetTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/saturn.jpg');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n planetTexture = device.createTexture({\n size: [imageBitmap.width, imageBitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: planetTexture },\n [imageBitmap.width, imageBitmap.height]\n );\n}\n\nlet moonTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/moon.jpg');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n moonTexture = device.createTexture({\n size: [imageBitmap.width, imageBitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: moonTexture },\n [imageBitmap.width, imageBitmap.height]\n );\n}\n\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\n// Helper functions to create the required meshes and bind groups for each sphere.\nfunction createSphereRenderable(\n radius: number,\n widthSegments = 32,\n heightSegments = 16,\n randomness = 0\n): Renderable {\n const sphereMesh = createSphereMesh(\n radius,\n widthSegments,\n heightSegments,\n randomness\n );\n\n // Create a vertex buffer from the sphere data.\n const vertices = device.createBuffer({\n size: sphereMesh.vertices.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n });\n new Float32Array(vertices.getMappedRange()).set(sphereMesh.vertices);\n vertices.unmap();\n\n const indices = device.createBuffer({\n size: sphereMesh.indices.byteLength,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n });\n new Uint16Array(indices.getMappedRange()).set(sphereMesh.indices);\n indices.unmap();\n\n return {\n vertices,\n indices,\n indexCount: sphereMesh.indices.length,\n };\n}\n\nfunction createSphereBindGroup(\n texture: GPUTexture,\n transform: Float32Array\n): GPUBindGroup {\n const uniformBufferSize = 4 * 16; // 4x4 matrix\n const uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n mappedAtCreation: true,\n });\n new Float32Array(uniformBuffer.getMappedRange()).set(transform);\n uniformBuffer.unmap();\n\n const bindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(1),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: texture.createView(),\n },\n ],\n });\n\n return bindGroup;\n}\n\nconst transform = mat4.create();\nmat4.identity(transform);\n\n// Create one large central planet surrounded by a large ring of asteroids\nconst planet = createSphereRenderable(1.0);\nplanet.bindGroup = createSphereBindGroup(planetTexture, transform);\n\nconst asteroids = [\n createSphereRenderable(0.01, 8, 6, 0.15),\n createSphereRenderable(0.013, 8, 6, 0.15),\n createSphereRenderable(0.017, 8, 6, 0.15),\n createSphereRenderable(0.02, 8, 6, 0.15),\n createSphereRenderable(0.03, 16, 8, 0.15),\n];\n\nconst renderables = [planet];\n\nfunction ensureEnoughAsteroids() {\n for (let i = renderables.length; i <= settings.asteroidCount; ++i) {\n // Place copies of the asteroid in a ring.\n const radius = Math.random() * 1.7 + 1.25;\n const angle = Math.random() * Math.PI * 2;\n const x = Math.sin(angle) * radius;\n const y = (Math.random() - 0.5) * 0.015;\n const z = Math.cos(angle) * radius;\n\n mat4.identity(transform);\n mat4.translate(transform, [x, y, z], transform);\n mat4.rotateX(transform, Math.random() * Math.PI, transform);\n mat4.rotateY(transform, Math.random() * Math.PI, transform);\n renderables.push({\n ...asteroids[i % asteroids.length],\n bindGroup: createSphereBindGroup(moonTexture, transform),\n });\n }\n}\nensureEnoughAsteroids();\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nconst frameBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nfunction getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n // Tilt the view matrix so the planet looks like it's off-axis.\n mat4.rotateZ(viewMatrix, Math.PI * 0.1, viewMatrix);\n mat4.rotateX(viewMatrix, Math.PI * 0.1, viewMatrix);\n // Rotate the view matrix slowly so the planet appears to spin.\n mat4.rotateY(viewMatrix, now * 0.05, viewMatrix);\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix;\n}\n\n// Render bundles function as partial, limited render passes, so we can use the\n// same code both to render the scene normally and to build the render bundle.\nfunction renderScene(\n passEncoder: GPURenderPassEncoder | GPURenderBundleEncoder\n) {\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, frameBindGroup);\n\n // Loop through every renderable object and draw them individually.\n // (Because many of these meshes are repeated, with only the transforms\n // differing, instancing would be highly effective here. This sample\n // intentionally avoids using instancing in order to emulate a more complex\n // scene, which helps demonstrate the potential time savings a render bundle\n // can provide.)\n let count = 0;\n for (const renderable of renderables) {\n passEncoder.setBindGroup(1, renderable.bindGroup);\n passEncoder.setVertexBuffer(0, renderable.vertices);\n passEncoder.setIndexBuffer(renderable.indices, 'uint16');\n passEncoder.drawIndexed(renderable.indexCount);\n\n if (++count > settings.asteroidCount) {\n break;\n }\n }\n}\n\n// The render bundle can be encoded once and re-used as many times as needed.\n// Because it encodes all of the commands needed to render at the GPU level,\n// those commands will not need to execute the associated JavaScript code upon\n// execution or be re-validated, which can represent a significant time savings.\n//\n// However, because render bundles are immutable once created, they are only\n// appropriate for rendering content where the same commands will be executed\n// every time, with the only changes being the contents of the buffers and\n// textures used. Cases where the executed commands differ from frame-to-frame,\n// such as when using frustrum or occlusion culling, will not benefit from\n// using render bundles as much.\nlet renderBundle;\nfunction updateRenderBundle() {\n const renderBundleEncoder = device.createRenderBundleEncoder({\n colorFormats: [presentationFormat],\n depthStencilFormat: 'depth24plus',\n });\n renderScene(renderBundleEncoder);\n renderBundle = renderBundleEncoder.finish();\n}\nupdateRenderBundle();\n\nconst stats = new Stats();\nstats.showPanel(1); // 0: fps, 1: ms, 2: mb, 3+: custom\ndocument.body.appendChild(stats.dom);\n\nfunction frame() {\n stats.begin();\n\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n\n if (settings.useRenderBundles) {\n // Executing a bundle is equivalent to calling all of the commands encoded\n // in the render bundle as part of the current render pass.\n passEncoder.executeBundles([renderBundle]);\n } else {\n // Alternatively, the same render commands can be encoded manually, which\n // can take longer since each command needs to be interpreted by the\n // JavaScript virtual machine and re-validated each time.\n renderScene(passEncoder);\n }\n\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n stats.end();\n\n 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\ No newline at end of file diff --git a/sample/renderBundles/main.ts b/sample/renderBundles/main.ts index 9a72d3f9..2d50bcfb 100644 --- a/sample/renderBundles/main.ts +++ b/sample/renderBundles/main.ts @@ -233,7 +233,7 @@ function createSphereBindGroup( return bindGroup; } -const transform = mat4.create() as Float32Array; +const transform = mat4.create(); mat4.identity(transform); // Create one large central planet surrounded by a large ring of asteroids @@ -318,7 +318,7 @@ function getTransformationMatrix() { mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); - return modelViewProjectionMatrix as Float32Array; + return modelViewProjectionMatrix; } // Render bundles function as partial, limited render passes, so we can use the diff --git a/sample/reversedZ/main.js b/sample/reversedZ/main.js index 7ea1d67a..94a221e1 100644 --- a/sample/reversedZ/main.js +++ b/sample/reversedZ/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Generates am typed API for Vec3 */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); } - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,945 +744,1699 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); } - return copy$3(a, dst); + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Return the vector exactly between 2 endpoint vectors - * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - /** - * 4x4 Matrix math math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this - * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix - * - * or - * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always save to pass any matrix as the destination. So for example - * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. - * - */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; -} -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in - * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. - */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } } } } @@ -1082,1449 +2452,3039 @@ function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v1 } } } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Creates a 4-by-4 identity matrix. + +/* + * Copyright 2022 Gregg Tavares * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; +/** + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } -let xAxis; -let yAxis; -let zAxis; +const cache$1 = new Map(); /** - * Computes a 4-by-4 aim transformation. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Quat4 math functions. * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * or * - * Note: this is the inverse of `lookAt` + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * It is always safe to pass any vector as the destination. So for example + * + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} /** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * + * Vec4 math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this + * + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. + * + * or + * + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always safe to pass any vector as the destination. So for example + * + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -5167,7 +8127,7 @@ const yCount = 5; const numInstances = xCount * yCount; const matrixFloatCount = 16; // 4x4 matrix const matrixStride = 4 * matrixFloatCount; // 64; -const depthRangeRemapMatrix = mat4Impl.identity(); +const depthRangeRemapMatrix = mat4.identity(); depthRangeRemapMatrix[10] = -1; depthRangeRemapMatrix[14] = 1; var DepthBufferMode; @@ -5568,28 +8528,26 @@ for (let x = 0; x < xCount; x++) { for (let y = 0; y < yCount; y++) { const z = -800 * m; const s = 1 + 50 * m; - modelMatrices[m] = mat4Impl.translation(vec3Impl.fromValues(x - xCount / 2 + 0.5, (4.0 - 0.2 * z) * (y - yCount / 2 + 1.0), z)); - mat4Impl.scale(modelMatrices[m], vec3Impl.fromValues(s, s, s), modelMatrices[m]); + modelMatrices[m] = mat4.translation(vec3.fromValues(x - xCount / 2 + 0.5, (4.0 - 0.2 * z) * (y - yCount / 2 + 1.0), z)); + mat4.scale(modelMatrices[m], vec3.fromValues(s, s, s), modelMatrices[m]); m++; } } -const viewMatrix = mat4Impl.translation(vec3Impl.fromValues(0, 0, -12)); +const viewMatrix = mat4.translation(vec3.fromValues(0, 0, -12)); const aspect = (0.5 * canvas.width) / canvas.height; // wgpu-matrix perspective doesn't handle zFar === Infinity now. // https://github.com/greggman/wgpu-matrix/issues/9 -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 5, 9999); -const viewProjectionMatrix = mat4Impl.multiply(projectionMatrix, viewMatrix); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 5, 9999); +const viewProjectionMatrix = mat4.multiply(projectionMatrix, viewMatrix); // to use 1/z we just multiple depthRangeRemapMatrix to our default camera view projection matrix -const reversedRangeViewProjectionMatrix = mat4Impl.multiply(depthRangeRemapMatrix, viewProjectionMatrix); -let bufferData = viewProjectionMatrix; -device.queue.writeBuffer(cameraMatrixBuffer, 0, bufferData.buffer, bufferData.byteOffset, bufferData.byteLength); -bufferData = reversedRangeViewProjectionMatrix; -device.queue.writeBuffer(cameraMatrixReversedDepthBuffer, 0, bufferData.buffer, bufferData.byteOffset, bufferData.byteLength); -const tmpMat4 = mat4Impl.create(); +const reversedRangeViewProjectionMatrix = mat4.multiply(depthRangeRemapMatrix, viewProjectionMatrix); +device.queue.writeBuffer(cameraMatrixBuffer, 0, viewProjectionMatrix); +device.queue.writeBuffer(cameraMatrixReversedDepthBuffer, 0, reversedRangeViewProjectionMatrix); +const tmpMat4 = mat4.create(); function updateTransformationMatrix() { const now = Date.now() / 1000; for (let i = 0, m = 0; i < numInstances; i++, m += matrixFloatCount) { - mat4Impl.rotate(modelMatrices[i], vec3Impl.fromValues(Math.sin(now), Math.cos(now), 0), (Math.PI / 180) * 30, tmpMat4); + mat4.rotate(modelMatrices[i], vec3.fromValues(Math.sin(now), Math.cos(now), 0), (Math.PI / 180) * 30, tmpMat4); mvpMatricesData.set(tmpMat4, m); } } diff --git a/sample/reversedZ/main.js.map b/sample/reversedZ/main.js.map index 834b478b..6bcffaf9 100644 --- a/sample/reversedZ/main.js.map +++ b/sample/reversedZ/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/reversedZ/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport vertexWGSL from './vertex.wgsl';\nimport fragmentWGSL from './fragment.wgsl';\nimport vertexDepthPrePassWGSL from './vertexDepthPrePass.wgsl';\nimport vertexTextureQuadWGSL from './vertexTextureQuad.wgsl';\nimport fragmentTextureQuadWGSL from './fragmentTextureQuad.wgsl';\nimport vertexPrecisionErrorPassWGSL from './vertexPrecisionErrorPass.wgsl';\nimport fragmentPrecisionErrorPassWGSL from './fragmentPrecisionErrorPass.wgsl';\n\n// Two planes close to each other for depth precision test\nconst geometryVertexSize = 4 * 8; // Byte size of one geometry vertex.\nconst geometryPositionOffset = 0;\nconst geometryColorOffset = 4 * 4; // Byte offset of geometry vertex color attribute.\nconst geometryDrawCount = 6 * 2;\n\nconst d = 0.0001; // half distance between two planes\nconst o = 0.5; // half x offset to shift planes so they are only partially overlaping\n\n// prettier-ignore\nexport const geometryVertexArray = new Float32Array([\n // float4 position, float4 color\n -1 - o, -1, d, 1, 1, 0, 0, 1,\n 1 - o, -1, d, 1, 1, 0, 0, 1,\n -1 - o, 1, d, 1, 1, 0, 0, 1,\n 1 - o, -1, d, 1, 1, 0, 0, 1,\n 1 - o, 1, d, 1, 1, 0, 0, 1,\n -1 - o, 1, d, 1, 1, 0, 0, 1,\n\n -1 + o, -1, -d, 1, 0, 1, 0, 1,\n 1 + o, -1, -d, 1, 0, 1, 0, 1,\n -1 + o, 1, -d, 1, 0, 1, 0, 1,\n 1 + o, -1, -d, 1, 0, 1, 0, 1,\n 1 + o, 1, -d, 1, 0, 1, 0, 1,\n -1 + o, 1, -d, 1, 0, 1, 0, 1,\n]);\n\nconst xCount = 1;\nconst yCount = 5;\nconst numInstances = xCount * yCount;\nconst matrixFloatCount = 16; // 4x4 matrix\nconst matrixStride = 4 * matrixFloatCount; // 64;\n\nconst depthRangeRemapMatrix = mat4.identity();\ndepthRangeRemapMatrix[10] = -1;\ndepthRangeRemapMatrix[14] = 1;\n\nenum DepthBufferMode {\n Default = 0,\n Reversed,\n}\n\nconst depthBufferModes: DepthBufferMode[] = [\n DepthBufferMode.Default,\n DepthBufferMode.Reversed,\n];\nconst depthCompareFuncs = {\n [DepthBufferMode.Default]: 'less' as GPUCompareFunction,\n [DepthBufferMode.Reversed]: 'greater' as GPUCompareFunction,\n};\nconst depthClearValues = {\n [DepthBufferMode.Default]: 1.0,\n [DepthBufferMode.Reversed]: 0.0,\n};\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst verticesBuffer = device.createBuffer({\n size: geometryVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(geometryVertexArray);\nverticesBuffer.unmap();\n\nconst depthBufferFormat = 'depth32float';\n\nconst depthTextureBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'depth',\n },\n },\n ],\n});\n\n// Model, view, projection matrices\nconst uniformBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.VERTEX,\n buffer: {\n type: 'uniform',\n },\n },\n ],\n});\n\nconst depthPrePassRenderPipelineLayout = device.createPipelineLayout({\n bindGroupLayouts: [uniformBindGroupLayout],\n});\n\n// depthPrePass is used to render scene to the depth texture\n// this is not needed if you just want to use reversed z to render a scene\nconst depthPrePassRenderPipelineDescriptorBase = {\n layout: depthPrePassRenderPipelineLayout,\n vertex: {\n module: device.createShaderModule({\n code: vertexDepthPrePassWGSL,\n }),\n buffers: [\n {\n arrayStride: geometryVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: geometryPositionOffset,\n format: 'float32x4',\n },\n ],\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthBufferFormat,\n },\n} as GPURenderPipelineDescriptor;\n\n// we need the depthCompare to fit the depth buffer mode we are using.\n// this is the same for other passes\nconst depthPrePassPipelines: GPURenderPipeline[] = [];\ndepthPrePassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Default];\ndepthPrePassPipelines[DepthBufferMode.Default] = device.createRenderPipeline(\n depthPrePassRenderPipelineDescriptorBase\n);\ndepthPrePassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Reversed];\ndepthPrePassPipelines[DepthBufferMode.Reversed] = device.createRenderPipeline(\n depthPrePassRenderPipelineDescriptorBase\n);\n\n// precisionPass is to draw precision error as color of depth value stored in depth buffer\n// compared to that directly calcualated in the shader\nconst precisionPassRenderPipelineLayout = device.createPipelineLayout({\n bindGroupLayouts: [uniformBindGroupLayout, depthTextureBindGroupLayout],\n});\nconst precisionPassRenderPipelineDescriptorBase = {\n layout: precisionPassRenderPipelineLayout,\n vertex: {\n module: device.createShaderModule({\n code: vertexPrecisionErrorPassWGSL,\n }),\n buffers: [\n {\n arrayStride: geometryVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: geometryPositionOffset,\n format: 'float32x4',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentPrecisionErrorPassWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthBufferFormat,\n },\n} as GPURenderPipelineDescriptor;\nconst precisionPassPipelines: GPURenderPipeline[] = [];\nprecisionPassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Default];\nprecisionPassPipelines[DepthBufferMode.Default] = device.createRenderPipeline(\n precisionPassRenderPipelineDescriptorBase\n);\nprecisionPassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Reversed];\n// prettier-ignore\nprecisionPassPipelines[DepthBufferMode.Reversed] = device.createRenderPipeline(\n precisionPassRenderPipelineDescriptorBase\n);\n\n// colorPass is the regular render pass to render the scene\nconst colorPassRenderPiplineLayout = device.createPipelineLayout({\n bindGroupLayouts: [uniformBindGroupLayout],\n});\nconst colorPassRenderPipelineDescriptorBase: GPURenderPipelineDescriptor = {\n layout: colorPassRenderPiplineLayout,\n vertex: {\n module: device.createShaderModule({\n code: vertexWGSL,\n }),\n buffers: [\n {\n arrayStride: geometryVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: geometryPositionOffset,\n format: 'float32x4',\n },\n {\n // color\n shaderLocation: 1,\n offset: geometryColorOffset,\n format: 'float32x4',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthBufferFormat,\n },\n};\nconst colorPassPipelines: GPURenderPipeline[] = [];\ncolorPassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Default];\ncolorPassPipelines[DepthBufferMode.Default] = device.createRenderPipeline(\n colorPassRenderPipelineDescriptorBase\n);\ncolorPassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Reversed];\ncolorPassPipelines[DepthBufferMode.Reversed] = device.createRenderPipeline(\n colorPassRenderPipelineDescriptorBase\n);\n\n// textureQuadPass is draw a full screen quad of depth texture\n// to see the difference of depth value using reversed z compared to default depth buffer usage\n// 0.0 will be the furthest and 1.0 will be the closest\nconst textureQuadPassPiplineLayout = device.createPipelineLayout({\n bindGroupLayouts: [depthTextureBindGroupLayout],\n});\nconst textureQuadPassPipline = device.createRenderPipeline({\n layout: textureQuadPassPiplineLayout,\n vertex: {\n module: device.createShaderModule({\n code: vertexTextureQuadWGSL,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentTextureQuadWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: depthBufferFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n});\nconst depthTextureView = depthTexture.createView();\n\nconst defaultDepthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: depthBufferFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\nconst defaultDepthTextureView = defaultDepthTexture.createView();\n\nconst depthPrePassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [],\n depthStencilAttachment: {\n view: depthTextureView,\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\n// drawPassDescriptor and drawPassLoadDescriptor are used for drawing\n// the scene twice using different depth buffer mode on splitted viewport\n// of the same canvas\n// see the difference of the loadOp of the colorAttachments\nconst drawPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n clearValue: [0.0, 0.0, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: defaultDepthTextureView,\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\nconst drawPassLoadDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // attachment is acquired and set in render loop.\n view: undefined,\n\n loadOp: 'load',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: defaultDepthTextureView,\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\nconst drawPassDescriptors = [drawPassDescriptor, drawPassLoadDescriptor];\n\nconst textureQuadPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n clearValue: [0.0, 0.0, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n};\nconst textureQuadPassLoadDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n loadOp: 'load',\n storeOp: 'store',\n },\n ],\n};\nconst textureQuadPassDescriptors = [\n textureQuadPassDescriptor,\n textureQuadPassLoadDescriptor,\n];\n\nconst depthTextureBindGroup = device.createBindGroup({\n layout: depthTextureBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: depthTextureView,\n },\n ],\n});\n\nconst uniformBufferSize = numInstances * matrixStride;\n\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst cameraMatrixBuffer = device.createBuffer({\n size: 4 * 16, // 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst cameraMatrixReversedDepthBuffer = device.createBuffer({\n size: 4 * 16, // 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroups = [\n device.createBindGroup({\n layout: uniformBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: cameraMatrixBuffer,\n },\n },\n ],\n }),\n device.createBindGroup({\n layout: uniformBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: cameraMatrixReversedDepthBuffer,\n },\n },\n ],\n }),\n];\n\ntype Mat4 = mat4.default;\nconst modelMatrices = new Array(numInstances);\nconst mvpMatricesData = new Float32Array(matrixFloatCount * numInstances);\n\nlet m = 0;\nfor (let x = 0; x < xCount; x++) {\n for (let y = 0; y < yCount; y++) {\n const z = -800 * m;\n const s = 1 + 50 * m;\n\n modelMatrices[m] = mat4.translation(\n vec3.fromValues(\n x - xCount / 2 + 0.5,\n (4.0 - 0.2 * z) * (y - yCount / 2 + 1.0),\n z\n )\n );\n mat4.scale(modelMatrices[m], vec3.fromValues(s, s, s), modelMatrices[m]);\n\n m++;\n }\n}\n\nconst viewMatrix = mat4.translation(vec3.fromValues(0, 0, -12));\n\nconst aspect = (0.5 * canvas.width) / canvas.height;\n// wgpu-matrix perspective doesn't handle zFar === Infinity now.\n// https://github.com/greggman/wgpu-matrix/issues/9\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 5, 9999);\n\nconst viewProjectionMatrix = mat4.multiply(projectionMatrix, viewMatrix);\n// to use 1/z we just multiple depthRangeRemapMatrix to our default camera view projection matrix\nconst reversedRangeViewProjectionMatrix = mat4.multiply(\n depthRangeRemapMatrix,\n viewProjectionMatrix\n);\n\nlet bufferData = viewProjectionMatrix as Float32Array;\ndevice.queue.writeBuffer(\n cameraMatrixBuffer,\n 0,\n bufferData.buffer,\n bufferData.byteOffset,\n bufferData.byteLength\n);\nbufferData = reversedRangeViewProjectionMatrix as Float32Array;\ndevice.queue.writeBuffer(\n cameraMatrixReversedDepthBuffer,\n 0,\n bufferData.buffer,\n bufferData.byteOffset,\n bufferData.byteLength\n);\n\nconst tmpMat4 = mat4.create();\nfunction updateTransformationMatrix() {\n const now = Date.now() / 1000;\n\n for (let i = 0, m = 0; i < numInstances; i++, m += matrixFloatCount) {\n mat4.rotate(\n modelMatrices[i],\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n (Math.PI / 180) * 30,\n tmpMat4\n );\n mvpMatricesData.set(tmpMat4, m);\n }\n}\n\nconst settings = {\n mode: 'color',\n};\nconst gui = new GUI();\ngui.add(settings, 'mode', ['color', 'precision-error', 'depth-texture']);\n\nfunction frame() {\n updateTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n mvpMatricesData.buffer,\n mvpMatricesData.byteOffset,\n mvpMatricesData.byteLength\n );\n\n const attachment = context.getCurrentTexture().createView();\n const commandEncoder = device.createCommandEncoder();\n if (settings.mode === 'color') {\n for (const m of depthBufferModes) {\n drawPassDescriptors[m].colorAttachments[0].view = attachment;\n drawPassDescriptors[m].depthStencilAttachment.depthClearValue =\n depthClearValues[m];\n const colorPass = commandEncoder.beginRenderPass(drawPassDescriptors[m]);\n colorPass.setPipeline(colorPassPipelines[m]);\n colorPass.setBindGroup(0, uniformBindGroups[m]);\n colorPass.setVertexBuffer(0, verticesBuffer);\n colorPass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n colorPass.draw(geometryDrawCount, numInstances, 0, 0);\n colorPass.end();\n }\n } else if (settings.mode === 'precision-error') {\n for (const m of depthBufferModes) {\n {\n depthPrePassDescriptor.depthStencilAttachment.depthClearValue =\n depthClearValues[m];\n const depthPrePass = commandEncoder.beginRenderPass(\n depthPrePassDescriptor\n );\n depthPrePass.setPipeline(depthPrePassPipelines[m]);\n depthPrePass.setBindGroup(0, uniformBindGroups[m]);\n depthPrePass.setVertexBuffer(0, verticesBuffer);\n depthPrePass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n depthPrePass.draw(geometryDrawCount, numInstances, 0, 0);\n depthPrePass.end();\n }\n {\n drawPassDescriptors[m].colorAttachments[0].view = attachment;\n drawPassDescriptors[m].depthStencilAttachment.depthClearValue =\n depthClearValues[m];\n const precisionErrorPass = commandEncoder.beginRenderPass(\n drawPassDescriptors[m]\n );\n precisionErrorPass.setPipeline(precisionPassPipelines[m]);\n precisionErrorPass.setBindGroup(0, uniformBindGroups[m]);\n precisionErrorPass.setBindGroup(1, depthTextureBindGroup);\n precisionErrorPass.setVertexBuffer(0, verticesBuffer);\n precisionErrorPass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n precisionErrorPass.draw(geometryDrawCount, numInstances, 0, 0);\n precisionErrorPass.end();\n }\n }\n } else {\n // depth texture quad\n for (const m of depthBufferModes) {\n {\n depthPrePassDescriptor.depthStencilAttachment.depthClearValue =\n depthClearValues[m];\n const depthPrePass = commandEncoder.beginRenderPass(\n depthPrePassDescriptor\n );\n depthPrePass.setPipeline(depthPrePassPipelines[m]);\n depthPrePass.setBindGroup(0, uniformBindGroups[m]);\n depthPrePass.setVertexBuffer(0, verticesBuffer);\n depthPrePass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n depthPrePass.draw(geometryDrawCount, numInstances, 0, 0);\n depthPrePass.end();\n }\n {\n textureQuadPassDescriptors[m].colorAttachments[0].view = attachment;\n const depthTextureQuadPass = commandEncoder.beginRenderPass(\n textureQuadPassDescriptors[m]\n );\n depthTextureQuadPass.setPipeline(textureQuadPassPipline);\n depthTextureQuadPass.setBindGroup(0, depthTextureBindGroup);\n depthTextureQuadPass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n depthTextureQuadPass.draw(6);\n depthTextureQuadPass.end();\n }\n }\n }\n device.queue.submit([commandEncoder.finish()]);\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/reversedZ/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4, Mat4, vec3 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport vertexWGSL from './vertex.wgsl';\nimport fragmentWGSL from './fragment.wgsl';\nimport vertexDepthPrePassWGSL from './vertexDepthPrePass.wgsl';\nimport vertexTextureQuadWGSL from './vertexTextureQuad.wgsl';\nimport fragmentTextureQuadWGSL from './fragmentTextureQuad.wgsl';\nimport vertexPrecisionErrorPassWGSL from './vertexPrecisionErrorPass.wgsl';\nimport fragmentPrecisionErrorPassWGSL from './fragmentPrecisionErrorPass.wgsl';\n\n// Two planes close to each other for depth precision test\nconst geometryVertexSize = 4 * 8; // Byte size of one geometry vertex.\nconst geometryPositionOffset = 0;\nconst geometryColorOffset = 4 * 4; // Byte offset of geometry vertex color attribute.\nconst geometryDrawCount = 6 * 2;\n\nconst d = 0.0001; // half distance between two planes\nconst o = 0.5; // half x offset to shift planes so they are only partially overlaping\n\n// prettier-ignore\nexport const geometryVertexArray = new Float32Array([\n // float4 position, float4 color\n -1 - o, -1, d, 1, 1, 0, 0, 1,\n 1 - o, -1, d, 1, 1, 0, 0, 1,\n -1 - o, 1, d, 1, 1, 0, 0, 1,\n 1 - o, -1, d, 1, 1, 0, 0, 1,\n 1 - o, 1, d, 1, 1, 0, 0, 1,\n -1 - o, 1, d, 1, 1, 0, 0, 1,\n\n -1 + o, -1, -d, 1, 0, 1, 0, 1,\n 1 + o, -1, -d, 1, 0, 1, 0, 1,\n -1 + o, 1, -d, 1, 0, 1, 0, 1,\n 1 + o, -1, -d, 1, 0, 1, 0, 1,\n 1 + o, 1, -d, 1, 0, 1, 0, 1,\n -1 + o, 1, -d, 1, 0, 1, 0, 1,\n]);\n\nconst xCount = 1;\nconst yCount = 5;\nconst numInstances = xCount * yCount;\nconst matrixFloatCount = 16; // 4x4 matrix\nconst matrixStride = 4 * matrixFloatCount; // 64;\n\nconst depthRangeRemapMatrix = mat4.identity();\ndepthRangeRemapMatrix[10] = -1;\ndepthRangeRemapMatrix[14] = 1;\n\nenum DepthBufferMode {\n Default = 0,\n Reversed,\n}\n\nconst depthBufferModes: DepthBufferMode[] = [\n DepthBufferMode.Default,\n DepthBufferMode.Reversed,\n];\nconst depthCompareFuncs = {\n [DepthBufferMode.Default]: 'less' as GPUCompareFunction,\n [DepthBufferMode.Reversed]: 'greater' as GPUCompareFunction,\n};\nconst depthClearValues = {\n [DepthBufferMode.Default]: 1.0,\n [DepthBufferMode.Reversed]: 0.0,\n};\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst verticesBuffer = device.createBuffer({\n size: geometryVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(geometryVertexArray);\nverticesBuffer.unmap();\n\nconst depthBufferFormat = 'depth32float';\n\nconst depthTextureBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'depth',\n },\n },\n ],\n});\n\n// Model, view, projection matrices\nconst uniformBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.VERTEX,\n buffer: {\n type: 'uniform',\n },\n },\n ],\n});\n\nconst depthPrePassRenderPipelineLayout = device.createPipelineLayout({\n bindGroupLayouts: [uniformBindGroupLayout],\n});\n\n// depthPrePass is used to render scene to the depth texture\n// this is not needed if you just want to use reversed z to render a scene\nconst depthPrePassRenderPipelineDescriptorBase = {\n layout: depthPrePassRenderPipelineLayout,\n vertex: {\n module: device.createShaderModule({\n code: vertexDepthPrePassWGSL,\n }),\n buffers: [\n {\n arrayStride: geometryVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: geometryPositionOffset,\n format: 'float32x4',\n },\n ],\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthBufferFormat,\n },\n} as GPURenderPipelineDescriptor;\n\n// we need the depthCompare to fit the depth buffer mode we are using.\n// this is the same for other passes\nconst depthPrePassPipelines: GPURenderPipeline[] = [];\ndepthPrePassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Default];\ndepthPrePassPipelines[DepthBufferMode.Default] = device.createRenderPipeline(\n depthPrePassRenderPipelineDescriptorBase\n);\ndepthPrePassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Reversed];\ndepthPrePassPipelines[DepthBufferMode.Reversed] = device.createRenderPipeline(\n depthPrePassRenderPipelineDescriptorBase\n);\n\n// precisionPass is to draw precision error as color of depth value stored in depth buffer\n// compared to that directly calcualated in the shader\nconst precisionPassRenderPipelineLayout = device.createPipelineLayout({\n bindGroupLayouts: [uniformBindGroupLayout, depthTextureBindGroupLayout],\n});\nconst precisionPassRenderPipelineDescriptorBase = {\n layout: precisionPassRenderPipelineLayout,\n vertex: {\n module: device.createShaderModule({\n code: vertexPrecisionErrorPassWGSL,\n }),\n buffers: [\n {\n arrayStride: geometryVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: geometryPositionOffset,\n format: 'float32x4',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentPrecisionErrorPassWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthBufferFormat,\n },\n} as GPURenderPipelineDescriptor;\nconst precisionPassPipelines: GPURenderPipeline[] = [];\nprecisionPassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Default];\nprecisionPassPipelines[DepthBufferMode.Default] = device.createRenderPipeline(\n precisionPassRenderPipelineDescriptorBase\n);\nprecisionPassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Reversed];\n// prettier-ignore\nprecisionPassPipelines[DepthBufferMode.Reversed] = device.createRenderPipeline(\n precisionPassRenderPipelineDescriptorBase\n);\n\n// colorPass is the regular render pass to render the scene\nconst colorPassRenderPiplineLayout = device.createPipelineLayout({\n bindGroupLayouts: [uniformBindGroupLayout],\n});\nconst colorPassRenderPipelineDescriptorBase: GPURenderPipelineDescriptor = {\n layout: colorPassRenderPiplineLayout,\n vertex: {\n module: device.createShaderModule({\n code: vertexWGSL,\n }),\n buffers: [\n {\n arrayStride: geometryVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: geometryPositionOffset,\n format: 'float32x4',\n },\n {\n // color\n shaderLocation: 1,\n offset: geometryColorOffset,\n format: 'float32x4',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthBufferFormat,\n },\n};\nconst colorPassPipelines: GPURenderPipeline[] = [];\ncolorPassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Default];\ncolorPassPipelines[DepthBufferMode.Default] = device.createRenderPipeline(\n colorPassRenderPipelineDescriptorBase\n);\ncolorPassRenderPipelineDescriptorBase.depthStencil.depthCompare =\n depthCompareFuncs[DepthBufferMode.Reversed];\ncolorPassPipelines[DepthBufferMode.Reversed] = device.createRenderPipeline(\n colorPassRenderPipelineDescriptorBase\n);\n\n// textureQuadPass is draw a full screen quad of depth texture\n// to see the difference of depth value using reversed z compared to default depth buffer usage\n// 0.0 will be the furthest and 1.0 will be the closest\nconst textureQuadPassPiplineLayout = device.createPipelineLayout({\n bindGroupLayouts: [depthTextureBindGroupLayout],\n});\nconst textureQuadPassPipline = device.createRenderPipeline({\n layout: textureQuadPassPiplineLayout,\n vertex: {\n module: device.createShaderModule({\n code: vertexTextureQuadWGSL,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentTextureQuadWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: depthBufferFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n});\nconst depthTextureView = depthTexture.createView();\n\nconst defaultDepthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: depthBufferFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\nconst defaultDepthTextureView = defaultDepthTexture.createView();\n\nconst depthPrePassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [],\n depthStencilAttachment: {\n view: depthTextureView,\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\n// drawPassDescriptor and drawPassLoadDescriptor are used for drawing\n// the scene twice using different depth buffer mode on splitted viewport\n// of the same canvas\n// see the difference of the loadOp of the colorAttachments\nconst drawPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n clearValue: [0.0, 0.0, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: defaultDepthTextureView,\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\nconst drawPassLoadDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // attachment is acquired and set in render loop.\n view: undefined,\n\n loadOp: 'load',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: defaultDepthTextureView,\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\nconst drawPassDescriptors = [drawPassDescriptor, drawPassLoadDescriptor];\n\nconst textureQuadPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n clearValue: [0.0, 0.0, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n};\nconst textureQuadPassLoadDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n loadOp: 'load',\n storeOp: 'store',\n },\n ],\n};\nconst textureQuadPassDescriptors = [\n textureQuadPassDescriptor,\n textureQuadPassLoadDescriptor,\n];\n\nconst depthTextureBindGroup = device.createBindGroup({\n layout: depthTextureBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: depthTextureView,\n },\n ],\n});\n\nconst uniformBufferSize = numInstances * matrixStride;\n\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst cameraMatrixBuffer = device.createBuffer({\n size: 4 * 16, // 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\nconst cameraMatrixReversedDepthBuffer = device.createBuffer({\n size: 4 * 16, // 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroups = [\n device.createBindGroup({\n layout: uniformBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: cameraMatrixBuffer,\n },\n },\n ],\n }),\n device.createBindGroup({\n layout: uniformBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: cameraMatrixReversedDepthBuffer,\n },\n },\n ],\n }),\n];\n\nconst modelMatrices = new Array(numInstances);\nconst mvpMatricesData = new Float32Array(matrixFloatCount * numInstances);\n\nlet m = 0;\nfor (let x = 0; x < xCount; x++) {\n for (let y = 0; y < yCount; y++) {\n const z = -800 * m;\n const s = 1 + 50 * m;\n\n modelMatrices[m] = mat4.translation(\n vec3.fromValues(\n x - xCount / 2 + 0.5,\n (4.0 - 0.2 * z) * (y - yCount / 2 + 1.0),\n z\n )\n );\n mat4.scale(modelMatrices[m], vec3.fromValues(s, s, s), modelMatrices[m]);\n\n m++;\n }\n}\n\nconst viewMatrix = mat4.translation(vec3.fromValues(0, 0, -12));\n\nconst aspect = (0.5 * canvas.width) / canvas.height;\n// wgpu-matrix perspective doesn't handle zFar === Infinity now.\n// https://github.com/greggman/wgpu-matrix/issues/9\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 5, 9999);\n\nconst viewProjectionMatrix = mat4.multiply(projectionMatrix, viewMatrix);\n// to use 1/z we just multiple depthRangeRemapMatrix to our default camera view projection matrix\nconst reversedRangeViewProjectionMatrix = mat4.multiply(\n depthRangeRemapMatrix,\n viewProjectionMatrix\n);\n\ndevice.queue.writeBuffer(cameraMatrixBuffer, 0, viewProjectionMatrix);\ndevice.queue.writeBuffer(\n cameraMatrixReversedDepthBuffer,\n 0,\n reversedRangeViewProjectionMatrix\n);\n\nconst tmpMat4 = mat4.create();\nfunction updateTransformationMatrix() {\n const now = Date.now() / 1000;\n\n for (let i = 0, m = 0; i < numInstances; i++, m += matrixFloatCount) {\n mat4.rotate(\n modelMatrices[i],\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n (Math.PI / 180) * 30,\n tmpMat4\n );\n mvpMatricesData.set(tmpMat4, m);\n }\n}\n\nconst settings = {\n mode: 'color',\n};\nconst gui = new GUI();\ngui.add(settings, 'mode', ['color', 'precision-error', 'depth-texture']);\n\nfunction frame() {\n updateTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n mvpMatricesData.buffer,\n mvpMatricesData.byteOffset,\n mvpMatricesData.byteLength\n );\n\n const attachment = context.getCurrentTexture().createView();\n const commandEncoder = device.createCommandEncoder();\n if (settings.mode === 'color') {\n for (const m of depthBufferModes) {\n drawPassDescriptors[m].colorAttachments[0].view = attachment;\n drawPassDescriptors[m].depthStencilAttachment.depthClearValue =\n depthClearValues[m];\n const colorPass = commandEncoder.beginRenderPass(drawPassDescriptors[m]);\n colorPass.setPipeline(colorPassPipelines[m]);\n colorPass.setBindGroup(0, uniformBindGroups[m]);\n colorPass.setVertexBuffer(0, verticesBuffer);\n colorPass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n colorPass.draw(geometryDrawCount, numInstances, 0, 0);\n colorPass.end();\n }\n } else if (settings.mode === 'precision-error') {\n for (const m of depthBufferModes) {\n {\n depthPrePassDescriptor.depthStencilAttachment.depthClearValue =\n depthClearValues[m];\n const depthPrePass = commandEncoder.beginRenderPass(\n depthPrePassDescriptor\n );\n depthPrePass.setPipeline(depthPrePassPipelines[m]);\n depthPrePass.setBindGroup(0, uniformBindGroups[m]);\n depthPrePass.setVertexBuffer(0, verticesBuffer);\n depthPrePass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n depthPrePass.draw(geometryDrawCount, numInstances, 0, 0);\n depthPrePass.end();\n }\n {\n drawPassDescriptors[m].colorAttachments[0].view = attachment;\n drawPassDescriptors[m].depthStencilAttachment.depthClearValue =\n depthClearValues[m];\n const precisionErrorPass = commandEncoder.beginRenderPass(\n drawPassDescriptors[m]\n );\n precisionErrorPass.setPipeline(precisionPassPipelines[m]);\n precisionErrorPass.setBindGroup(0, uniformBindGroups[m]);\n precisionErrorPass.setBindGroup(1, depthTextureBindGroup);\n precisionErrorPass.setVertexBuffer(0, verticesBuffer);\n precisionErrorPass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n precisionErrorPass.draw(geometryDrawCount, numInstances, 0, 0);\n precisionErrorPass.end();\n }\n }\n } else {\n // depth texture quad\n for (const m of depthBufferModes) {\n {\n depthPrePassDescriptor.depthStencilAttachment.depthClearValue =\n depthClearValues[m];\n const depthPrePass = commandEncoder.beginRenderPass(\n depthPrePassDescriptor\n );\n depthPrePass.setPipeline(depthPrePassPipelines[m]);\n depthPrePass.setBindGroup(0, uniformBindGroups[m]);\n depthPrePass.setVertexBuffer(0, verticesBuffer);\n depthPrePass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n depthPrePass.draw(geometryDrawCount, numInstances, 0, 0);\n depthPrePass.end();\n }\n {\n textureQuadPassDescriptors[m].colorAttachments[0].view = attachment;\n const depthTextureQuadPass = commandEncoder.beginRenderPass(\n textureQuadPassDescriptors[m]\n );\n depthTextureQuadPass.setPipeline(textureQuadPassPipline);\n depthTextureQuadPass.setBindGroup(0, depthTextureBindGroup);\n depthTextureQuadPass.setViewport(\n (canvas.width * m) / 2,\n 0,\n canvas.width / 2,\n canvas.height,\n 0,\n 1\n );\n depthTextureQuadPass.draw(6);\n depthTextureQuadPass.end();\n }\n }\n }\n device.queue.submit([commandEncoder.finish()]);\n 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\ No newline at end of file diff --git a/sample/reversedZ/main.ts b/sample/reversedZ/main.ts index 65ff3f1d..bda1c2d7 100644 --- a/sample/reversedZ/main.ts +++ b/sample/reversedZ/main.ts @@ -1,4 +1,4 @@ -import { mat4, vec3 } from 'wgpu-matrix'; +import { mat4, Mat4, vec3 } from 'wgpu-matrix'; import { GUI } from 'dat.gui'; import vertexWGSL from './vertex.wgsl'; @@ -480,7 +480,6 @@ const uniformBindGroups = [ }), ]; -type Mat4 = mat4.default; const modelMatrices = new Array(numInstances); const mvpMatricesData = new Float32Array(matrixFloatCount * numInstances); @@ -517,21 +516,11 @@ const reversedRangeViewProjectionMatrix = mat4.multiply( viewProjectionMatrix ); -let bufferData = viewProjectionMatrix as Float32Array; -device.queue.writeBuffer( - cameraMatrixBuffer, - 0, - bufferData.buffer, - bufferData.byteOffset, - bufferData.byteLength -); -bufferData = reversedRangeViewProjectionMatrix as Float32Array; +device.queue.writeBuffer(cameraMatrixBuffer, 0, viewProjectionMatrix); device.queue.writeBuffer( cameraMatrixReversedDepthBuffer, 0, - bufferData.buffer, - bufferData.byteOffset, - bufferData.byteLength + reversedRangeViewProjectionMatrix ); const tmpMat4 = mat4.create(); diff --git a/sample/rotatingCube/main.js b/sample/rotatingCube/main.js index c1a2566c..092498bc 100644 --- a/sample/rotatingCube/main.js +++ b/sample/rotatingCube/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,1412 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; +} +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +1483,4008 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; } - return copy$3(a, dst); + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * Vec4 math functions. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. - * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); const cubeVertexSize = 4 * 10; // Byte size of one cube vertex. const cubePositionOffset = 0; @@ -2714,14 +5674,14 @@ const renderPassDescriptor = { }, }; const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); -const modelViewProjectionMatrix = mat4Impl.create(); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); +const modelViewProjectionMatrix = mat4.create(); function getTransformationMatrix() { - const viewMatrix = mat4Impl.identity(); - mat4Impl.translate(viewMatrix, vec3Impl.fromValues(0, 0, -4), viewMatrix); + const viewMatrix = mat4.identity(); + mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix); const now = Date.now() / 1000; - mat4Impl.rotate(viewMatrix, vec3Impl.fromValues(Math.sin(now), Math.cos(now), 0), 1, viewMatrix); - mat4Impl.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); + mat4.rotate(viewMatrix, vec3.fromValues(Math.sin(now), Math.cos(now), 0), 1, viewMatrix); + mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); return modelViewProjectionMatrix; } function frame() { diff --git a/sample/rotatingCube/main.js.map b/sample/rotatingCube/main.js.map index 2cebe85c..effa1dc8 100644 --- a/sample/rotatingCube/main.js.map +++ b/sample/rotatingCube/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/rotatingCube/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nfunction getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n viewMatrix\n );\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix as Float32Array;\n}\n\nfunction frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.draw(cubeVertexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/rotatingCube/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nfunction getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n viewMatrix\n );\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix;\n}\n\nfunction frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.draw(cubeVertexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/rotatingCube/main.ts b/sample/rotatingCube/main.ts index cea6b992..5dd83191 100644 --- a/sample/rotatingCube/main.ts +++ b/sample/rotatingCube/main.ts @@ -151,7 +151,7 @@ function getTransformationMatrix() { mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); - return modelViewProjectionMatrix as Float32Array; + return modelViewProjectionMatrix; } function frame() { diff --git a/sample/samplerParameters/main.js b/sample/samplerParameters/main.js index 9fe1ae1f..7536d553 100644 --- a/sample/samplerParameters/main.js +++ b/sample/samplerParameters/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,222 +54,2389 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let VecType$1 = Float32Array; /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; -} -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * 4x4 Matrix math math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this - * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix - * - * or - * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. +/* + * Copyright 2022 Gregg Tavares * - * It is always save to pass any matrix as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let MatType = Float32Array; /** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; +} +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in - * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. - */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } } } } @@ -275,1449 +2452,3039 @@ function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v1 } } } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Creates a 4-by-4 identity matrix. + +/* + * Copyright 2022 Gregg Tavares * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} /** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } -let xAxis; -let yAxis; -let zAxis; +const cache$1 = new Map(); /** - * Computes a 4-by-4 aim transformation. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Quat4 math functions. * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * or * - * Note: this is the inverse of `lookAt` + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * It is always safe to pass any vector as the destination. So for example + * + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} /** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * + * Vec4 math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this + * + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. + * + * or + * + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always safe to pass any vector as the destination. So for example + * + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -4307,24 +8074,24 @@ fn fmain(vary: Varying) -> @location(0) vec4f { const kMatrices = new Float32Array([ // Row 1: Scale by 2 - ...mat4Impl.scale(mat4Impl.rotationZ(Math.PI / 16), [2, 2, 1]), - ...mat4Impl.scale(mat4Impl.identity(), [2, 2, 1]), - ...mat4Impl.scale(mat4Impl.rotationX(-Math.PI * 0.3), [2, 2, 1]), - ...mat4Impl.scale(mat4Impl.rotationX(-Math.PI * 0.42), [2, 2, 1]), + ...mat4.scale(mat4.rotationZ(Math.PI / 16), [2, 2, 1]), + ...mat4.scale(mat4.identity(), [2, 2, 1]), + ...mat4.scale(mat4.rotationX(-Math.PI * 0.3), [2, 2, 1]), + ...mat4.scale(mat4.rotationX(-Math.PI * 0.42), [2, 2, 1]), // Row 2: Scale by 1 - ...mat4Impl.rotationZ(Math.PI / 16), - ...mat4Impl.identity(), - ...mat4Impl.rotationX(-Math.PI * 0.3), - ...mat4Impl.rotationX(-Math.PI * 0.42), + ...mat4.rotationZ(Math.PI / 16), + ...mat4.identity(), + ...mat4.rotationX(-Math.PI * 0.3), + ...mat4.rotationX(-Math.PI * 0.42), // Row 3: Scale by 0.9 - ...mat4Impl.scale(mat4Impl.rotationZ(Math.PI / 16), [0.9, 0.9, 1]), - ...mat4Impl.scale(mat4Impl.identity(), [0.9, 0.9, 1]), - ...mat4Impl.scale(mat4Impl.rotationX(-Math.PI * 0.3), [0.9, 0.9, 1]), - ...mat4Impl.scale(mat4Impl.rotationX(-Math.PI * 0.42), [0.9, 0.9, 1]), + ...mat4.scale(mat4.rotationZ(Math.PI / 16), [0.9, 0.9, 1]), + ...mat4.scale(mat4.identity(), [0.9, 0.9, 1]), + ...mat4.scale(mat4.rotationX(-Math.PI * 0.3), [0.9, 0.9, 1]), + ...mat4.scale(mat4.rotationX(-Math.PI * 0.42), [0.9, 0.9, 1]), // Row 4: Scale by 0.3 - ...mat4Impl.scale(mat4Impl.rotationZ(Math.PI / 16), [0.3, 0.3, 1]), - ...mat4Impl.scale(mat4Impl.identity(), [0.3, 0.3, 1]), - ...mat4Impl.scale(mat4Impl.rotationX(-Math.PI * 0.3), [0.3, 0.3, 1]), + ...mat4.scale(mat4.rotationZ(Math.PI / 16), [0.3, 0.3, 1]), + ...mat4.scale(mat4.identity(), [0.3, 0.3, 1]), + ...mat4.scale(mat4.rotationX(-Math.PI * 0.3), [0.3, 0.3, 1]), ]); const canvas = document.querySelector('canvas'); const adapter = await navigator.gpu.requestAdapter(); @@ -4540,7 +8307,7 @@ const bufConfig = device.createBuffer({ }); // View-projection matrix set up so it doesn't transform anything at z=0. const kCameraDist = 3; -const viewProj = mat4Impl.translate(mat4Impl.perspective(2 * Math.atan(1 / kCameraDist), 1, 0.1, 100), [0, 0, -kCameraDist]); +const viewProj = mat4.translate(mat4.perspective(2 * Math.atan(1 / kCameraDist), 1, 0.1, 100), [0, 0, -kCameraDist]); device.queue.writeBuffer(bufConfig, 0, viewProj); const bufMatrices = device.createBuffer({ usage: GPUBufferUsage.STORAGE, diff --git a/sample/samplerParameters/main.js.map b/sample/samplerParameters/main.js.map index d3ee965a..1369c588 100644 --- a/sample/samplerParameters/main.js.map +++ b/sample/samplerParameters/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/samplerParameters/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport texturedSquareWGSL from './texturedSquare.wgsl';\nimport showTextureWGSL from './showTexture.wgsl';\n\nconst kMatrices: Readonly = new Float32Array([\n // Row 1: Scale by 2\n ...mat4.scale(mat4.rotationZ(Math.PI / 16), [2, 2, 1]),\n ...mat4.scale(mat4.identity(), [2, 2, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.3), [2, 2, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.42), [2, 2, 1]),\n // Row 2: Scale by 1\n ...mat4.rotationZ(Math.PI / 16),\n ...mat4.identity(),\n ...mat4.rotationX(-Math.PI * 0.3),\n ...mat4.rotationX(-Math.PI * 0.42),\n // Row 3: Scale by 0.9\n ...mat4.scale(mat4.rotationZ(Math.PI / 16), [0.9, 0.9, 1]),\n ...mat4.scale(mat4.identity(), [0.9, 0.9, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.3), [0.9, 0.9, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.42), [0.9, 0.9, 1]),\n // Row 4: Scale by 0.3\n ...mat4.scale(mat4.rotationZ(Math.PI / 16), [0.3, 0.3, 1]),\n ...mat4.scale(mat4.identity(), [0.3, 0.3, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.3), [0.3, 0.3, 1]),\n]);\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\n//\n// GUI controls\n//\n\nconst kInitConfig = {\n flangeLogSize: 1.0,\n highlightFlange: false,\n animation: 0.1,\n} as const;\nconst config = { ...kInitConfig };\nconst updateConfigBuffer = () => {\n const t = (performance.now() / 1000) * 0.5;\n const data = new Float32Array([\n Math.cos(t) * config.animation,\n Math.sin(t) * config.animation,\n (2 ** config.flangeLogSize - 1) / 2,\n Number(config.highlightFlange),\n ]);\n device.queue.writeBuffer(bufConfig, 64, data);\n};\n\nconst kInitSamplerDescriptor = {\n addressModeU: 'clamp-to-edge',\n addressModeV: 'clamp-to-edge',\n magFilter: 'linear',\n minFilter: 'linear',\n mipmapFilter: 'linear',\n lodMinClamp: 0,\n lodMaxClamp: 4,\n maxAnisotropy: 1,\n} as const;\nconst samplerDescriptor: GPUSamplerDescriptor = { ...kInitSamplerDescriptor };\n\nconst gui = new GUI();\n{\n const buttons = {\n initial() {\n Object.assign(config, kInitConfig);\n Object.assign(samplerDescriptor, kInitSamplerDescriptor);\n gui.updateDisplay();\n },\n checkerboard() {\n Object.assign(config, { flangeLogSize: 10 });\n Object.assign(samplerDescriptor, {\n addressModeU: 'repeat',\n addressModeV: 'repeat',\n });\n gui.updateDisplay();\n },\n smooth() {\n Object.assign(samplerDescriptor, {\n magFilter: 'linear',\n minFilter: 'linear',\n mipmapFilter: 'linear',\n });\n gui.updateDisplay();\n },\n crunchy() {\n Object.assign(samplerDescriptor, {\n magFilter: 'nearest',\n minFilter: 'nearest',\n mipmapFilter: 'nearest',\n });\n gui.updateDisplay();\n },\n };\n const presets = gui.addFolder('Presets');\n presets.open();\n presets.add(buttons, 'initial').name('reset to initial');\n presets.add(buttons, 'checkerboard').name('checkered floor');\n presets.add(buttons, 'smooth').name('smooth (linear)');\n presets.add(buttons, 'crunchy').name('crunchy (nearest)');\n\n const flangeFold = gui.addFolder('Plane settings');\n flangeFold.open();\n flangeFold.add(config, 'flangeLogSize', 0, 10.0, 0.1).name('size = 2**');\n flangeFold.add(config, 'highlightFlange');\n flangeFold.add(config, 'animation', 0, 0.5);\n\n gui.width = 280;\n {\n const folder = gui.addFolder('GPUSamplerDescriptor');\n folder.open();\n\n const kAddressModes = ['clamp-to-edge', 'repeat', 'mirror-repeat'];\n folder.add(samplerDescriptor, 'addressModeU', kAddressModes);\n folder.add(samplerDescriptor, 'addressModeV', kAddressModes);\n\n const kFilterModes = ['nearest', 'linear'];\n folder.add(samplerDescriptor, 'magFilter', kFilterModes);\n folder.add(samplerDescriptor, 'minFilter', kFilterModes);\n const kMipmapFilterModes = ['nearest', 'linear'] as const;\n folder.add(samplerDescriptor, 'mipmapFilter', kMipmapFilterModes);\n\n const ctlMin = folder.add(samplerDescriptor, 'lodMinClamp', 0, 4, 0.1);\n const ctlMax = folder.add(samplerDescriptor, 'lodMaxClamp', 0, 4, 0.1);\n ctlMin.onChange((value: number) => {\n if (samplerDescriptor.lodMaxClamp < value) ctlMax.setValue(value);\n });\n ctlMax.onChange((value: number) => {\n if (samplerDescriptor.lodMinClamp > value) ctlMin.setValue(value);\n });\n\n {\n const folder2 = folder.addFolder(\n 'maxAnisotropy (set only if all \"linear\")'\n );\n folder2.open();\n const kMaxAnisotropy = 16;\n folder2.add(samplerDescriptor, 'maxAnisotropy', 1, kMaxAnisotropy, 1);\n }\n }\n}\n\n//\n// Canvas setup\n//\n\n// Low-res, pixelated render target so it's easier to see fine details.\nconst kCanvasSize = 200;\nconst kViewportGridSize = 4;\nconst kViewportGridStride = Math.floor(kCanvasSize / kViewportGridSize);\nconst kViewportSize = kViewportGridStride - 2;\n\n// The canvas buffer size is 200x200.\n// Compute a canvas CSS size such that there's an integer number of device\n// pixels per canvas pixel (\"integer\" or \"pixel-perfect\" scaling).\n// Note the result may be 1 pixel off since ResizeObserver is not used.\nconst kCanvasLayoutCSSSize = 600; // set by template styles\nconst kCanvasLayoutDevicePixels = kCanvasLayoutCSSSize * devicePixelRatio;\nconst kScaleFactor = Math.floor(kCanvasLayoutDevicePixels / kCanvasSize);\nconst kCanvasDevicePixels = kScaleFactor * kCanvasSize;\nconst kCanvasCSSSize = kCanvasDevicePixels / devicePixelRatio;\ncanvas.style.imageRendering = 'pixelated';\ncanvas.width = canvas.height = kCanvasSize;\ncanvas.style.minWidth = canvas.style.maxWidth = kCanvasCSSSize + 'px';\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n//\n// Initialize test texture\n//\n\n// Set up a texture with 4 mip levels, each containing a differently-colored\n// checkerboard with 1x1 pixels (so when rendered the checkerboards are\n// different sizes). This is different from a normal mipmap where each level\n// would look like a lower-resolution version of the previous one.\n// Level 0 is 16x16 white/black\n// Level 1 is 8x8 blue/black\n// Level 2 is 4x4 yellow/black\n// Level 3 is 2x2 pink/black\nconst kTextureMipLevels = 4;\nconst kTextureBaseSize = 16;\nconst checkerboard = device.createTexture({\n format: 'rgba8unorm',\n usage: GPUTextureUsage.COPY_DST | GPUTextureUsage.TEXTURE_BINDING,\n size: [kTextureBaseSize, kTextureBaseSize],\n mipLevelCount: 4,\n});\nconst checkerboardView = checkerboard.createView();\n\nconst kColorForLevel = [\n [255, 255, 255, 255],\n [30, 136, 229, 255], // blue\n [255, 193, 7, 255], // yellow\n [216, 27, 96, 255], // pink\n];\nfor (let mipLevel = 0; mipLevel < kTextureMipLevels; ++mipLevel) {\n const size = 2 ** (kTextureMipLevels - mipLevel); // 16, 8, 4, 2\n const data = new Uint8Array(size * size * 4);\n for (let y = 0; y < size; ++y) {\n for (let x = 0; x < size; ++x) {\n data.set(\n (x + y) % 2 ? kColorForLevel[mipLevel] : [0, 0, 0, 255],\n (y * size + x) * 4\n );\n }\n }\n device.queue.writeTexture(\n { texture: checkerboard, mipLevel },\n data,\n { bytesPerRow: size * 4 },\n [size, size]\n );\n}\n\n//\n// \"Debug\" view of the actual texture contents\n//\n\nconst showTextureModule = device.createShaderModule({\n code: showTextureWGSL,\n});\nconst showTexturePipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: { module: showTextureModule },\n fragment: {\n module: showTextureModule,\n targets: [{ format: presentationFormat }],\n },\n primitive: { topology: 'triangle-list' },\n});\n\nconst showTextureBG = device.createBindGroup({\n layout: showTexturePipeline.getBindGroupLayout(0),\n entries: [{ binding: 0, resource: checkerboardView }],\n});\n\n//\n// Pipeline for drawing the test squares\n//\n\nconst texturedSquareModule = device.createShaderModule({\n code: texturedSquareWGSL,\n});\n\nconst texturedSquarePipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: texturedSquareModule,\n constants: { kTextureBaseSize, kViewportSize },\n },\n fragment: {\n module: texturedSquareModule,\n targets: [{ format: presentationFormat }],\n },\n primitive: { topology: 'triangle-list' },\n});\nconst texturedSquareBGL = texturedSquarePipeline.getBindGroupLayout(0);\n\nconst bufConfig = device.createBuffer({\n usage: GPUBufferUsage.COPY_DST | GPUBufferUsage.UNIFORM,\n size: 128,\n});\n// View-projection matrix set up so it doesn't transform anything at z=0.\nconst kCameraDist = 3;\nconst viewProj = mat4.translate(\n mat4.perspective(2 * Math.atan(1 / kCameraDist), 1, 0.1, 100),\n [0, 0, -kCameraDist]\n);\ndevice.queue.writeBuffer(bufConfig, 0, viewProj as Float32Array);\n\nconst bufMatrices = device.createBuffer({\n usage: GPUBufferUsage.STORAGE,\n size: kMatrices.byteLength,\n mappedAtCreation: true,\n});\nnew Float32Array(bufMatrices.getMappedRange()).set(kMatrices);\nbufMatrices.unmap();\n\nfunction frame() {\n updateConfigBuffer();\n\n const sampler = device.createSampler({\n ...samplerDescriptor,\n maxAnisotropy:\n samplerDescriptor.minFilter === 'linear' &&\n samplerDescriptor.magFilter === 'linear' &&\n samplerDescriptor.mipmapFilter === 'linear'\n ? samplerDescriptor.maxAnisotropy\n : 1,\n });\n\n const bindGroup = device.createBindGroup({\n layout: texturedSquareBGL,\n entries: [\n { binding: 0, resource: { buffer: bufConfig } },\n { binding: 1, resource: { buffer: bufMatrices } },\n { binding: 2, resource: sampler },\n { binding: 3, resource: checkerboardView },\n ],\n });\n\n const textureView = context.getCurrentTexture().createView();\n\n const commandEncoder = device.createCommandEncoder();\n\n const renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: textureView,\n clearValue: [0.2, 0.2, 0.2, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n };\n\n const pass = commandEncoder.beginRenderPass(renderPassDescriptor);\n // Draw test squares\n pass.setPipeline(texturedSquarePipeline);\n pass.setBindGroup(0, bindGroup);\n for (let i = 0; i < kViewportGridSize ** 2 - 1; ++i) {\n const vpX = kViewportGridStride * (i % kViewportGridSize) + 1;\n const vpY = kViewportGridStride * Math.floor(i / kViewportGridSize) + 1;\n pass.setViewport(vpX, vpY, kViewportSize, kViewportSize, 0, 1);\n pass.draw(6, 1, 0, i);\n }\n // Show texture contents\n pass.setPipeline(showTexturePipeline);\n pass.setBindGroup(0, showTextureBG);\n const kLastViewport = (kViewportGridSize - 1) * kViewportGridStride + 1;\n pass.setViewport(kLastViewport, kLastViewport, 32, 32, 0, 1);\n pass.draw(6, 1, 0, 0);\n pass.setViewport(kLastViewport + 32, kLastViewport, 16, 16, 0, 1);\n pass.draw(6, 1, 0, 1);\n pass.setViewport(kLastViewport + 32, kLastViewport + 16, 8, 8, 0, 1);\n pass.draw(6, 1, 0, 2);\n pass.setViewport(kLastViewport + 32, kLastViewport + 24, 4, 4, 0, 1);\n pass.draw(6, 1, 0, 3);\n pass.end();\n\n device.queue.submit([commandEncoder.finish()]);\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/samplerParameters/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\n\nimport texturedSquareWGSL from './texturedSquare.wgsl';\nimport showTextureWGSL from './showTexture.wgsl';\n\nconst kMatrices: Readonly = new Float32Array([\n // Row 1: Scale by 2\n ...mat4.scale(mat4.rotationZ(Math.PI / 16), [2, 2, 1]),\n ...mat4.scale(mat4.identity(), [2, 2, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.3), [2, 2, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.42), [2, 2, 1]),\n // Row 2: Scale by 1\n ...mat4.rotationZ(Math.PI / 16),\n ...mat4.identity(),\n ...mat4.rotationX(-Math.PI * 0.3),\n ...mat4.rotationX(-Math.PI * 0.42),\n // Row 3: Scale by 0.9\n ...mat4.scale(mat4.rotationZ(Math.PI / 16), [0.9, 0.9, 1]),\n ...mat4.scale(mat4.identity(), [0.9, 0.9, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.3), [0.9, 0.9, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.42), [0.9, 0.9, 1]),\n // Row 4: Scale by 0.3\n ...mat4.scale(mat4.rotationZ(Math.PI / 16), [0.3, 0.3, 1]),\n ...mat4.scale(mat4.identity(), [0.3, 0.3, 1]),\n ...mat4.scale(mat4.rotationX(-Math.PI * 0.3), [0.3, 0.3, 1]),\n]);\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\n//\n// GUI controls\n//\n\nconst kInitConfig = {\n flangeLogSize: 1.0,\n highlightFlange: false,\n animation: 0.1,\n} as const;\nconst config = { ...kInitConfig };\nconst updateConfigBuffer = () => {\n const t = (performance.now() / 1000) * 0.5;\n const data = new Float32Array([\n Math.cos(t) * config.animation,\n Math.sin(t) * config.animation,\n (2 ** config.flangeLogSize - 1) / 2,\n Number(config.highlightFlange),\n ]);\n device.queue.writeBuffer(bufConfig, 64, data);\n};\n\nconst kInitSamplerDescriptor = {\n addressModeU: 'clamp-to-edge',\n addressModeV: 'clamp-to-edge',\n magFilter: 'linear',\n minFilter: 'linear',\n mipmapFilter: 'linear',\n lodMinClamp: 0,\n lodMaxClamp: 4,\n maxAnisotropy: 1,\n} as const;\nconst samplerDescriptor: GPUSamplerDescriptor = { ...kInitSamplerDescriptor };\n\nconst gui = new GUI();\n{\n const buttons = {\n initial() {\n Object.assign(config, kInitConfig);\n Object.assign(samplerDescriptor, kInitSamplerDescriptor);\n gui.updateDisplay();\n },\n checkerboard() {\n Object.assign(config, { flangeLogSize: 10 });\n Object.assign(samplerDescriptor, {\n addressModeU: 'repeat',\n addressModeV: 'repeat',\n });\n gui.updateDisplay();\n },\n smooth() {\n Object.assign(samplerDescriptor, {\n magFilter: 'linear',\n minFilter: 'linear',\n mipmapFilter: 'linear',\n });\n gui.updateDisplay();\n },\n crunchy() {\n Object.assign(samplerDescriptor, {\n magFilter: 'nearest',\n minFilter: 'nearest',\n mipmapFilter: 'nearest',\n });\n gui.updateDisplay();\n },\n };\n const presets = gui.addFolder('Presets');\n presets.open();\n presets.add(buttons, 'initial').name('reset to initial');\n presets.add(buttons, 'checkerboard').name('checkered floor');\n presets.add(buttons, 'smooth').name('smooth (linear)');\n presets.add(buttons, 'crunchy').name('crunchy (nearest)');\n\n const flangeFold = gui.addFolder('Plane settings');\n flangeFold.open();\n flangeFold.add(config, 'flangeLogSize', 0, 10.0, 0.1).name('size = 2**');\n flangeFold.add(config, 'highlightFlange');\n flangeFold.add(config, 'animation', 0, 0.5);\n\n gui.width = 280;\n {\n const folder = gui.addFolder('GPUSamplerDescriptor');\n folder.open();\n\n const kAddressModes = ['clamp-to-edge', 'repeat', 'mirror-repeat'];\n folder.add(samplerDescriptor, 'addressModeU', kAddressModes);\n folder.add(samplerDescriptor, 'addressModeV', kAddressModes);\n\n const kFilterModes = ['nearest', 'linear'];\n folder.add(samplerDescriptor, 'magFilter', kFilterModes);\n folder.add(samplerDescriptor, 'minFilter', kFilterModes);\n const kMipmapFilterModes = ['nearest', 'linear'] as const;\n folder.add(samplerDescriptor, 'mipmapFilter', kMipmapFilterModes);\n\n const ctlMin = folder.add(samplerDescriptor, 'lodMinClamp', 0, 4, 0.1);\n const ctlMax = folder.add(samplerDescriptor, 'lodMaxClamp', 0, 4, 0.1);\n ctlMin.onChange((value: number) => {\n if (samplerDescriptor.lodMaxClamp < value) ctlMax.setValue(value);\n });\n ctlMax.onChange((value: number) => {\n if (samplerDescriptor.lodMinClamp > value) ctlMin.setValue(value);\n });\n\n {\n const folder2 = folder.addFolder(\n 'maxAnisotropy (set only if all \"linear\")'\n );\n folder2.open();\n const kMaxAnisotropy = 16;\n folder2.add(samplerDescriptor, 'maxAnisotropy', 1, kMaxAnisotropy, 1);\n }\n }\n}\n\n//\n// Canvas setup\n//\n\n// Low-res, pixelated render target so it's easier to see fine details.\nconst kCanvasSize = 200;\nconst kViewportGridSize = 4;\nconst kViewportGridStride = Math.floor(kCanvasSize / kViewportGridSize);\nconst kViewportSize = kViewportGridStride - 2;\n\n// The canvas buffer size is 200x200.\n// Compute a canvas CSS size such that there's an integer number of device\n// pixels per canvas pixel (\"integer\" or \"pixel-perfect\" scaling).\n// Note the result may be 1 pixel off since ResizeObserver is not used.\nconst kCanvasLayoutCSSSize = 600; // set by template styles\nconst kCanvasLayoutDevicePixels = kCanvasLayoutCSSSize * devicePixelRatio;\nconst kScaleFactor = Math.floor(kCanvasLayoutDevicePixels / kCanvasSize);\nconst kCanvasDevicePixels = kScaleFactor * kCanvasSize;\nconst kCanvasCSSSize = kCanvasDevicePixels / devicePixelRatio;\ncanvas.style.imageRendering = 'pixelated';\ncanvas.width = canvas.height = kCanvasSize;\ncanvas.style.minWidth = canvas.style.maxWidth = kCanvasCSSSize + 'px';\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n//\n// Initialize test texture\n//\n\n// Set up a texture with 4 mip levels, each containing a differently-colored\n// checkerboard with 1x1 pixels (so when rendered the checkerboards are\n// different sizes). This is different from a normal mipmap where each level\n// would look like a lower-resolution version of the previous one.\n// Level 0 is 16x16 white/black\n// Level 1 is 8x8 blue/black\n// Level 2 is 4x4 yellow/black\n// Level 3 is 2x2 pink/black\nconst kTextureMipLevels = 4;\nconst kTextureBaseSize = 16;\nconst checkerboard = device.createTexture({\n format: 'rgba8unorm',\n usage: GPUTextureUsage.COPY_DST | GPUTextureUsage.TEXTURE_BINDING,\n size: [kTextureBaseSize, kTextureBaseSize],\n mipLevelCount: 4,\n});\nconst checkerboardView = checkerboard.createView();\n\nconst kColorForLevel = [\n [255, 255, 255, 255],\n [30, 136, 229, 255], // blue\n [255, 193, 7, 255], // yellow\n [216, 27, 96, 255], // pink\n];\nfor (let mipLevel = 0; mipLevel < kTextureMipLevels; ++mipLevel) {\n const size = 2 ** (kTextureMipLevels - mipLevel); // 16, 8, 4, 2\n const data = new Uint8Array(size * size * 4);\n for (let y = 0; y < size; ++y) {\n for (let x = 0; x < size; ++x) {\n data.set(\n (x + y) % 2 ? kColorForLevel[mipLevel] : [0, 0, 0, 255],\n (y * size + x) * 4\n );\n }\n }\n device.queue.writeTexture(\n { texture: checkerboard, mipLevel },\n data,\n { bytesPerRow: size * 4 },\n [size, size]\n );\n}\n\n//\n// \"Debug\" view of the actual texture contents\n//\n\nconst showTextureModule = device.createShaderModule({\n code: showTextureWGSL,\n});\nconst showTexturePipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: { module: showTextureModule },\n fragment: {\n module: showTextureModule,\n targets: [{ format: presentationFormat }],\n },\n primitive: { topology: 'triangle-list' },\n});\n\nconst showTextureBG = device.createBindGroup({\n layout: showTexturePipeline.getBindGroupLayout(0),\n entries: [{ binding: 0, resource: checkerboardView }],\n});\n\n//\n// Pipeline for drawing the test squares\n//\n\nconst texturedSquareModule = device.createShaderModule({\n code: texturedSquareWGSL,\n});\n\nconst texturedSquarePipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: texturedSquareModule,\n constants: { kTextureBaseSize, kViewportSize },\n },\n fragment: {\n module: texturedSquareModule,\n targets: [{ format: presentationFormat }],\n },\n primitive: { topology: 'triangle-list' },\n});\nconst texturedSquareBGL = texturedSquarePipeline.getBindGroupLayout(0);\n\nconst bufConfig = device.createBuffer({\n usage: GPUBufferUsage.COPY_DST | GPUBufferUsage.UNIFORM,\n size: 128,\n});\n// View-projection matrix set up so it doesn't transform anything at z=0.\nconst kCameraDist = 3;\nconst viewProj = mat4.translate(\n mat4.perspective(2 * Math.atan(1 / kCameraDist), 1, 0.1, 100),\n [0, 0, -kCameraDist]\n);\ndevice.queue.writeBuffer(bufConfig, 0, viewProj);\n\nconst bufMatrices = device.createBuffer({\n usage: GPUBufferUsage.STORAGE,\n size: kMatrices.byteLength,\n mappedAtCreation: true,\n});\nnew Float32Array(bufMatrices.getMappedRange()).set(kMatrices);\nbufMatrices.unmap();\n\nfunction frame() {\n updateConfigBuffer();\n\n const sampler = device.createSampler({\n ...samplerDescriptor,\n maxAnisotropy:\n samplerDescriptor.minFilter === 'linear' &&\n samplerDescriptor.magFilter === 'linear' &&\n samplerDescriptor.mipmapFilter === 'linear'\n ? samplerDescriptor.maxAnisotropy\n : 1,\n });\n\n const bindGroup = device.createBindGroup({\n layout: texturedSquareBGL,\n entries: [\n { binding: 0, resource: { buffer: bufConfig } },\n { binding: 1, resource: { buffer: bufMatrices } },\n { binding: 2, resource: sampler },\n { binding: 3, resource: checkerboardView },\n ],\n });\n\n const textureView = context.getCurrentTexture().createView();\n\n const commandEncoder = device.createCommandEncoder();\n\n const renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: textureView,\n clearValue: [0.2, 0.2, 0.2, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n };\n\n const pass = commandEncoder.beginRenderPass(renderPassDescriptor);\n // Draw test squares\n pass.setPipeline(texturedSquarePipeline);\n pass.setBindGroup(0, bindGroup);\n for (let i = 0; i < kViewportGridSize ** 2 - 1; ++i) {\n const vpX = kViewportGridStride * (i % kViewportGridSize) + 1;\n const vpY = kViewportGridStride * Math.floor(i / kViewportGridSize) + 1;\n pass.setViewport(vpX, vpY, kViewportSize, kViewportSize, 0, 1);\n pass.draw(6, 1, 0, i);\n }\n // Show texture contents\n pass.setPipeline(showTexturePipeline);\n pass.setBindGroup(0, showTextureBG);\n const kLastViewport = (kViewportGridSize - 1) * kViewportGridStride + 1;\n pass.setViewport(kLastViewport, kLastViewport, 32, 32, 0, 1);\n pass.draw(6, 1, 0, 0);\n pass.setViewport(kLastViewport + 32, kLastViewport, 16, 16, 0, 1);\n pass.draw(6, 1, 0, 1);\n pass.setViewport(kLastViewport + 32, kLastViewport + 16, 8, 8, 0, 1);\n pass.draw(6, 1, 0, 2);\n pass.setViewport(kLastViewport + 32, kLastViewport + 24, 4, 4, 0, 1);\n pass.draw(6, 1, 0, 3);\n pass.end();\n\n device.queue.submit([commandEncoder.finish()]);\n 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\ No newline at end of file diff --git a/sample/samplerParameters/main.ts b/sample/samplerParameters/main.ts index 7b357f45..4917ecad 100644 --- a/sample/samplerParameters/main.ts +++ b/sample/samplerParameters/main.ts @@ -276,7 +276,7 @@ const viewProj = mat4.translate( mat4.perspective(2 * Math.atan(1 / kCameraDist), 1, 0.1, 100), [0, 0, -kCameraDist] ); -device.queue.writeBuffer(bufConfig, 0, viewProj as Float32Array); +device.queue.writeBuffer(bufConfig, 0, viewProj); const bufMatrices = device.createBuffer({ usage: GPUBufferUsage.STORAGE, diff --git a/sample/shadowMapping/main.js b/sample/shadowMapping/main.js index c5d7c921..9246434a 100644 --- a/sample/shadowMapping/main.js +++ b/sample/shadowMapping/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Generates am typed API for Vec3 */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); } - return dst; + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +744,4747 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} /** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; } - return copy$3(a, dst); + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. - * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. + * Vec4 math functions. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); // from github.com/hughsk/stanford-dragon var dragonRawData = { @@ -2567,7 +5527,7 @@ function generateNormals(maxAngle, positions, triangles) { const v1 = positions[n1]; const v2 = positions[n2]; const v3 = positions[n3]; - faceNormals.push(vec3Impl.normalize(vec3Impl.cross(vec3Impl.subtract(v2, v1), vec3Impl.subtract(v3, v1)))); + faceNormals.push(vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))); } let tempVerts = {}; let tempVertNdx = 0; @@ -2656,12 +5616,12 @@ function generateNormals(maxAngle, positions, triangles) { faces.forEach((faceNdx) => { // is this face facing the same way const otherFaceNormal = faceNormals[faceNdx]; - const dot = vec3Impl.dot(thisFaceNormal, otherFaceNormal); + const dot = vec3.dot(thisFaceNormal, otherFaceNormal); if (dot > maxAngleCos) { - vec3Impl.add(norm, otherFaceNormal, norm); + vec3.add(norm, otherFaceNormal, norm); } }); - vec3Impl.normalize(norm, norm); + vec3.normalize(norm, norm); newTriangle.push(getNewVertIndex(positions[ndx], norm)); } newTriangles.push(newTriangle); @@ -3082,14 +6042,14 @@ const modelBindGroup = device.createBindGroup({ }, ], }); -const eyePosition = vec3Impl.fromValues(0, 50, -100); -const upVector = vec3Impl.fromValues(0, 1, 0); -const origin = vec3Impl.fromValues(0, 0, 0); -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0); -const viewMatrix = mat4Impl.lookAt(eyePosition, origin, upVector); -const lightPosition = vec3Impl.fromValues(50, 100, -100); -const lightViewMatrix = mat4Impl.lookAt(lightPosition, origin, upVector); -const lightProjectionMatrix = mat4Impl.create(); +const eyePosition = vec3.fromValues(0, 50, -100); +const upVector = vec3.fromValues(0, 1, 0); +const origin = vec3.fromValues(0, 0, 0); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0); +const viewMatrix = mat4.lookAt(eyePosition, origin, upVector); +const lightPosition = vec3.fromValues(50, 100, -100); +const lightViewMatrix = mat4.lookAt(lightPosition, origin, upVector); +const lightProjectionMatrix = mat4.create(); { const left = -80; const right = 80; @@ -3097,31 +6057,27 @@ const lightProjectionMatrix = mat4Impl.create(); const top = 80; const near = -200; const far = 300; - mat4Impl.ortho(left, right, bottom, top, near, far, lightProjectionMatrix); + mat4.ortho(left, right, bottom, top, near, far, lightProjectionMatrix); } -const lightViewProjMatrix = mat4Impl.multiply(lightProjectionMatrix, lightViewMatrix); -const viewProjMatrix = mat4Impl.multiply(projectionMatrix, viewMatrix); +const lightViewProjMatrix = mat4.multiply(lightProjectionMatrix, lightViewMatrix); +const viewProjMatrix = mat4.multiply(projectionMatrix, viewMatrix); // Move the model so it's centered. -const modelMatrix = mat4Impl.translation([0, -45, 0]); +const modelMatrix = mat4.translation([0, -45, 0]); // The camera/light aren't moving, so write them into buffers now. { - const lightMatrixData = lightViewProjMatrix; - device.queue.writeBuffer(sceneUniformBuffer, 0, lightMatrixData.buffer, lightMatrixData.byteOffset, lightMatrixData.byteLength); - const cameraMatrixData = viewProjMatrix; - device.queue.writeBuffer(sceneUniformBuffer, 64, cameraMatrixData.buffer, cameraMatrixData.byteOffset, cameraMatrixData.byteLength); - const lightData = lightPosition; - device.queue.writeBuffer(sceneUniformBuffer, 128, lightData.buffer, lightData.byteOffset, lightData.byteLength); - const modelData = modelMatrix; - device.queue.writeBuffer(modelUniformBuffer, 0, modelData.buffer, modelData.byteOffset, modelData.byteLength); + device.queue.writeBuffer(sceneUniformBuffer, 0, lightViewProjMatrix); + device.queue.writeBuffer(sceneUniformBuffer, 64, lightViewProjMatrix); + device.queue.writeBuffer(sceneUniformBuffer, 128, lightPosition); + device.queue.writeBuffer(modelUniformBuffer, 0, modelMatrix); } // Rotates the camera around the origin based on time. function getCameraViewProjMatrix() { - const eyePosition = vec3Impl.fromValues(0, 50, -100); + const eyePosition = vec3.fromValues(0, 50, -100); const rad = Math.PI * (Date.now() / 2000); - const rotation = mat4Impl.rotateY(mat4Impl.translation(origin), rad); - vec3Impl.transformMat4(eyePosition, rotation, eyePosition); - const viewMatrix = mat4Impl.lookAt(eyePosition, origin, upVector); - mat4Impl.multiply(projectionMatrix, viewMatrix, viewProjMatrix); + const rotation = mat4.rotateY(mat4.translation(origin), rad); + vec3.transformMat4(eyePosition, rotation, eyePosition); + const viewMatrix = mat4.lookAt(eyePosition, origin, upVector); + mat4.multiply(projectionMatrix, viewMatrix, viewProjMatrix); return viewProjMatrix; } const shadowPassDescriptor = { diff --git a/sample/shadowMapping/main.js.map b/sample/shadowMapping/main.js.map index 75deeefc..7dd77916 100644 --- a/sample/shadowMapping/main.js.map +++ b/sample/shadowMapping/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../meshes/stanfordDragonData.ts","../../../../../meshes/utils.ts","../../../../../meshes/stanfordDragon.ts","../../../../../sample/shadowMapping/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","// from github.com/hughsk/stanford-dragon\nexport default {\n cells: 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{ vec3, Vec3 } from 'wgpu-matrix';\n\nexport function computeSurfaceNormals(\n positions: [number, number, number][],\n triangles: [number, number, number][]\n): [number, number, number][] {\n const normals: [number, number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0, 0];\n });\n triangles.forEach(([i0, i1, i2]) => {\n const p0 = positions[i0];\n const p1 = positions[i1];\n const p2 = positions[i2];\n\n const v0 = vec3.subtract(p1, p0);\n const v1 = vec3.subtract(p2, p0);\n\n vec3.normalize(v0, v0);\n vec3.normalize(v1, v1);\n const norm = vec3.cross(v0, v1);\n\n // Accumulate the normals.\n vec3.add(normals[i0], norm, normals[i0]);\n vec3.add(normals[i1], norm, normals[i1]);\n vec3.add(normals[i2], norm, normals[i2]);\n });\n normals.forEach((n) => {\n // Normalize accumulated normals.\n vec3.normalize(n, n);\n });\n\n return normals;\n}\n\nfunction makeTriangleIndicesFn(triangles: [number, number, number][]) {\n let triNdx = 0;\n let vNdx = 0;\n const fn = function () {\n const ndx = triangles[triNdx][vNdx++];\n if (vNdx === 3) {\n vNdx = 0;\n ++triNdx;\n }\n return ndx;\n };\n fn.reset = function () {\n triNdx = 0;\n vNdx = 0;\n };\n fn.numElements = triangles.length * 3;\n return fn;\n}\n\n// adapted from: https://webglfundamentals.org/webgl/lessons/webgl-3d-geometry-lathe.htmls\nexport function generateNormals(\n maxAngle: number,\n positions: [number, number, number][],\n triangles: [number, number, number][]\n) {\n // first compute the normal of each face\n const getNextIndex = makeTriangleIndicesFn(triangles);\n const numFaceVerts = getNextIndex.numElements;\n const numVerts = positions.length;\n const numFaces = numFaceVerts / 3;\n const faceNormals: Vec3[] = [];\n\n // Compute the normal for every face.\n // While doing that, create a new vertex for every face vertex\n for (let i = 0; i < numFaces; ++i) {\n const n1 = getNextIndex();\n const n2 = getNextIndex();\n const n3 = getNextIndex();\n\n const v1 = positions[n1];\n const v2 = positions[n2];\n const v3 = positions[n3];\n\n faceNormals.push(\n vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))\n );\n }\n\n let tempVerts = {};\n let tempVertNdx = 0;\n\n // this assumes vertex positions are an exact match\n\n function getVertIndex(vert: [number, number, number]): number {\n const vertId = JSON.stringify(vert);\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n return newNdx;\n }\n\n // We need to figure out the shared vertices.\n // It's not as simple as looking at the faces (triangles)\n // because for example if we have a standard cylinder\n //\n //\n // 3-4\n // / \\\n // 2 5 Looking down a cylinder starting at S\n // | | and going around to E, E and S are not\n // 1 6 the same vertex in the data we have\n // \\ / as they don't share UV coords.\n // S/E\n //\n // the vertices at the start and end do not share vertices\n // since they have different UVs but if you don't consider\n // them to share vertices they will get the wrong normals\n\n const vertIndices: number[] = [];\n for (let i = 0; i < numVerts; ++i) {\n const vert = positions[i];\n vertIndices.push(getVertIndex(vert));\n }\n\n // go through every vertex and record which faces it's on\n const vertFaces: number[][] = [];\n getNextIndex.reset();\n for (let i = 0; i < numFaces; ++i) {\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n let faces = vertFaces[sharedNdx];\n if (!faces) {\n faces = [];\n vertFaces[sharedNdx] = faces;\n }\n faces.push(i);\n }\n }\n\n // now go through every face and compute the normals for each\n // vertex of the face. Only include faces that aren't more than\n // maxAngle different. Add the result to arrays of newPositions,\n // newTexcoords and newNormals, discarding any vertices that\n // are the same.\n tempVerts = {};\n tempVertNdx = 0;\n const newPositions: [number, number, number][] = [];\n const newNormals: [number, number, number][] = [];\n\n function getNewVertIndex(\n position: [number, number, number],\n normal: [number, number, number]\n ) {\n const vertId = JSON.stringify({ position, normal });\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n newPositions.push(position);\n newNormals.push(normal);\n return newNdx;\n }\n\n const newTriangles: [number, number, number][] = [];\n getNextIndex.reset();\n const maxAngleCos = Math.cos(maxAngle);\n // for each face\n for (let i = 0; i < numFaces; ++i) {\n // get the normal for this face\n const thisFaceNormal = faceNormals[i];\n // for each vertex on the face\n const newTriangle: number[] = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n const faces = vertFaces[sharedNdx];\n const norm = [0, 0, 0] as [number, number, number];\n faces.forEach((faceNdx: number) => {\n // is this face facing the same way\n const otherFaceNormal = faceNormals[faceNdx];\n const dot = vec3.dot(thisFaceNormal, otherFaceNormal);\n if (dot > maxAngleCos) {\n vec3.add(norm, otherFaceNormal, norm);\n }\n });\n vec3.normalize(norm, norm);\n newTriangle.push(getNewVertIndex(positions[ndx], norm));\n }\n newTriangles.push(newTriangle as [number, number, number]);\n }\n\n return {\n positions: newPositions,\n normals: newNormals,\n triangles: newTriangles,\n };\n}\n\ntype ProjectedPlane = 'xy' | 'xz' | 'yz';\n\nconst projectedPlane2Ids: { [key in ProjectedPlane]: [number, number] } = {\n xy: [0, 1],\n xz: [0, 2],\n yz: [1, 2],\n};\n\nexport function computeProjectedPlaneUVs(\n positions: [number, number, number][],\n projectedPlane: ProjectedPlane = 'xy'\n): [number, number][] {\n const idxs = projectedPlane2Ids[projectedPlane];\n const uvs: [number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0];\n });\n const extentMin = [Infinity, Infinity];\n const extentMax = [-Infinity, -Infinity];\n positions.forEach((pos, i) => {\n // Simply project to the selected plane\n uvs[i][0] = pos[idxs[0]];\n uvs[i][1] = pos[idxs[1]];\n\n extentMin[0] = Math.min(pos[idxs[0]], extentMin[0]);\n extentMin[1] = Math.min(pos[idxs[1]], extentMin[1]);\n extentMax[0] = Math.max(pos[idxs[0]], extentMax[0]);\n extentMax[1] = Math.max(pos[idxs[1]], extentMax[1]);\n });\n uvs.forEach((uv) => {\n uv[0] = (uv[0] - extentMin[0]) / (extentMax[0] - extentMin[0]);\n uv[1] = (uv[1] - extentMin[1]) / (extentMax[1] - extentMin[1]);\n });\n return uvs;\n}\n","import dragonRawData from './stanfordDragonData';\nimport { computeProjectedPlaneUVs, generateNormals } from './utils';\n\nconst { positions, normals, triangles } = generateNormals(\n Math.PI,\n dragonRawData.positions as [number, number, number][],\n dragonRawData.cells as [number, number, number][]\n);\n\nconst uvs = computeProjectedPlaneUVs(positions, 'xy');\n\n// Push indices for an additional ground plane\ntriangles.push(\n [positions.length, positions.length + 2, positions.length + 1],\n [positions.length, positions.length + 1, positions.length + 3]\n);\n\n// Push vertex attributes for an additional ground plane\n// prettier-ignore\npositions.push(\n [-100, 20, -100], //\n [ 100, 20, 100], //\n [-100, 20, 100], //\n [ 100, 20, -100]\n);\nnormals.push(\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0]\n);\nuvs.push(\n [0, 0], //\n [1, 1], //\n [0, 1], //\n [1, 0]\n);\n\nexport const mesh = {\n positions,\n triangles,\n normals,\n uvs,\n};\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { mesh } from '../../meshes/stanfordDragon';\n\nimport vertexShadowWGSL from './vertexShadow.wgsl';\nimport vertexWGSL from './vertex.wgsl';\nimport fragmentWGSL from './fragment.wgsl';\n\nconst shadowDepthTextureSize = 1024;\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst aspect = canvas.width / canvas.height;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create the model vertex buffer.\nconst vertexBuffer = device.createBuffer({\n size: mesh.positions.length * 3 * 2 * Float32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\n{\n const mapping = new Float32Array(vertexBuffer.getMappedRange());\n for (let i = 0; i < mesh.positions.length; ++i) {\n mapping.set(mesh.positions[i], 6 * i);\n mapping.set(mesh.normals[i], 6 * i + 3);\n }\n vertexBuffer.unmap();\n}\n\n// Create the model index buffer.\nconst indexCount = mesh.triangles.length * 3;\nconst indexBuffer = device.createBuffer({\n size: indexCount * Uint16Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n});\n{\n const mapping = new Uint16Array(indexBuffer.getMappedRange());\n for (let i = 0; i < mesh.triangles.length; ++i) {\n mapping.set(mesh.triangles[i], 3 * i);\n }\n indexBuffer.unmap();\n}\n\n// Create the depth texture for rendering/sampling the shadow map.\nconst shadowDepthTexture = device.createTexture({\n size: [shadowDepthTextureSize, shadowDepthTextureSize, 1],\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n format: 'depth32float',\n});\nconst shadowDepthTextureView = shadowDepthTexture.createView();\n\n// Create some common descriptors used for both the shadow pipeline\n// and the color rendering pipeline.\nconst vertexBuffers: Iterable = [\n {\n arrayStride: Float32Array.BYTES_PER_ELEMENT * 6,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: 0,\n format: 'float32x3',\n },\n {\n // normal\n shaderLocation: 1,\n offset: Float32Array.BYTES_PER_ELEMENT * 3,\n format: 'float32x3',\n },\n ],\n },\n];\n\nconst primitive: GPUPrimitiveState = {\n topology: 'triangle-list',\n cullMode: 'back',\n};\n\nconst uniformBufferBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX,\n buffer: {\n type: 'uniform',\n },\n },\n ],\n});\n\nconst shadowPipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [\n uniformBufferBindGroupLayout,\n uniformBufferBindGroupLayout,\n ],\n }),\n vertex: {\n module: device.createShaderModule({\n code: vertexShadowWGSL,\n }),\n buffers: vertexBuffers,\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth32float',\n },\n primitive,\n});\n\n// Create a bind group layout which holds the scene uniforms and\n// the texture+sampler for depth. We create it manually because the WebPU\n// implementation doesn't infer this from the shader (yet).\nconst bglForRender = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'depth',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n sampler: {\n type: 'comparison',\n },\n },\n ],\n});\n\nconst pipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [bglForRender, uniformBufferBindGroupLayout],\n }),\n vertex: {\n module: device.createShaderModule({\n code: vertexWGSL,\n }),\n buffers: vertexBuffers,\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n constants: {\n shadowDepthTextureSize,\n },\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus-stencil8',\n },\n primitive,\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus-stencil8',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n stencilClearValue: 0,\n stencilLoadOp: 'clear',\n stencilStoreOp: 'store',\n },\n};\n\nconst modelUniformBuffer = device.createBuffer({\n size: 4 * 16, // 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst sceneUniformBuffer = device.createBuffer({\n // Two 4x4 viewProj matrices,\n // one for the camera and one for the light.\n // Then a vec3 for the light position.\n // Rounded to the nearest multiple of 16.\n size: 2 * 4 * 16 + 4 * 4,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst sceneBindGroupForShadow = device.createBindGroup({\n layout: uniformBufferBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: sceneUniformBuffer,\n },\n },\n ],\n});\n\nconst sceneBindGroupForRender = device.createBindGroup({\n layout: bglForRender,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: sceneUniformBuffer,\n },\n },\n {\n binding: 1,\n resource: shadowDepthTextureView,\n },\n {\n binding: 2,\n resource: device.createSampler({\n compare: 'less',\n }),\n },\n ],\n});\n\nconst modelBindGroup = device.createBindGroup({\n layout: uniformBufferBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: modelUniformBuffer,\n },\n },\n ],\n});\n\nconst eyePosition = vec3.fromValues(0, 50, -100);\nconst upVector = vec3.fromValues(0, 1, 0);\nconst origin = vec3.fromValues(0, 0, 0);\n\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0);\n\nconst viewMatrix = mat4.lookAt(eyePosition, origin, upVector);\n\nconst lightPosition = vec3.fromValues(50, 100, -100);\nconst lightViewMatrix = mat4.lookAt(lightPosition, origin, upVector);\nconst lightProjectionMatrix = mat4.create();\n{\n const left = -80;\n const right = 80;\n const bottom = -80;\n const top = 80;\n const near = -200;\n const far = 300;\n mat4.ortho(left, right, bottom, top, near, far, lightProjectionMatrix);\n}\n\nconst lightViewProjMatrix = mat4.multiply(\n lightProjectionMatrix,\n lightViewMatrix\n);\n\nconst viewProjMatrix = mat4.multiply(projectionMatrix, viewMatrix);\n\n// Move the model so it's centered.\nconst modelMatrix = mat4.translation([0, -45, 0]);\n\n// The camera/light aren't moving, so write them into buffers now.\n{\n const lightMatrixData = lightViewProjMatrix as Float32Array;\n device.queue.writeBuffer(\n sceneUniformBuffer,\n 0,\n lightMatrixData.buffer,\n lightMatrixData.byteOffset,\n lightMatrixData.byteLength\n );\n\n const cameraMatrixData = viewProjMatrix as Float32Array;\n device.queue.writeBuffer(\n sceneUniformBuffer,\n 64,\n cameraMatrixData.buffer,\n cameraMatrixData.byteOffset,\n cameraMatrixData.byteLength\n );\n\n const lightData = lightPosition as Float32Array;\n device.queue.writeBuffer(\n sceneUniformBuffer,\n 128,\n lightData.buffer,\n lightData.byteOffset,\n lightData.byteLength\n );\n\n const modelData = modelMatrix as Float32Array;\n device.queue.writeBuffer(\n modelUniformBuffer,\n 0,\n modelData.buffer,\n modelData.byteOffset,\n modelData.byteLength\n );\n}\n\n// Rotates the camera around the origin based on time.\nfunction getCameraViewProjMatrix() {\n const eyePosition = vec3.fromValues(0, 50, -100);\n\n const rad = Math.PI * (Date.now() / 2000);\n const rotation = mat4.rotateY(mat4.translation(origin), rad);\n vec3.transformMat4(eyePosition, rotation, eyePosition);\n\n const viewMatrix = mat4.lookAt(eyePosition, origin, upVector);\n\n mat4.multiply(projectionMatrix, viewMatrix, viewProjMatrix);\n return viewProjMatrix as Float32Array;\n}\n\nconst shadowPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [],\n depthStencilAttachment: {\n view: shadowDepthTextureView,\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nfunction frame() {\n const cameraViewProj = getCameraViewProjMatrix();\n device.queue.writeBuffer(\n sceneUniformBuffer,\n 64,\n cameraViewProj.buffer,\n cameraViewProj.byteOffset,\n cameraViewProj.byteLength\n );\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n {\n const shadowPass = commandEncoder.beginRenderPass(shadowPassDescriptor);\n shadowPass.setPipeline(shadowPipeline);\n shadowPass.setBindGroup(0, sceneBindGroupForShadow);\n shadowPass.setBindGroup(1, modelBindGroup);\n shadowPass.setVertexBuffer(0, vertexBuffer);\n shadowPass.setIndexBuffer(indexBuffer, 'uint16');\n shadowPass.drawIndexed(indexCount);\n\n shadowPass.end();\n }\n {\n const renderPass = commandEncoder.beginRenderPass(renderPassDescriptor);\n renderPass.setPipeline(pipeline);\n renderPass.setBindGroup(0, sceneBindGroupForRender);\n renderPass.setBindGroup(1, modelBindGroup);\n renderPass.setVertexBuffer(0, vertexBuffer);\n renderPass.setIndexBuffer(indexBuffer, 'uint16');\n renderPass.drawIndexed(indexCount);\n\n renderPass.end();\n }\n device.queue.submit([commandEncoder.finish()]);\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../meshes/stanfordDragonData.ts","../../../../../meshes/utils.ts","../../../../../meshes/stanfordDragon.ts","../../../../../sample/shadowMapping/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","// from github.com/hughsk/stanford-dragon\nexport default {\n cells: [[5,0,2],[0,1,2],[0,3,1],[10,2,9],[10,11,2],[11,8,2],[4,0,5],[1,3,6],[4,5,2],[8,7,2],[13,12,8],[11,13,8],[10,13,11],[3,0,4],[2,7,4],[10,9,13],[12,7,8],[6,7,1],[1,7,2],[7,9,2],[4,7,14],[12,14,7],[9,7,6],[4,6,3],[18,17,16],[15,9,6],[20,21,18],[18,21,22],[16,15,18],[15,20,18],[19,15,16],[15,19,9],[23,17,18],[25,21,20],[6,4,24],[12,26,14],[15,29,30],[33,16,17],[26,14,12],[26,12,14],[27,6,24],[28,12,13],[15,27,29],[6,27,15],[15,30,20],[9,28,13],[9,31,28],[32,21,25],[22,21,32],[33,9,19],[16,33,19],[34,35,23],[18,34,23],[36,17,23],[36,23,35],[26,12,28],[25,20,30],[31,9,33],[32,18,22],[18,32,34],[17,36,33],[24,14,26],[24,4,14],[37,28,31],[38,39,40],[43,26,28],[43,28,37],[40,39,45],[41,46,42],[27,24,29],[30,32,25],[33,37,31],[36,44,33],[32,30,34],[36,35,52],[52,35,51],[85,49,48],[45,39,53],[24,26,55],[43,55,26],[30,29,58],[30,60,34],[37,59,43],[59,57,43],[32,60,34],[32,34,60],[60,32,34],[61,37,33],[60,35,34],[61,33,44],[52,51,62],[64,63,48],[65,63,48],[63,64,48],[65,48,49],[69,68,38],[38,68,39],[39,50,53],[45,70,40],[45,71,70],[74,73,41],[42,74,41],[47,74,41],[74,42,46],[74,46,41],[77,76,79],[79,76,78],[78,82,81],[79,78,81],[80,79,81],[24,55,54],[43,57,55],[60,30,58],[60,34,32],[33,98,37],[44,36,61],[36,52,83],[84,48,63],[85,48,84],[63,65,64],[86,50,66],[50,86,67],[50,39,87],[53,50,88],[53,88,89],[71,45,53],[89,90,53],[53,90,72],[47,73,72],[47,41,73],[74,47,75],[78,76,91],[91,92,78],[82,92,93],[78,92,82],[77,79,80],[81,82,95],[95,82,93],[94,96,97],[94,80,96],[81,95,104],[56,29,24],[33,37,98],[109,110,51],[85,84,99],[100,49,99],[99,49,85],[66,101,86],[87,66,50],[67,88,50],[69,40,70],[38,40,69],[88,102,89],[93,82,95],[82,93,95],[104,95,93],[97,96,105],[81,105,80],[96,80,105],[97,105,106],[105,81,104],[94,97,106],[56,58,29],[98,37,61],[35,108,109],[109,51,35],[62,51,110],[64,65,63],[65,49,100],[67,86,101],[68,87,39],[89,102,90],[90,47,72],[47,111,75],[91,76,115],[103,92,91],[92,103,93],[112,77,80],[112,80,94],[104,93,113],[60,58,120],[98,59,37],[122,36,83],[47,90,111],[116,94,106],[107,106,105],[107,105,118],[107,119,106],[60,108,35],[121,98,61],[36,122,61],[62,83,52],[65,100,63],[73,71,72],[72,71,53],[123,93,103],[56,24,54],[125,117,124],[107,126,119],[107,127,126],[109,128,110],[130,101,66],[102,67,132],[102,88,67],[102,114,133],[102,133,90],[135,125,124],[56,54,55],[123,137,93],[124,117,136],[116,106,119],[59,98,121],[118,127,107],[128,109,138],[122,83,61],[99,84,129],[99,129,130],[131,101,130],[101,131,132],[115,76,139],[139,76,77],[123,140,134],[123,103,140],[136,141,124],[134,142,137],[123,134,137],[137,113,93],[117,143,144],[117,125,143],[66,99,130],[132,131,146],[67,101,132],[146,114,132],[69,71,68],[70,71,69],[114,102,132],[159,56,55],[118,105,147],[145,59,121],[214,115,186],[482,186,611],[186,115,139],[134,149,150],[158,94,116],[55,57,160],[142,134,150],[104,147,105],[164,144,143],[148,127,147],[127,118,147],[61,83,151],[177,66,87],[112,154,77],[140,157,134],[160,159,55],[136,161,141],[136,141,161],[194,117,144],[59,166,165],[147,168,148],[138,172,128],[171,61,151],[110,173,62],[129,84,236],[176,63,100],[100,99,176],[209,180,152],[133,111,90],[183,182,181],[186,139,153],[153,139,77],[155,157,103],[157,140,103],[154,112,156],[134,157,149],[135,190,188],[188,190,189],[136,191,141],[162,160,57],[193,58,56],[193,197,58],[162,57,59],[117,194,136],[142,224,195],[196,113,137],[104,113,196],[104,196,147],[119,220,116],[120,58,197],[125,163,143],[163,164,143],[120,167,60],[200,227,145],[200,229,227],[169,145,121],[168,127,148],[151,83,201],[110,232,173],[62,201,83],[205,131,204],[99,66,87],[114,178,179],[133,209,152],[208,209,133],[133,152,111],[209,208,180],[213,183,184],[185,213,184],[214,155,91],[77,154,153],[77,156,154],[154,156,77],[215,149,157],[156,94,187],[156,112,94],[216,124,191],[191,124,141],[135,188,125],[125,188,192],[161,191,136],[219,116,220],[158,116,219],[159,160,56],[136,221,161],[162,57,222],[222,57,162],[166,222,162],[136,194,223],[136,223,221],[166,162,59],[137,142,195],[137,195,196],[164,194,144],[59,165,166],[225,168,147],[226,119,126],[167,199,60],[59,145,227],[60,199,108],[145,227,200],[145,200,227],[145,200,227],[145,227,200],[230,198,126],[228,170,138],[228,138,109],[145,229,200],[126,127,231],[231,127,168],[138,170,172],[171,121,61],[110,128,232],[234,129,233],[235,129,234],[175,233,129],[129,233,175],[84,174,236],[174,84,63],[130,129,175],[130,175,202],[100,174,63],[202,235,203],[130,202,203],[176,100,63],[131,203,204],[131,130,203],[87,176,99],[87,66,177],[178,131,205],[177,87,68],[178,114,146],[247,68,71],[114,179,206],[206,239,114],[239,133,114],[71,73,207],[133,240,208],[241,207,73],[208,240,180],[241,74,75],[241,73,74],[210,111,152],[211,111,210],[211,242,111],[242,75,111],[243,212,181],[181,243,182],[243,181,182],[181,212,183],[183,185,184],[155,103,91],[135,124,216],[187,94,158],[218,150,244],[246,150,218],[142,150,246],[224,142,246],[163,125,192],[59,227,166],[226,126,198],[108,199,109],[227,229,200],[229,145,169],[121,171,169],[175,233,129],[175,129,236],[235,202,175],[205,237,17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{ vec3, Vec3 } from 'wgpu-matrix';\n\nexport function computeSurfaceNormals(\n positions: [number, number, number][],\n triangles: [number, number, number][]\n): [number, number, number][] {\n const normals: [number, number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0, 0];\n });\n triangles.forEach(([i0, i1, i2]) => {\n const p0 = positions[i0];\n const p1 = positions[i1];\n const p2 = positions[i2];\n\n const v0 = vec3.subtract(p1, p0);\n const v1 = vec3.subtract(p2, p0);\n\n vec3.normalize(v0, v0);\n vec3.normalize(v1, v1);\n const norm = vec3.cross(v0, v1);\n\n // Accumulate the normals.\n vec3.add(normals[i0], norm, normals[i0]);\n vec3.add(normals[i1], norm, normals[i1]);\n vec3.add(normals[i2], norm, normals[i2]);\n });\n normals.forEach((n) => {\n // Normalize accumulated normals.\n vec3.normalize(n, n);\n });\n\n return normals;\n}\n\nfunction makeTriangleIndicesFn(triangles: [number, number, number][]) {\n let triNdx = 0;\n let vNdx = 0;\n const fn = function () {\n const ndx = triangles[triNdx][vNdx++];\n if (vNdx === 3) {\n vNdx = 0;\n ++triNdx;\n }\n return ndx;\n };\n fn.reset = function () {\n triNdx = 0;\n vNdx = 0;\n };\n fn.numElements = triangles.length * 3;\n return fn;\n}\n\n// adapted from: https://webglfundamentals.org/webgl/lessons/webgl-3d-geometry-lathe.htmls\nexport function generateNormals(\n maxAngle: number,\n positions: [number, number, number][],\n triangles: [number, number, number][]\n) {\n // first compute the normal of each face\n const getNextIndex = makeTriangleIndicesFn(triangles);\n const numFaceVerts = getNextIndex.numElements;\n const numVerts = positions.length;\n const numFaces = numFaceVerts / 3;\n const faceNormals: Vec3[] = [];\n\n // Compute the normal for every face.\n // While doing that, create a new vertex for every face vertex\n for (let i = 0; i < numFaces; ++i) {\n const n1 = getNextIndex();\n const n2 = getNextIndex();\n const n3 = getNextIndex();\n\n const v1 = positions[n1];\n const v2 = positions[n2];\n const v3 = positions[n3];\n\n faceNormals.push(\n vec3.normalize(vec3.cross(vec3.subtract(v2, v1), vec3.subtract(v3, v1)))\n );\n }\n\n let tempVerts = {};\n let tempVertNdx = 0;\n\n // this assumes vertex positions are an exact match\n\n function getVertIndex(vert: [number, number, number]): number {\n const vertId = JSON.stringify(vert);\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n return newNdx;\n }\n\n // We need to figure out the shared vertices.\n // It's not as simple as looking at the faces (triangles)\n // because for example if we have a standard cylinder\n //\n //\n // 3-4\n // / \\\n // 2 5 Looking down a cylinder starting at S\n // | | and going around to E, E and S are not\n // 1 6 the same vertex in the data we have\n // \\ / as they don't share UV coords.\n // S/E\n //\n // the vertices at the start and end do not share vertices\n // since they have different UVs but if you don't consider\n // them to share vertices they will get the wrong normals\n\n const vertIndices: number[] = [];\n for (let i = 0; i < numVerts; ++i) {\n const vert = positions[i];\n vertIndices.push(getVertIndex(vert));\n }\n\n // go through every vertex and record which faces it's on\n const vertFaces: number[][] = [];\n getNextIndex.reset();\n for (let i = 0; i < numFaces; ++i) {\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n let faces = vertFaces[sharedNdx];\n if (!faces) {\n faces = [];\n vertFaces[sharedNdx] = faces;\n }\n faces.push(i);\n }\n }\n\n // now go through every face and compute the normals for each\n // vertex of the face. Only include faces that aren't more than\n // maxAngle different. Add the result to arrays of newPositions,\n // newTexcoords and newNormals, discarding any vertices that\n // are the same.\n tempVerts = {};\n tempVertNdx = 0;\n const newPositions: [number, number, number][] = [];\n const newNormals: [number, number, number][] = [];\n\n function getNewVertIndex(\n position: [number, number, number],\n normal: [number, number, number]\n ) {\n const vertId = JSON.stringify({ position, normal });\n const ndx = tempVerts[vertId];\n if (ndx !== undefined) {\n return ndx;\n }\n const newNdx = tempVertNdx++;\n tempVerts[vertId] = newNdx;\n newPositions.push(position);\n newNormals.push(normal);\n return newNdx;\n }\n\n const newTriangles: [number, number, number][] = [];\n getNextIndex.reset();\n const maxAngleCos = Math.cos(maxAngle);\n // for each face\n for (let i = 0; i < numFaces; ++i) {\n // get the normal for this face\n const thisFaceNormal = faceNormals[i];\n // for each vertex on the face\n const newTriangle: number[] = [];\n for (let j = 0; j < 3; ++j) {\n const ndx = getNextIndex();\n const sharedNdx = vertIndices[ndx];\n const faces = vertFaces[sharedNdx];\n const norm = [0, 0, 0] as [number, number, number];\n faces.forEach((faceNdx: number) => {\n // is this face facing the same way\n const otherFaceNormal = faceNormals[faceNdx];\n const dot = vec3.dot(thisFaceNormal, otherFaceNormal);\n if (dot > maxAngleCos) {\n vec3.add(norm, otherFaceNormal, norm);\n }\n });\n vec3.normalize(norm, norm);\n newTriangle.push(getNewVertIndex(positions[ndx], norm));\n }\n newTriangles.push(newTriangle as [number, number, number]);\n }\n\n return {\n positions: newPositions,\n normals: newNormals,\n triangles: newTriangles,\n };\n}\n\ntype ProjectedPlane = 'xy' | 'xz' | 'yz';\n\nconst projectedPlane2Ids: { [key in ProjectedPlane]: [number, number] } = {\n xy: [0, 1],\n xz: [0, 2],\n yz: [1, 2],\n};\n\nexport function computeProjectedPlaneUVs(\n positions: [number, number, number][],\n projectedPlane: ProjectedPlane = 'xy'\n): [number, number][] {\n const idxs = projectedPlane2Ids[projectedPlane];\n const uvs: [number, number][] = positions.map(() => {\n // Initialize to zero.\n return [0, 0];\n });\n const extentMin = [Infinity, Infinity];\n const extentMax = [-Infinity, -Infinity];\n positions.forEach((pos, i) => {\n // Simply project to the selected plane\n uvs[i][0] = pos[idxs[0]];\n uvs[i][1] = pos[idxs[1]];\n\n extentMin[0] = Math.min(pos[idxs[0]], extentMin[0]);\n extentMin[1] = Math.min(pos[idxs[1]], extentMin[1]);\n extentMax[0] = Math.max(pos[idxs[0]], extentMax[0]);\n extentMax[1] = Math.max(pos[idxs[1]], extentMax[1]);\n });\n uvs.forEach((uv) => {\n uv[0] = (uv[0] - extentMin[0]) / (extentMax[0] - extentMin[0]);\n uv[1] = (uv[1] - extentMin[1]) / (extentMax[1] - extentMin[1]);\n });\n return uvs;\n}\n","import dragonRawData from './stanfordDragonData';\nimport { computeProjectedPlaneUVs, generateNormals } from './utils';\n\nconst { positions, normals, triangles } = generateNormals(\n Math.PI,\n dragonRawData.positions as [number, number, number][],\n dragonRawData.cells as [number, number, number][]\n);\n\nconst uvs = computeProjectedPlaneUVs(positions, 'xy');\n\n// Push indices for an additional ground plane\ntriangles.push(\n [positions.length, positions.length + 2, positions.length + 1],\n [positions.length, positions.length + 1, positions.length + 3]\n);\n\n// Push vertex attributes for an additional ground plane\n// prettier-ignore\npositions.push(\n [-100, 20, -100], //\n [ 100, 20, 100], //\n [-100, 20, 100], //\n [ 100, 20, -100]\n);\nnormals.push(\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0], //\n [0, 1, 0]\n);\nuvs.push(\n [0, 0], //\n [1, 1], //\n [0, 1], //\n [1, 0]\n);\n\nexport const mesh = {\n positions,\n triangles,\n normals,\n uvs,\n};\n","import { mat4, vec3 } from 'wgpu-matrix';\nimport { mesh } from '../../meshes/stanfordDragon';\n\nimport vertexShadowWGSL from './vertexShadow.wgsl';\nimport vertexWGSL from './vertex.wgsl';\nimport fragmentWGSL from './fragment.wgsl';\n\nconst shadowDepthTextureSize = 1024;\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst aspect = canvas.width / canvas.height;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create the model vertex buffer.\nconst vertexBuffer = device.createBuffer({\n size: mesh.positions.length * 3 * 2 * Float32Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\n{\n const mapping = new Float32Array(vertexBuffer.getMappedRange());\n for (let i = 0; i < mesh.positions.length; ++i) {\n mapping.set(mesh.positions[i], 6 * i);\n mapping.set(mesh.normals[i], 6 * i + 3);\n }\n vertexBuffer.unmap();\n}\n\n// Create the model index buffer.\nconst indexCount = mesh.triangles.length * 3;\nconst indexBuffer = device.createBuffer({\n size: indexCount * Uint16Array.BYTES_PER_ELEMENT,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n});\n{\n const mapping = new Uint16Array(indexBuffer.getMappedRange());\n for (let i = 0; i < mesh.triangles.length; ++i) {\n mapping.set(mesh.triangles[i], 3 * i);\n }\n indexBuffer.unmap();\n}\n\n// Create the depth texture for rendering/sampling the shadow map.\nconst shadowDepthTexture = device.createTexture({\n size: [shadowDepthTextureSize, shadowDepthTextureSize, 1],\n usage: GPUTextureUsage.RENDER_ATTACHMENT | GPUTextureUsage.TEXTURE_BINDING,\n format: 'depth32float',\n});\nconst shadowDepthTextureView = shadowDepthTexture.createView();\n\n// Create some common descriptors used for both the shadow pipeline\n// and the color rendering pipeline.\nconst vertexBuffers: Iterable = [\n {\n arrayStride: Float32Array.BYTES_PER_ELEMENT * 6,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: 0,\n format: 'float32x3',\n },\n {\n // normal\n shaderLocation: 1,\n offset: Float32Array.BYTES_PER_ELEMENT * 3,\n format: 'float32x3',\n },\n ],\n },\n];\n\nconst primitive: GPUPrimitiveState = {\n topology: 'triangle-list',\n cullMode: 'back',\n};\n\nconst uniformBufferBindGroupLayout = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX,\n buffer: {\n type: 'uniform',\n },\n },\n ],\n});\n\nconst shadowPipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [\n uniformBufferBindGroupLayout,\n uniformBufferBindGroupLayout,\n ],\n }),\n vertex: {\n module: device.createShaderModule({\n code: vertexShadowWGSL,\n }),\n buffers: vertexBuffers,\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth32float',\n },\n primitive,\n});\n\n// Create a bind group layout which holds the scene uniforms and\n// the texture+sampler for depth. We create it manually because the WebPU\n// implementation doesn't infer this from the shader (yet).\nconst bglForRender = device.createBindGroupLayout({\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n buffer: {\n type: 'uniform',\n },\n },\n {\n binding: 1,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n texture: {\n sampleType: 'depth',\n },\n },\n {\n binding: 2,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n sampler: {\n type: 'comparison',\n },\n },\n ],\n});\n\nconst pipeline = device.createRenderPipeline({\n layout: device.createPipelineLayout({\n bindGroupLayouts: [bglForRender, uniformBufferBindGroupLayout],\n }),\n vertex: {\n module: device.createShaderModule({\n code: vertexWGSL,\n }),\n buffers: vertexBuffers,\n },\n fragment: {\n module: device.createShaderModule({\n code: fragmentWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n constants: {\n shadowDepthTextureSize,\n },\n },\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus-stencil8',\n },\n primitive,\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus-stencil8',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n // view is acquired and set in render loop.\n view: undefined,\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n stencilClearValue: 0,\n stencilLoadOp: 'clear',\n stencilStoreOp: 'store',\n },\n};\n\nconst modelUniformBuffer = device.createBuffer({\n size: 4 * 16, // 4x4 matrix\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst sceneUniformBuffer = device.createBuffer({\n // Two 4x4 viewProj matrices,\n // one for the camera and one for the light.\n // Then a vec3 for the light position.\n // Rounded to the nearest multiple of 16.\n size: 2 * 4 * 16 + 4 * 4,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst sceneBindGroupForShadow = device.createBindGroup({\n layout: uniformBufferBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: sceneUniformBuffer,\n },\n },\n ],\n});\n\nconst sceneBindGroupForRender = device.createBindGroup({\n layout: bglForRender,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: sceneUniformBuffer,\n },\n },\n {\n binding: 1,\n resource: shadowDepthTextureView,\n },\n {\n binding: 2,\n resource: device.createSampler({\n compare: 'less',\n }),\n },\n ],\n});\n\nconst modelBindGroup = device.createBindGroup({\n layout: uniformBufferBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: modelUniformBuffer,\n },\n },\n ],\n});\n\nconst eyePosition = vec3.fromValues(0, 50, -100);\nconst upVector = vec3.fromValues(0, 1, 0);\nconst origin = vec3.fromValues(0, 0, 0);\n\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 2000.0);\n\nconst viewMatrix = mat4.lookAt(eyePosition, origin, upVector);\n\nconst lightPosition = vec3.fromValues(50, 100, -100);\nconst lightViewMatrix = mat4.lookAt(lightPosition, origin, upVector);\nconst lightProjectionMatrix = mat4.create();\n{\n const left = -80;\n const right = 80;\n const bottom = -80;\n const top = 80;\n const near = -200;\n const far = 300;\n mat4.ortho(left, right, bottom, top, near, far, lightProjectionMatrix);\n}\n\nconst lightViewProjMatrix = mat4.multiply(\n lightProjectionMatrix,\n lightViewMatrix\n);\n\nconst viewProjMatrix = mat4.multiply(projectionMatrix, viewMatrix);\n\n// Move the model so it's centered.\nconst modelMatrix = mat4.translation([0, -45, 0]);\n\n// The camera/light aren't moving, so write them into buffers now.\n{\n device.queue.writeBuffer(sceneUniformBuffer, 0, lightViewProjMatrix);\n device.queue.writeBuffer(sceneUniformBuffer, 64, lightViewProjMatrix);\n device.queue.writeBuffer(sceneUniformBuffer, 128, lightPosition);\n device.queue.writeBuffer(modelUniformBuffer, 0, modelMatrix);\n}\n\n// Rotates the camera around the origin based on time.\nfunction getCameraViewProjMatrix() {\n const eyePosition = vec3.fromValues(0, 50, -100);\n\n const rad = Math.PI * (Date.now() / 2000);\n const rotation = mat4.rotateY(mat4.translation(origin), rad);\n vec3.transformMat4(eyePosition, rotation, eyePosition);\n\n const viewMatrix = mat4.lookAt(eyePosition, origin, upVector);\n\n mat4.multiply(projectionMatrix, viewMatrix, viewProjMatrix);\n return viewProjMatrix;\n}\n\nconst shadowPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [],\n depthStencilAttachment: {\n view: shadowDepthTextureView,\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nfunction frame() {\n const cameraViewProj = getCameraViewProjMatrix();\n device.queue.writeBuffer(\n sceneUniformBuffer,\n 64,\n cameraViewProj.buffer,\n cameraViewProj.byteOffset,\n cameraViewProj.byteLength\n );\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n {\n const shadowPass = commandEncoder.beginRenderPass(shadowPassDescriptor);\n shadowPass.setPipeline(shadowPipeline);\n shadowPass.setBindGroup(0, sceneBindGroupForShadow);\n shadowPass.setBindGroup(1, modelBindGroup);\n shadowPass.setVertexBuffer(0, vertexBuffer);\n shadowPass.setIndexBuffer(indexBuffer, 'uint16');\n shadowPass.drawIndexed(indexCount);\n\n shadowPass.end();\n }\n {\n const renderPass = commandEncoder.beginRenderPass(renderPassDescriptor);\n renderPass.setPipeline(pipeline);\n renderPass.setBindGroup(0, sceneBindGroupForRender);\n renderPass.setBindGroup(1, modelBindGroup);\n renderPass.setVertexBuffer(0, vertexBuffer);\n renderPass.setIndexBuffer(indexBuffer, 'uint16');\n renderPass.drawIndexed(indexCount);\n\n renderPass.end();\n }\n device.queue.submit([commandEncoder.finish()]);\n 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\ No newline at end of file diff --git a/sample/shadowMapping/main.ts b/sample/shadowMapping/main.ts index bd40f902..fd94c6d2 100644 --- a/sample/shadowMapping/main.ts +++ b/sample/shadowMapping/main.ts @@ -304,41 +304,10 @@ const modelMatrix = mat4.translation([0, -45, 0]); // The camera/light aren't moving, so write them into buffers now. { - const lightMatrixData = lightViewProjMatrix as Float32Array; - device.queue.writeBuffer( - sceneUniformBuffer, - 0, - lightMatrixData.buffer, - lightMatrixData.byteOffset, - lightMatrixData.byteLength - ); - - const cameraMatrixData = viewProjMatrix as Float32Array; - device.queue.writeBuffer( - sceneUniformBuffer, - 64, - cameraMatrixData.buffer, - cameraMatrixData.byteOffset, - cameraMatrixData.byteLength - ); - - const lightData = lightPosition as Float32Array; - device.queue.writeBuffer( - sceneUniformBuffer, - 128, - lightData.buffer, - lightData.byteOffset, - lightData.byteLength - ); - - const modelData = modelMatrix as Float32Array; - device.queue.writeBuffer( - modelUniformBuffer, - 0, - modelData.buffer, - modelData.byteOffset, - modelData.byteLength - ); + device.queue.writeBuffer(sceneUniformBuffer, 0, lightViewProjMatrix); + device.queue.writeBuffer(sceneUniformBuffer, 64, lightViewProjMatrix); + device.queue.writeBuffer(sceneUniformBuffer, 128, lightPosition); + device.queue.writeBuffer(modelUniformBuffer, 0, modelMatrix); } // Rotates the camera around the origin based on time. @@ -352,7 +321,7 @@ function getCameraViewProjMatrix() { const viewMatrix = mat4.lookAt(eyePosition, origin, upVector); mat4.multiply(projectionMatrix, viewMatrix, viewProjMatrix); - return viewProjMatrix as Float32Array; + return viewProjMatrix; } const shadowPassDescriptor: GPURenderPassDescriptor = { diff --git a/sample/skinnedMesh/glbUtils.ts b/sample/skinnedMesh/glbUtils.ts index 63198a2b..88446465 100644 --- a/sample/skinnedMesh/glbUtils.ts +++ b/sample/skinnedMesh/glbUtils.ts @@ -1,6 +1,6 @@ -import { Quat } from 'wgpu-matrix'; +import { Quatn } from 'wgpu-matrix'; import { Accessor, BufferView, GlTf, Scene } from './gltf'; -import { Mat4, Vec3, mat4 } from 'wgpu-matrix'; +import { Mat4, Vec3n, mat4 } from 'wgpu-matrix'; //NOTE: GLTF code is not generally extensible to all gltf models // Modified from Will Usher code found at this link https://www.willusher.io/graphics/2023/05/16/0-to-gltf-first-mesh @@ -511,9 +511,9 @@ type TempReturn = { }; export class BaseTransformation { - position: Vec3; - rotation: Quat; - scale: Vec3; + position: Vec3n; + rotation: Quatn; + scale: Vec3n; constructor( // Identity translation vec3 position = [0, 0, 0], @@ -608,7 +608,7 @@ export class GLTFNode { } else { mat4.copy(this.localMatrix, this.worldMatrix); } - const worldMatrix = this.worldMatrix as Float32Array; + const worldMatrix = this.worldMatrix; device.queue.writeBuffer( this.nodeTransformGPUBuffer, 0, @@ -787,9 +787,9 @@ export class GLTFSkin { ); for (let j = 0; j < this.joints.length; j++) { const joint = this.joints[j]; - const dstMatrix: Mat4 = mat4.identity(); + const dstMatrix = mat4.identity(); mat4.multiply(globalWorldInverse, nodes[joint].worldMatrix, dstMatrix); - const toWrite = dstMatrix as Float32Array; + const toWrite = dstMatrix; device.queue.writeBuffer( this.jointMatricesUniformBuffer, j * 64, diff --git a/sample/skinnedMesh/main.js b/sample/skinnedMesh/main.js index 18219845..cd0fcfe8 100644 --- a/sample/skinnedMesh/main.js +++ b/sample/skinnedMesh/main.js @@ -2493,7 +2493,17 @@ function updateDisplays(controllerArray) { } var GUI$1 = GUI; -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -2539,67 +2549,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * + * Generates am typed API for Vec3 */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); } - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -2623,945 +3239,1699 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); } - return copy$3(a, dst); + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Return the vector exactly between 2 endpoint vectors - * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this - * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix - * - * or - * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always save to pass any matrix as the destination. So for example - * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. - * - */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; -} /** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in - * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. - */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } } } } @@ -3577,1449 +4947,3039 @@ function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v1 } } } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Creates a 4-by-4 identity matrix. + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} /** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * Quat4 math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this + * + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. + * + * or + * + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always safe to pass any vector as the destination. So for example + * + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); } - return dst; + return api; } -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} /** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } -let xAxis; -let yAxis; -let zAxis; +const cache = new Map(); /** - * Computes a 4-by-4 aim transformation. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Vec4 math functions. * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * or * - * Note: this is the inverse of `lookAt` + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * It is always safe to pass any vector as the destination. So for example + * + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); //NOTE: GLTF code is not generally extensible to all gltf models // Modified from Will Usher code found at this link https://www.willusher.io/graphics/2023/05/16/0-to-gltf-first-mesh @@ -5449,15 +8409,15 @@ class BaseTransformation { } getMatrix() { // Analagous to let transformationMatrix: mat4x4f = translation * rotation * scale; - const dst = mat4Impl.identity(); + const dst = mat4.identity(); // Scale the transformation Matrix - mat4Impl.scale(dst, this.scale, dst); + mat4.scale(dst, this.scale, dst); // Calculate the rotationMatrix from the quaternion - const rotationMatrix = mat4Impl.fromQuat(this.rotation); + const rotationMatrix = mat4.fromQuat(this.rotation); // Apply the rotation Matrix to the scaleMatrix (rotMat * scaleMat) - mat4Impl.multiply(rotationMatrix, dst, dst); + mat4.multiply(rotationMatrix, dst, dst); // Translate the transformationMatrix - mat4Impl.translate(dst, this.position, dst); + mat4.translate(dst, this.position, dst); return dst; } } @@ -5482,8 +8442,8 @@ class GLTFNode { this.source = source; this.parent = null; this.children = []; - this.localMatrix = mat4Impl.identity(); - this.worldMatrix = mat4Impl.identity(); + this.localMatrix = mat4.identity(); + this.worldMatrix = mat4.identity(); this.drawables = []; this.nodeTransformGPUBuffer = device.createBuffer({ size: Float32Array.BYTES_PER_ELEMENT * 16, @@ -5515,10 +8475,10 @@ class GLTFNode { // multiply it against the parent's transform matrix to get transformMatrix relative to world. this.localMatrix = this.source.getMatrix(); if (parentWorldMatrix) { - mat4Impl.multiply(parentWorldMatrix, this.localMatrix, this.worldMatrix); + mat4.multiply(parentWorldMatrix, this.localMatrix, this.worldMatrix); } else { - mat4Impl.copy(this.localMatrix, this.worldMatrix); + mat4.copy(this.localMatrix, this.worldMatrix); } const worldMatrix = this.worldMatrix; device.queue.writeBuffer(this.nodeTransformGPUBuffer, 0, worldMatrix.buffer, worldMatrix.byteOffset, worldMatrix.byteLength); @@ -5651,11 +8611,11 @@ class GLTFSkin { }); } update(device, currentNodeIndex, nodes) { - const globalWorldInverse = mat4Impl.inverse(nodes[currentNodeIndex].worldMatrix); + const globalWorldInverse = mat4.inverse(nodes[currentNodeIndex].worldMatrix); for (let j = 0; j < this.joints.length; j++) { const joint = this.joints[j]; - const dstMatrix = mat4Impl.identity(); - mat4Impl.multiply(globalWorldInverse, nodes[joint].worldMatrix, dstMatrix); + const dstMatrix = mat4.identity(); + mat4.multiply(globalWorldInverse, nodes[joint].worldMatrix, dstMatrix); const toWrite = dstMatrix; device.queue.writeBuffer(this.jointMatricesUniformBuffer, j * 64, toWrite.buffer, toWrite.byteOffset, toWrite.byteLength); } @@ -6240,65 +9200,68 @@ var SkinMode; SkinMode[SkinMode["ON"] = 0] = "ON"; SkinMode[SkinMode["OFF"] = 1] = "OFF"; })(SkinMode || (SkinMode = {})); +/* // Copied from toji/gl-matrix -const getRotation = (mat) => { - // Initialize our output quaternion - const out = [0, 0, 0, 0]; - // Extract the scaling factor from the final matrix transformation - // to normalize our rotation; - const scaling = mat4Impl.getScaling(mat); - const is1 = 1 / scaling[0]; - const is2 = 1 / scaling[1]; - const is3 = 1 / scaling[2]; - // Scale the matrix elements by the scaling factors - const sm11 = mat[0] * is1; - const sm12 = mat[1] * is2; - const sm13 = mat[2] * is3; - const sm21 = mat[4] * is1; - const sm22 = mat[5] * is2; - const sm23 = mat[6] * is3; - const sm31 = mat[8] * is1; - const sm32 = mat[9] * is2; - const sm33 = mat[10] * is3; - // The trace of a square matrix is the sum of its diagonal entries - // While the matrix trace has many interesting mathematical properties, - // the primary purpose of the trace is to assess the characteristics of the rotation. - const trace = sm11 + sm22 + sm33; - let S = 0; - // If all matrix elements contribute equally to the rotation. - if (trace > 0) { - S = Math.sqrt(trace + 1.0) * 2; - out[3] = 0.25 * S; - out[0] = (sm23 - sm32) / S; - out[1] = (sm31 - sm13) / S; - out[2] = (sm12 - sm21) / S; - // If the rotation is primarily around the x-axis - } - else if (sm11 > sm22 && sm11 > sm33) { - S = Math.sqrt(1.0 + sm11 - sm22 - sm33) * 2; - out[3] = (sm23 - sm32) / S; - out[0] = 0.25 * S; - out[1] = (sm12 + sm21) / S; - out[2] = (sm31 + sm13) / S; - // If rotation is primarily around the y-axis - } - else if (sm22 > sm33) { - S = Math.sqrt(1.0 + sm22 - sm11 - sm33) * 2; - out[3] = (sm31 - sm13) / S; - out[0] = (sm12 + sm21) / S; - out[1] = 0.25 * S; - out[2] = (sm23 + sm32) / S; - // If the rotation is primarily around the z-axis - } - else { - S = Math.sqrt(1.0 + sm33 - sm11 - sm22) * 2; - out[3] = (sm12 - sm21) / S; - out[0] = (sm31 + sm13) / S; - out[1] = (sm23 + sm32) / S; - out[2] = 0.25 * S; - } - return out; +const getRotation = (mat: Mat4): Quat => { + // Initialize our output quaternion + const out = [0, 0, 0, 0]; + // Extract the scaling factor from the final matrix transformation + // to normalize our rotation; + const scaling = mat4.getScaling(mat); + const is1 = 1 / scaling[0]; + const is2 = 1 / scaling[1]; + const is3 = 1 / scaling[2]; + + // Scale the matrix elements by the scaling factors + const sm11 = mat[0] * is1; + const sm12 = mat[1] * is2; + const sm13 = mat[2] * is3; + const sm21 = mat[4] * is1; + const sm22 = mat[5] * is2; + const sm23 = mat[6] * is3; + const sm31 = mat[8] * is1; + const sm32 = mat[9] * is2; + const sm33 = mat[10] * is3; + + // The trace of a square matrix is the sum of its diagonal entries + // While the matrix trace has many interesting mathematical properties, + // the primary purpose of the trace is to assess the characteristics of the rotation. + const trace = sm11 + sm22 + sm33; + let S = 0; + + // If all matrix elements contribute equally to the rotation. + if (trace > 0) { + S = Math.sqrt(trace + 1.0) * 2; + out[3] = 0.25 * S; + out[0] = (sm23 - sm32) / S; + out[1] = (sm31 - sm13) / S; + out[2] = (sm12 - sm21) / S; + // If the rotation is primarily around the x-axis + } else if (sm11 > sm22 && sm11 > sm33) { + S = Math.sqrt(1.0 + sm11 - sm22 - sm33) * 2; + out[3] = (sm23 - sm32) / S; + out[0] = 0.25 * S; + out[1] = (sm12 + sm21) / S; + out[2] = (sm31 + sm13) / S; + // If rotation is primarily around the y-axis + } else if (sm22 > sm33) { + S = Math.sqrt(1.0 + sm22 - sm11 - sm33) * 2; + out[3] = (sm31 - sm13) / S; + out[0] = (sm12 + sm21) / S; + out[1] = 0.25 * S; + out[2] = (sm23 + sm32) / S; + // If the rotation is primarily around the z-axis + } else { + S = Math.sqrt(1.0 + sm33 - sm11 - sm22) * 2; + out[3] = (sm12 - sm21) / S; + out[0] = (sm31 + sm13) / S; + out[1] = (sm23 + sm32) / S; + out[2] = 0.25 * S; + } + + return out; }; +*/ //Normal setup const canvas = document.querySelector('canvas'); const adapter = await navigator.gpu.requestAdapter(); @@ -6436,8 +9399,8 @@ const skinnedGridPipeline = createSkinnedGridRenderPipeline(device, presentation ]); // Global Calc const aspect = canvas.width / canvas.height; -const perspectiveProjection = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 0.1, 100.0); -const orthographicProjection = mat4Impl.ortho(-20, 20, -10, 10, -100, 100); +const perspectiveProjection = mat4.perspective((2 * Math.PI) / 5, aspect, 0.1, 100.0); +const orthographicProjection = mat4.ortho(-20, 20, -10, 10, -100, 100); function getProjectionMatrix() { if (settings.object !== 'Skinned Grid') { return perspectiveProjection; @@ -6445,21 +9408,21 @@ function getProjectionMatrix() { return orthographicProjection; } function getViewMatrix() { - const viewMatrix = mat4Impl.identity(); + const viewMatrix = mat4.identity(); if (settings.object === 'Skinned Grid') { - mat4Impl.translate(viewMatrix, vec3Impl.fromValues(settings.cameraX * settings.objectScale, settings.cameraY * settings.objectScale, settings.cameraZ), viewMatrix); + mat4.translate(viewMatrix, vec3.fromValues(settings.cameraX * settings.objectScale, settings.cameraY * settings.objectScale, settings.cameraZ), viewMatrix); } else { - mat4Impl.translate(viewMatrix, vec3Impl.fromValues(settings.cameraX, settings.cameraY, settings.cameraZ), viewMatrix); + mat4.translate(viewMatrix, vec3.fromValues(settings.cameraX, settings.cameraY, settings.cameraZ), viewMatrix); } return viewMatrix; } function getModelMatrix() { - const modelMatrix = mat4Impl.identity(); - const scaleVector = vec3Impl.fromValues(settings.objectScale, settings.objectScale, settings.objectScale); - mat4Impl.scale(modelMatrix, scaleVector, modelMatrix); + const modelMatrix = mat4.identity(); + const scaleVector = vec3.fromValues(settings.objectScale, settings.objectScale, settings.objectScale); + mat4.scale(modelMatrix, scaleVector, modelMatrix); if (settings.object === 'Whale') { - mat4Impl.rotateY(modelMatrix, (Date.now() / 1000) * 0.5, modelMatrix); + mat4.rotateY(modelMatrix, (Date.now() / 1000) * 0.5, modelMatrix); } return modelMatrix; } @@ -6492,12 +9455,12 @@ const skinnedGridRenderPassDescriptor = { ], }; const animSkinnedGrid = (boneTransforms, angle) => { - const m = mat4Impl.identity(); - mat4Impl.rotateZ(m, angle, boneTransforms[0]); - mat4Impl.translate(boneTransforms[0], vec3Impl.create(4, 0, 0), m); - mat4Impl.rotateZ(m, angle, boneTransforms[1]); - mat4Impl.translate(boneTransforms[1], vec3Impl.create(4, 0, 0), m); - mat4Impl.rotateZ(m, angle, boneTransforms[2]); + const m = mat4.identity(); + mat4.rotateZ(m, angle, boneTransforms[0]); + mat4.translate(boneTransforms[0], vec3.create(4, 0, 0), m); + mat4.rotateZ(m, angle, boneTransforms[1]); + mat4.translate(boneTransforms[1], vec3.create(4, 0, 0), m); + mat4.rotateZ(m, angle, boneTransforms[2]); }; // Create a group of bones // Each index associates an actual bone to its transforms, bindPoses, uniforms, etc @@ -6509,13 +9472,13 @@ const createBoneCollection = (numBones) => { const bindPoses = []; // Create a transform, bind pose, and inverse bind pose for each bone for (let i = 0; i < numBones; i++) { - transforms.push(mat4Impl.identity()); - bindPoses.push(mat4Impl.identity()); + transforms.push(mat4.identity()); + bindPoses.push(mat4.identity()); } // Get initial bind pose positions animSkinnedGrid(bindPoses, 0); const bindPosesInv = bindPoses.map((bindPose) => { - return mat4Impl.inverse(bindPose); + return mat4.inverse(bindPose); }); return { transforms, @@ -6541,23 +9504,23 @@ const animWhaleSkin = (skin, angle) => { } // Get the original position, rotation, and scale of the current joint const origMatrix = origMatrices.get(joint); - let m = mat4Impl.create(); + let m = mat4.create(); // Depending on which bone we are accessing, apply a specific rotation to the bone's original // transformation to animate it if (joint === 1 || joint === 0) { - m = mat4Impl.rotateY(origMatrix, -angle); + m = mat4.rotateY(origMatrix, -angle); } else if (joint === 3 || joint === 4) { - m = mat4Impl.rotateX(origMatrix, joint === 3 ? angle : -angle); + m = mat4.rotateX(origMatrix, joint === 3 ? angle : -angle); } else { - m = mat4Impl.rotateZ(origMatrix, angle); + m = mat4.rotateZ(origMatrix, angle); } // Apply the current transformation to the transform values within the relevant nodes // (these nodes, of course, each being nodes that represent joints/bones) - whaleScene.nodes[joint].source.position = mat4Impl.getTranslation(m); - whaleScene.nodes[joint].source.scale = mat4Impl.getScaling(m); - whaleScene.nodes[joint].source.rotation = getRotation(m); + whaleScene.nodes[joint].source.position = mat4.getTranslation(m); + whaleScene.nodes[joint].source.scale = mat4.getScaling(m); + whaleScene.nodes[joint].source.rotation = quat.fromMat(m); } }; function frame() { diff --git a/sample/skinnedMesh/main.js.map b/sample/skinnedMesh/main.js.map index d1f713a2..c53e291f 100644 --- a/sample/skinnedMesh/main.js.map +++ b/sample/skinnedMesh/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/dat.gui/build/dat.gui.module.js","../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../sample/skinnedMesh/glbUtils.ts","../../../../../sample/bitonicSort/utils.ts","../../../../../sample/skinnedMesh/gridData.ts","../../../../../sample/skinnedMesh/gridUtils.ts","../../../../../sample/skinnedMesh/main.ts"],"sourcesContent":["/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","import { Quat } from 'wgpu-matrix';\nimport { Accessor, BufferView, GlTf, Scene } from './gltf';\nimport { Mat4, Vec3, mat4 } from 'wgpu-matrix';\n\n//NOTE: GLTF code is not generally extensible to all gltf models\n// Modified from Will Usher code found at this link https://www.willusher.io/graphics/2023/05/16/0-to-gltf-first-mesh\n\n// Associates the mode paramete of a gltf primitive object with the primitive's intended render mode\nenum GLTFRenderMode {\n POINTS = 0,\n LINE = 1,\n LINE_LOOP = 2,\n LINE_STRIP = 3,\n TRIANGLES = 4,\n TRIANGLE_STRIP = 5,\n TRIANGLE_FAN = 6,\n}\n\n// Determines how to interpret each element of the structure that is accessed from our accessor\nenum GLTFDataComponentType {\n BYTE = 5120,\n UNSIGNED_BYTE = 5121,\n SHORT = 5122,\n UNSIGNED_SHORT = 5123,\n INT = 5124,\n UNSIGNED_INT = 5125,\n FLOAT = 5126,\n DOUBLE = 5130,\n}\n\n// Determines how to interpret the structure of the values accessed by an accessor\nenum GLTFDataStructureType {\n SCALAR = 0,\n VEC2 = 1,\n VEC3 = 2,\n VEC4 = 3,\n MAT2 = 4,\n MAT3 = 5,\n MAT4 = 6,\n}\n\nexport const alignTo = (val: number, align: number): number => {\n return Math.floor((val + align - 1) / align) * align;\n};\n\nconst parseGltfDataStructureType = (type: string) => {\n switch (type) {\n case 'SCALAR':\n return GLTFDataStructureType.SCALAR;\n case 'VEC2':\n return GLTFDataStructureType.VEC2;\n case 'VEC3':\n return GLTFDataStructureType.VEC3;\n case 'VEC4':\n return GLTFDataStructureType.VEC4;\n case 'MAT2':\n return GLTFDataStructureType.MAT2;\n case 'MAT3':\n return GLTFDataStructureType.MAT3;\n case 'MAT4':\n return GLTFDataStructureType.MAT4;\n default:\n throw Error(`Unhandled glTF Type ${type}`);\n }\n};\n\nconst gltfDataStructureTypeNumComponents = (type: GLTFDataStructureType) => {\n switch (type) {\n case GLTFDataStructureType.SCALAR:\n return 1;\n case GLTFDataStructureType.VEC2:\n return 2;\n case GLTFDataStructureType.VEC3:\n return 3;\n case GLTFDataStructureType.VEC4:\n case GLTFDataStructureType.MAT2:\n return 4;\n case GLTFDataStructureType.MAT3:\n return 9;\n case GLTFDataStructureType.MAT4:\n return 16;\n default:\n throw Error(`Invalid glTF Type ${type}`);\n }\n};\n\n// Note: only returns non-normalized type names,\n// so byte/ubyte = sint8/uint8, not snorm8/unorm8, same for ushort\nconst gltfVertexType = (\n componentType: GLTFDataComponentType,\n type: GLTFDataStructureType\n) => {\n let typeStr = null;\n switch (componentType) {\n case GLTFDataComponentType.BYTE:\n typeStr = 'sint8';\n break;\n case GLTFDataComponentType.UNSIGNED_BYTE:\n typeStr = 'uint8';\n break;\n case GLTFDataComponentType.SHORT:\n typeStr = 'sint16';\n break;\n case GLTFDataComponentType.UNSIGNED_SHORT:\n typeStr = 'uint16';\n break;\n case GLTFDataComponentType.INT:\n typeStr = 'int32';\n break;\n case GLTFDataComponentType.UNSIGNED_INT:\n typeStr = 'uint32';\n break;\n case GLTFDataComponentType.FLOAT:\n typeStr = 'float32';\n break;\n default:\n throw Error(`Unrecognized or unsupported glTF type ${componentType}`);\n }\n\n switch (gltfDataStructureTypeNumComponents(type)) {\n case 1:\n return typeStr;\n case 2:\n return typeStr + 'x2';\n case 3:\n return typeStr + 'x3';\n case 4:\n return typeStr + 'x4';\n // Vertex attributes should never be a matrix type, so we should not hit this\n // unless we're passed an improperly created gltf file\n default:\n throw Error(`Invalid number of components for gltfType: ${type}`);\n }\n};\n\nconst gltfElementSize = (\n componentType: GLTFDataComponentType,\n type: GLTFDataStructureType\n) => {\n let componentSize = 0;\n switch (componentType) {\n case GLTFDataComponentType.BYTE:\n componentSize = 1;\n break;\n case GLTFDataComponentType.UNSIGNED_BYTE:\n componentSize = 1;\n break;\n case GLTFDataComponentType.SHORT:\n componentSize = 2;\n break;\n case GLTFDataComponentType.UNSIGNED_SHORT:\n componentSize = 2;\n break;\n case GLTFDataComponentType.INT:\n componentSize = 4;\n break;\n case GLTFDataComponentType.UNSIGNED_INT:\n componentSize = 4;\n break;\n case GLTFDataComponentType.FLOAT:\n componentSize = 4;\n break;\n case GLTFDataComponentType.DOUBLE:\n componentSize = 8;\n break;\n default:\n throw Error('Unrecognized GLTF Component Type?');\n }\n return gltfDataStructureTypeNumComponents(type) * componentSize;\n};\n\n// Convert differently depending on if the shader is a vertex or compute shader\nconst convertGPUVertexFormatToWGSLFormat = (vertexFormat: GPUVertexFormat) => {\n switch (vertexFormat) {\n case 'float32': {\n return 'f32';\n }\n case 'float32x2': {\n return 'vec2f';\n }\n case 'float32x3': {\n return 'vec3f';\n }\n case 'float32x4': {\n return 'vec4f';\n }\n case 'uint32': {\n return 'u32';\n }\n case 'uint32x2': {\n return 'vec2u';\n }\n case 'uint32x3': {\n return 'vec3u';\n }\n case 'uint32x4': {\n return 'vec4u';\n }\n case 'uint8x2': {\n return 'vec2u';\n }\n case 'uint8x4': {\n return 'vec4u';\n }\n case 'uint16x4': {\n return 'vec4u';\n }\n case 'uint16x2': {\n return 'vec2u';\n }\n default: {\n return 'f32';\n }\n }\n};\n\nexport class GLTFBuffer {\n buffer: Uint8Array;\n constructor(buffer: ArrayBuffer, offset: number, size: number) {\n this.buffer = new Uint8Array(buffer, offset, size);\n }\n}\n\nexport class GLTFBufferView {\n byteLength: number;\n byteStride: number;\n view: Uint8Array;\n needsUpload: boolean;\n gpuBuffer: GPUBuffer;\n usage: number;\n constructor(buffer: GLTFBuffer, view: BufferView) {\n this.byteLength = view['byteLength'];\n this.byteStride = 0;\n if (view['byteStride'] !== undefined) {\n this.byteStride = view['byteStride'];\n }\n // Create the buffer view. Note that subarray creates a new typed\n // view over the same array buffer, we do not make a copy here.\n let viewOffset = 0;\n if (view['byteOffset'] !== undefined) {\n viewOffset = view['byteOffset'];\n }\n // NOTE: This creates a uint8array view into the buffer!\n // When we call .buffer on this view, it will give us back the original array buffer\n // Accordingly, when converting our buffer from a uint8array to a float32array representation\n // we need to apply the byte offset of our view when creating our buffer\n // ie new Float32Array(this.view.buffer, this.view.byteOffset, this.view.byteLength)\n this.view = buffer.buffer.subarray(\n viewOffset,\n viewOffset + this.byteLength\n );\n\n this.needsUpload = false;\n this.gpuBuffer = null;\n this.usage = 0;\n }\n\n addUsage(usage: number) {\n this.usage = this.usage | usage;\n }\n\n upload(device: GPUDevice) {\n // Note: must align to 4 byte size when mapped at creation is true\n const buf: GPUBuffer = device.createBuffer({\n size: alignTo(this.view.byteLength, 4),\n usage: this.usage,\n mappedAtCreation: true,\n });\n new Uint8Array(buf.getMappedRange()).set(this.view);\n buf.unmap();\n this.gpuBuffer = buf;\n this.needsUpload = false;\n }\n}\n\nexport class GLTFAccessor {\n count: number;\n componentType: GLTFDataComponentType;\n structureType: GLTFDataStructureType;\n view: GLTFBufferView;\n byteOffset: number;\n constructor(view: GLTFBufferView, accessor: Accessor) {\n this.count = accessor['count'];\n this.componentType = accessor['componentType'];\n this.structureType = parseGltfDataStructureType(accessor['type']);\n this.view = view;\n this.byteOffset = 0;\n if (accessor['byteOffset'] !== undefined) {\n this.byteOffset = accessor['byteOffset'];\n }\n }\n\n get byteStride() {\n const elementSize = gltfElementSize(this.componentType, this.structureType);\n return Math.max(elementSize, this.view.byteStride);\n }\n\n get byteLength() {\n return this.count * this.byteStride;\n }\n\n // Get the vertex attribute type for accessors that are used as vertex attributes\n get vertexType() {\n return gltfVertexType(this.componentType, this.structureType);\n }\n}\n\ninterface AttributeMapInterface {\n [key: string]: GLTFAccessor;\n}\n\nexport class GLTFPrimitive {\n topology: GLTFRenderMode;\n renderPipeline: GPURenderPipeline;\n private attributeMap: AttributeMapInterface;\n private attributes: string[] = [];\n constructor(\n topology: GLTFRenderMode,\n attributeMap: AttributeMapInterface,\n attributes: string[]\n ) {\n this.topology = topology;\n this.renderPipeline = null;\n // Maps attribute names to accessors\n this.attributeMap = attributeMap;\n this.attributes = attributes;\n\n for (const key in this.attributeMap) {\n this.attributeMap[key].view.needsUpload = true;\n if (key === 'INDICES') {\n this.attributeMap['INDICES'].view.addUsage(GPUBufferUsage.INDEX);\n continue;\n }\n this.attributeMap[key].view.addUsage(GPUBufferUsage.VERTEX);\n }\n }\n\n buildRenderPipeline(\n device: GPUDevice,\n vertexShader: string,\n fragmentShader: string,\n colorFormat: GPUTextureFormat,\n depthFormat: GPUTextureFormat,\n bgLayouts: GPUBindGroupLayout[],\n label: string\n ) {\n // For now, just check if the attributeMap contains a given attribute using map.has(), and add it if it does\n // POSITION, NORMAL, TEXCOORD_0, JOINTS_0, WEIGHTS_0 for order\n // Vertex attribute state and shader stage\n let VertexInputShaderString = `struct VertexInput {\\n`;\n const vertexBuffers: GPUVertexBufferLayout[] = this.attributes.map(\n (attr, idx) => {\n const vertexFormat: GPUVertexFormat =\n this.attributeMap[attr].vertexType;\n const attrString = attr.toLowerCase().replace(/_0$/, '');\n VertexInputShaderString += `\\t@location(${idx}) ${attrString}: ${convertGPUVertexFormatToWGSLFormat(\n vertexFormat\n )},\\n`;\n return {\n arrayStride: this.attributeMap[attr].byteStride,\n attributes: [\n {\n format: this.attributeMap[attr].vertexType,\n offset: this.attributeMap[attr].byteOffset,\n shaderLocation: idx,\n },\n ],\n } as GPUVertexBufferLayout;\n }\n );\n VertexInputShaderString += '}';\n\n const vertexState: GPUVertexState = {\n // Shader stage info\n module: device.createShaderModule({\n code: VertexInputShaderString + vertexShader,\n }),\n buffers: vertexBuffers,\n };\n\n const fragmentState: GPUFragmentState = {\n // Shader info\n module: device.createShaderModule({\n code: VertexInputShaderString + fragmentShader,\n }),\n // Output render target info\n targets: [{ format: colorFormat }],\n };\n\n // Our loader only supports triangle lists and strips, so by default we set\n // the primitive topology to triangle list, and check if it's instead a triangle strip\n const primitive: GPUPrimitiveState = { topology: 'triangle-list' };\n if (this.topology == GLTFRenderMode.TRIANGLE_STRIP) {\n primitive.topology = 'triangle-strip';\n primitive.stripIndexFormat = this.attributeMap['INDICES'].vertexType;\n }\n\n const layout: GPUPipelineLayout = device.createPipelineLayout({\n bindGroupLayouts: bgLayouts,\n label: `${label}.pipelineLayout`,\n });\n\n const rpDescript: GPURenderPipelineDescriptor = {\n layout: layout,\n label: `${label}.pipeline`,\n vertex: vertexState,\n fragment: fragmentState,\n primitive: primitive,\n depthStencil: {\n format: depthFormat,\n depthWriteEnabled: true,\n depthCompare: 'less',\n },\n };\n\n this.renderPipeline = device.createRenderPipeline(rpDescript);\n }\n\n render(renderPassEncoder: GPURenderPassEncoder, bindGroups: GPUBindGroup[]) {\n renderPassEncoder.setPipeline(this.renderPipeline);\n bindGroups.forEach((bg, idx) => {\n renderPassEncoder.setBindGroup(idx, bg);\n });\n\n //if skin do something with bone bind group\n this.attributes.map((attr, idx) => {\n renderPassEncoder.setVertexBuffer(\n idx,\n this.attributeMap[attr].view.gpuBuffer,\n this.attributeMap[attr].byteOffset,\n this.attributeMap[attr].byteLength\n );\n });\n\n if (this.attributeMap['INDICES']) {\n renderPassEncoder.setIndexBuffer(\n this.attributeMap['INDICES'].view.gpuBuffer,\n this.attributeMap['INDICES'].vertexType,\n this.attributeMap['INDICES'].byteOffset,\n this.attributeMap['INDICES'].byteLength\n );\n renderPassEncoder.drawIndexed(this.attributeMap['INDICES'].count);\n } else {\n renderPassEncoder.draw(this.attributeMap['POSITION'].count);\n }\n }\n}\n\nexport class GLTFMesh {\n name: string;\n primitives: GLTFPrimitive[];\n constructor(name: string, primitives: GLTFPrimitive[]) {\n this.name = name;\n this.primitives = primitives;\n }\n\n buildRenderPipeline(\n device: GPUDevice,\n vertexShader: string,\n fragmentShader: string,\n colorFormat: GPUTextureFormat,\n depthFormat: GPUTextureFormat,\n bgLayouts: GPUBindGroupLayout[]\n ) {\n // We take a pretty simple approach to start. Just loop through all the primitives and\n // build their respective render pipelines\n for (let i = 0; i < this.primitives.length; ++i) {\n this.primitives[i].buildRenderPipeline(\n device,\n vertexShader,\n fragmentShader,\n colorFormat,\n depthFormat,\n bgLayouts,\n `PrimitivePipeline${i}`\n );\n }\n }\n\n render(renderPassEncoder: GPURenderPassEncoder, bindGroups: GPUBindGroup[]) {\n // We take a pretty simple approach to start. Just loop through all the primitives and\n // call their individual draw methods\n for (let i = 0; i < this.primitives.length; ++i) {\n this.primitives[i].render(renderPassEncoder, bindGroups);\n }\n }\n}\n\nexport const validateGLBHeader = (header: DataView) => {\n if (header.getUint32(0, true) != 0x46546c67) {\n throw Error('Provided file is not a glB file');\n }\n if (header.getUint32(4, true) != 2) {\n throw Error('Provided file is glTF 2.0 file');\n }\n};\n\nexport const validateBinaryHeader = (header: Uint32Array) => {\n if (header[1] != 0x004e4942) {\n throw Error(\n 'Invalid glB: The second chunk of the glB file is not a binary chunk!'\n );\n }\n};\n\ntype TempReturn = {\n meshes: GLTFMesh[];\n nodes: GLTFNode[];\n scenes: GLTFScene[];\n skins: GLTFSkin[];\n};\n\nexport class BaseTransformation {\n position: Vec3;\n rotation: Quat;\n scale: Vec3;\n constructor(\n // Identity translation vec3\n position = [0, 0, 0],\n // Identity quaternion\n rotation = [0, 0, 0, 1],\n // Identity scale vec3\n scale = [1, 1, 1]\n ) {\n this.position = position;\n this.rotation = rotation;\n this.scale = scale;\n }\n getMatrix(): Mat4 {\n // Analagous to let transformationMatrix: mat4x4f = translation * rotation * scale;\n const dst = mat4.identity();\n // Scale the transformation Matrix\n mat4.scale(dst, this.scale, dst);\n // Calculate the rotationMatrix from the quaternion\n const rotationMatrix = mat4.fromQuat(this.rotation);\n // Apply the rotation Matrix to the scaleMatrix (rotMat * scaleMat)\n mat4.multiply(rotationMatrix, dst, dst);\n // Translate the transformationMatrix\n mat4.translate(dst, this.position, dst);\n return dst;\n }\n}\n\nexport class GLTFNode {\n name: string;\n source: BaseTransformation;\n parent: GLTFNode | null;\n children: GLTFNode[];\n // Transforms all node's children in the node's local space, with node itself acting as the origin\n localMatrix: Mat4;\n worldMatrix: Mat4;\n // List of Meshes associated with this node\n drawables: GLTFMesh[];\n test = 0;\n skin?: GLTFSkin;\n private nodeTransformGPUBuffer: GPUBuffer;\n private nodeTransformBindGroup: GPUBindGroup;\n\n constructor(\n device: GPUDevice,\n bgLayout: GPUBindGroupLayout,\n source: BaseTransformation,\n name?: string,\n skin?: GLTFSkin\n ) {\n this.name = name\n ? name\n : `node_${source.position} ${source.rotation} ${source.scale}`;\n this.source = source;\n this.parent = null;\n this.children = [];\n this.localMatrix = mat4.identity();\n this.worldMatrix = mat4.identity();\n this.drawables = [];\n this.nodeTransformGPUBuffer = device.createBuffer({\n size: Float32Array.BYTES_PER_ELEMENT * 16,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n this.nodeTransformBindGroup = device.createBindGroup({\n layout: bgLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: this.nodeTransformGPUBuffer,\n },\n },\n ],\n });\n this.skin = skin;\n }\n\n setParent(parent: GLTFNode) {\n if (this.parent) {\n this.parent.removeChild(this);\n this.parent = null;\n }\n parent.addChild(this);\n this.parent = parent;\n }\n\n updateWorldMatrix(device: GPUDevice, parentWorldMatrix?: Mat4) {\n // Get local transform of this particular node, and if the node has a parent,\n // multiply it against the parent's transform matrix to get transformMatrix relative to world.\n this.localMatrix = this.source.getMatrix();\n if (parentWorldMatrix) {\n mat4.multiply(parentWorldMatrix, this.localMatrix, this.worldMatrix);\n } else {\n mat4.copy(this.localMatrix, this.worldMatrix);\n }\n const worldMatrix = this.worldMatrix as Float32Array;\n device.queue.writeBuffer(\n this.nodeTransformGPUBuffer,\n 0,\n worldMatrix.buffer,\n worldMatrix.byteOffset,\n worldMatrix.byteLength\n );\n for (const child of this.children) {\n child.updateWorldMatrix(device, worldMatrix);\n }\n }\n\n traverse(fn: (n: GLTFNode, ...args) => void) {\n fn(this);\n for (const child of this.children) {\n child.traverse(fn);\n }\n }\n\n renderDrawables(\n passEncoder: GPURenderPassEncoder,\n bindGroups: GPUBindGroup[]\n ) {\n if (this.drawables !== undefined) {\n for (const drawable of this.drawables) {\n if (this.skin) {\n drawable.render(passEncoder, [\n ...bindGroups,\n this.nodeTransformBindGroup,\n this.skin.skinBindGroup,\n ]);\n } else {\n drawable.render(passEncoder, [\n ...bindGroups,\n this.nodeTransformBindGroup,\n ]);\n }\n }\n }\n // Render any of its children\n for (const child of this.children) {\n child.renderDrawables(passEncoder, bindGroups);\n }\n }\n\n private addChild(child: GLTFNode) {\n this.children.push(child);\n }\n\n private removeChild(child: GLTFNode) {\n const ndx = this.children.indexOf(child);\n this.children.splice(ndx, 1);\n }\n}\n\nexport class GLTFScene {\n nodes?: number[];\n root: GLTFNode;\n name?: string;\n\n constructor(\n device: GPUDevice,\n nodeTransformBGL: GPUBindGroupLayout,\n baseScene: Scene\n ) {\n this.nodes = baseScene.nodes;\n this.name = baseScene.name;\n this.root = new GLTFNode(\n device,\n nodeTransformBGL,\n new BaseTransformation(),\n baseScene.name\n );\n }\n}\n\nexport class GLTFSkin {\n // Nodes of the skin's joints\n // [5, 2, 3] means our joint info is at nodes 5, 2, and 3\n joints: number[];\n // Bind Group for this skin's uniform buffer\n skinBindGroup: GPUBindGroup;\n // Static bindGroupLayout shared across all skins\n // In a larger shader with more properties, certain bind groups\n // would likely have to be combined due to device limitations in the number of bind groups\n // allowed within a shader\n // Inverse bind matrices parsed from the accessor\n private inverseBindMatrices: Float32Array;\n private jointMatricesUniformBuffer: GPUBuffer;\n private inverseBindMatricesUniformBuffer: GPUBuffer;\n static skinBindGroupLayout: GPUBindGroupLayout;\n\n static createSharedBindGroupLayout(device: GPUDevice) {\n this.skinBindGroupLayout = device.createBindGroupLayout({\n label: 'StaticGLTFSkin.bindGroupLayout',\n entries: [\n // Holds the initial joint matrices buffer\n {\n binding: 0,\n buffer: {\n type: 'read-only-storage',\n },\n visibility: GPUShaderStage.VERTEX,\n },\n // Holds the inverse bind matrices buffer\n {\n binding: 1,\n buffer: {\n type: 'read-only-storage',\n },\n visibility: GPUShaderStage.VERTEX,\n },\n ],\n });\n }\n\n // For the sake of simplicity and easier debugging, we're going to convert our skin gpu accessor to a\n // float32array, which should be performant enough for this example since there is only one skin (again, this)\n // is not a comprehensive gltf parser\n constructor(\n device: GPUDevice,\n inverseBindMatricesAccessor: GLTFAccessor,\n joints: number[]\n ) {\n if (\n inverseBindMatricesAccessor.componentType !==\n GLTFDataComponentType.FLOAT ||\n inverseBindMatricesAccessor.byteStride !== 64\n ) {\n throw Error(\n `This skin's provided accessor does not access a mat4x4f matrix, or does not access the provided mat4x4f data correctly`\n );\n }\n // NOTE: Come back to this uint8array to float32array conversion in case it is incorrect\n this.inverseBindMatrices = new Float32Array(\n inverseBindMatricesAccessor.view.view.buffer,\n inverseBindMatricesAccessor.view.view.byteOffset,\n inverseBindMatricesAccessor.view.view.byteLength / 4\n );\n this.joints = joints;\n const skinGPUBufferUsage: GPUBufferDescriptor = {\n size: Float32Array.BYTES_PER_ELEMENT * 16 * joints.length,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n };\n this.jointMatricesUniformBuffer = device.createBuffer(skinGPUBufferUsage);\n this.inverseBindMatricesUniformBuffer =\n device.createBuffer(skinGPUBufferUsage);\n device.queue.writeBuffer(\n this.inverseBindMatricesUniformBuffer,\n 0,\n this.inverseBindMatrices\n );\n this.skinBindGroup = device.createBindGroup({\n layout: GLTFSkin.skinBindGroupLayout,\n label: 'StaticGLTFSkin.bindGroup',\n entries: [\n {\n binding: 0,\n resource: {\n buffer: this.jointMatricesUniformBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: this.inverseBindMatricesUniformBuffer,\n },\n },\n ],\n });\n }\n\n update(device: GPUDevice, currentNodeIndex: number, nodes: GLTFNode[]) {\n const globalWorldInverse = mat4.inverse(\n nodes[currentNodeIndex].worldMatrix\n );\n for (let j = 0; j < this.joints.length; j++) {\n const joint = this.joints[j];\n const dstMatrix: Mat4 = mat4.identity();\n mat4.multiply(globalWorldInverse, nodes[joint].worldMatrix, dstMatrix);\n const toWrite = dstMatrix as Float32Array;\n device.queue.writeBuffer(\n this.jointMatricesUniformBuffer,\n j * 64,\n toWrite.buffer,\n toWrite.byteOffset,\n toWrite.byteLength\n );\n }\n }\n}\n\n// Upload a GLB model, parse its JSON and Binary components, and create the requisite GPU resources\n// to render them. NOTE: Not extensible to all GLTF contexts at this point in time\nexport const convertGLBToJSONAndBinary = async (\n buffer: ArrayBuffer,\n device: GPUDevice\n): Promise => {\n // Binary GLTF layout: https://cdn.willusher.io/webgpu-0-to-gltf/glb-layout.svg\n const jsonHeader = new DataView(buffer, 0, 20);\n validateGLBHeader(jsonHeader);\n\n // Length of the jsonChunk found at jsonHeader[12 - 15]\n const jsonChunkLength = jsonHeader.getUint32(12, true);\n\n // Parse the JSON chunk of the glB file to a JSON object\n const jsonChunk: GlTf = JSON.parse(\n new TextDecoder('utf-8').decode(new Uint8Array(buffer, 20, jsonChunkLength))\n );\n\n // Binary data located after jsonChunk\n const binaryHeader = new Uint32Array(buffer, 20 + jsonChunkLength, 2);\n validateBinaryHeader(binaryHeader);\n\n const binaryChunk = new GLTFBuffer(\n buffer,\n 28 + jsonChunkLength,\n binaryHeader[0]\n );\n\n //Const populate missing properties of jsonChunk\n for (const accessor of jsonChunk.accessors) {\n accessor.byteOffset = accessor.byteOffset ?? 0;\n accessor.normalized = accessor.normalized ?? false;\n }\n\n for (const bufferView of jsonChunk.bufferViews) {\n bufferView.byteOffset = bufferView.byteOffset ?? 0;\n }\n\n if (jsonChunk.samplers) {\n for (const sampler of jsonChunk.samplers) {\n sampler.wrapS = sampler.wrapS ?? 10497; //GL.REPEAT\n sampler.wrapT = sampler.wrapT ?? 10947; //GL.REPEAT\n }\n }\n\n //Mark each accessor with its intended usage within the vertexShader.\n //Often necessary due to infrequencey with which the BufferView target field is populated.\n for (const mesh of jsonChunk.meshes) {\n for (const primitive of mesh.primitives) {\n if ('indices' in primitive) {\n const accessor = jsonChunk.accessors[primitive.indices];\n jsonChunk.accessors[primitive.indices].bufferViewUsage |=\n GPUBufferUsage.INDEX;\n jsonChunk.bufferViews[accessor.bufferView].usage |=\n GPUBufferUsage.INDEX;\n }\n for (const attribute of Object.values(primitive.attributes)) {\n const accessor = jsonChunk.accessors[attribute];\n jsonChunk.accessors[attribute].bufferViewUsage |= GPUBufferUsage.VERTEX;\n jsonChunk.bufferViews[accessor.bufferView].usage |=\n GPUBufferUsage.VERTEX;\n }\n }\n }\n\n // Create GLTFBufferView objects for all the buffer views in the glTF file\n const bufferViews: GLTFBufferView[] = [];\n for (let i = 0; i < jsonChunk.bufferViews.length; ++i) {\n bufferViews.push(new GLTFBufferView(binaryChunk, jsonChunk.bufferViews[i]));\n }\n\n const accessors: GLTFAccessor[] = [];\n for (let i = 0; i < jsonChunk.accessors.length; ++i) {\n const accessorInfo = jsonChunk.accessors[i];\n const viewID = accessorInfo['bufferView'];\n accessors.push(new GLTFAccessor(bufferViews[viewID], accessorInfo));\n }\n // Load the first mesh\n const meshes: GLTFMesh[] = [];\n for (let i = 0; i < jsonChunk.meshes.length; i++) {\n const mesh = jsonChunk.meshes[i];\n const meshPrimitives: GLTFPrimitive[] = [];\n for (let j = 0; j < mesh.primitives.length; ++j) {\n const prim = mesh.primitives[j];\n let topology = prim['mode'];\n // Default is triangles if mode specified\n if (topology === undefined) {\n topology = GLTFRenderMode.TRIANGLES;\n }\n if (\n topology != GLTFRenderMode.TRIANGLES &&\n topology != GLTFRenderMode.TRIANGLE_STRIP\n ) {\n throw Error(`Unsupported primitive mode ${prim['mode']}`);\n }\n\n const primitiveAttributeMap = {};\n const attributes = [];\n if (jsonChunk['accessors'][prim['indices']] !== undefined) {\n const indices = accessors[prim['indices']];\n primitiveAttributeMap['INDICES'] = indices;\n }\n\n // Loop through all the attributes and store within our attributeMap\n for (const attr in prim['attributes']) {\n const accessor = accessors[prim['attributes'][attr]];\n primitiveAttributeMap[attr] = accessor;\n if (accessor.structureType > 3) {\n throw Error(\n 'Vertex attribute accessor accessed an unsupported data type for vertex attribute'\n );\n }\n attributes.push(attr);\n }\n meshPrimitives.push(\n new GLTFPrimitive(topology, primitiveAttributeMap, attributes)\n );\n }\n meshes.push(new GLTFMesh(mesh.name, meshPrimitives));\n }\n\n const skins: GLTFSkin[] = [];\n for (const skin of jsonChunk.skins) {\n const inverseBindMatrixAccessor = accessors[skin.inverseBindMatrices];\n inverseBindMatrixAccessor.view.addUsage(\n GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST\n );\n inverseBindMatrixAccessor.view.needsUpload = true;\n }\n\n // Upload the buffer views used by mesh\n for (let i = 0; i < bufferViews.length; ++i) {\n if (bufferViews[i].needsUpload) {\n bufferViews[i].upload(device);\n }\n }\n\n GLTFSkin.createSharedBindGroupLayout(device);\n for (const skin of jsonChunk.skins) {\n const inverseBindMatrixAccessor = accessors[skin.inverseBindMatrices];\n const joints = skin.joints;\n skins.push(new GLTFSkin(device, inverseBindMatrixAccessor, joints));\n }\n\n const nodes: GLTFNode[] = [];\n\n // Access each node. If node references a mesh, add mesh to that node\n const nodeUniformsBindGroupLayout = device.createBindGroupLayout({\n label: 'NodeUniforms.bindGroupLayout',\n entries: [\n {\n binding: 0,\n buffer: {\n type: 'uniform',\n },\n visibility: GPUShaderStage.VERTEX,\n },\n ],\n });\n for (const currNode of jsonChunk.nodes) {\n const baseTransformation = new BaseTransformation(\n currNode.translation,\n currNode.rotation,\n currNode.scale\n );\n const nodeToCreate = new GLTFNode(\n device,\n nodeUniformsBindGroupLayout,\n baseTransformation,\n currNode.name,\n skins[currNode.skin]\n );\n const meshToAdd = meshes[currNode.mesh];\n if (meshToAdd) {\n nodeToCreate.drawables.push(meshToAdd);\n }\n nodes.push(nodeToCreate);\n }\n\n // Assign each node its children\n nodes.forEach((node, idx) => {\n const children = jsonChunk.nodes[idx].children;\n if (children) {\n children.forEach((childIdx) => {\n const child = nodes[childIdx];\n child.setParent(node);\n });\n }\n });\n\n const scenes: GLTFScene[] = [];\n\n for (const jsonScene of jsonChunk.scenes) {\n const scene = new GLTFScene(device, nodeUniformsBindGroupLayout, jsonScene);\n const sceneChildren = scene.nodes;\n sceneChildren.forEach((childIdx) => {\n const child = nodes[childIdx];\n child.setParent(scene.root);\n });\n scenes.push(scene);\n }\n return {\n meshes,\n nodes,\n scenes,\n skins,\n };\n};\n","import type { GUI } from 'dat.gui';\nimport fullscreenTexturedQuad from '../../shaders/fullscreenTexturedQuad.wgsl';\n\ntype BindGroupBindingLayout =\n | GPUBufferBindingLayout\n | GPUTextureBindingLayout\n | GPUSamplerBindingLayout\n | GPUStorageTextureBindingLayout\n | GPUExternalTextureBindingLayout;\n\n// An object containing\n// 1. A generated Bind Group Layout\n// 2. An array of Bind Groups that accord to that layout\nexport type BindGroupCluster = {\n bindGroups: GPUBindGroup[];\n bindGroupLayout: GPUBindGroupLayout;\n};\n\ntype ResourceTypeName =\n | 'buffer'\n | 'texture'\n | 'sampler'\n | 'externalTexture'\n | 'storageTexture';\n\n/**\n * @param {number[]} bindings - The binding value of each resource in the bind group.\n * @param {number[]} visibilities - The GPUShaderStage visibility of the resource at the corresponding index.\n * @param {ResourceTypeName[]} resourceTypes - The resourceType at the corresponding index.\n * @returns {BindGroupsObjectsAndLayout} An object containing an array of bindGroups and the bindGroupLayout they implement.\n */\nexport const createBindGroupCluster = (\n bindings: number[],\n visibilities: number[],\n resourceTypes: ResourceTypeName[],\n resourceLayouts: BindGroupBindingLayout[],\n resources: GPUBindingResource[][],\n label: string,\n device: GPUDevice\n): BindGroupCluster => {\n const layoutEntries: GPUBindGroupLayoutEntry[] = [];\n for (let i = 0; i < bindings.length; i++) {\n layoutEntries.push({\n binding: bindings[i],\n visibility: visibilities[i % visibilities.length],\n [resourceTypes[i]]: resourceLayouts[i],\n });\n }\n\n const bindGroupLayout = device.createBindGroupLayout({\n label: `${label}.bindGroupLayout`,\n entries: layoutEntries,\n });\n\n const bindGroups: GPUBindGroup[] = [];\n //i represent the bindGroup index, j represents the binding index of the resource within the bindgroup\n //i=0, j=0 bindGroup: 0, binding: 0\n //i=1, j=1, bindGroup: 0, binding: 1\n //NOTE: not the same as @group(0) @binding(1) group index within the fragment shader is set within a pipeline\n for (let i = 0; i < resources.length; i++) {\n const groupEntries: GPUBindGroupEntry[] = [];\n for (let j = 0; j < resources[0].length; j++) {\n groupEntries.push({\n binding: j,\n resource: resources[i][j],\n });\n }\n const newBindGroup = device.createBindGroup({\n label: `${label}.bindGroup${i}`,\n layout: bindGroupLayout,\n entries: groupEntries,\n });\n bindGroups.push(newBindGroup);\n }\n\n return {\n bindGroups,\n bindGroupLayout,\n };\n};\n\nexport type ShaderKeyInterface = {\n [K in T[number]]: number;\n};\n\nexport type SampleInitParams = {\n canvas: HTMLCanvasElement;\n gui?: GUI;\n stats?: Stats;\n};\n\ninterface DeviceInitParms {\n device: GPUDevice;\n}\n\ninterface DeviceInit3DParams extends DeviceInitParms {\n context: GPUCanvasContext;\n presentationFormat: GPUTextureFormat;\n timestampQueryAvailable: boolean;\n}\n\ntype CallbackSync3D = (params: SampleInitParams & DeviceInit3DParams) => void;\ntype CallbackAsync3D = (\n params: SampleInitParams & DeviceInit3DParams\n) => Promise;\n\ntype SampleInitCallback3D = CallbackSync3D | CallbackAsync3D;\nexport type SampleInit = (params: SampleInitParams) => void;\n\nexport const SampleInitFactoryWebGPU = async (\n callback: SampleInitCallback3D\n): Promise => {\n const init = async ({ canvas, gui, stats }) => {\n const adapter = await navigator.gpu.requestAdapter();\n const timestampQueryAvailable = adapter.features.has('timestamp-query');\n let device: GPUDevice;\n if (timestampQueryAvailable) {\n device = await adapter.requestDevice({\n requiredFeatures: ['timestamp-query'],\n });\n } else {\n device = await adapter.requestDevice();\n }\n const context = canvas.getContext('webgpu') as GPUCanvasContext;\n const devicePixelRatio = window.devicePixelRatio;\n canvas.width = canvas.clientWidth * devicePixelRatio;\n canvas.height = canvas.clientHeight * devicePixelRatio;\n const presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n context.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n });\n\n callback({\n canvas,\n gui,\n device,\n context,\n presentationFormat,\n stats,\n timestampQueryAvailable,\n });\n };\n return init;\n};\n\nexport abstract class Base2DRendererClass {\n abstract switchBindGroup(name: string): void;\n abstract startRun(\n commandEncoder: GPUCommandEncoder,\n ...args: unknown[]\n ): void;\n renderPassDescriptor: GPURenderPassDescriptor;\n pipeline: GPURenderPipeline;\n bindGroupMap: Record;\n currentBindGroup: GPUBindGroup;\n currentBindGroupName: string;\n\n executeRun(\n commandEncoder: GPUCommandEncoder,\n renderPassDescriptor: GPURenderPassDescriptor,\n pipeline: GPURenderPipeline,\n bindGroups: GPUBindGroup[]\n ) {\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n for (let i = 0; i < bindGroups.length; i++) {\n passEncoder.setBindGroup(i, bindGroups[i]);\n }\n passEncoder.draw(6, 1, 0, 0);\n passEncoder.end();\n }\n\n setUniformArguments(\n device: GPUDevice,\n uniformBuffer: GPUBuffer,\n instance: T,\n keys: K\n ) {\n for (let i = 0; i < keys.length; i++) {\n device.queue.writeBuffer(\n uniformBuffer,\n i * 4,\n new Float32Array([instance[keys[i]]])\n );\n }\n }\n\n create2DRenderPipeline(\n device: GPUDevice,\n label: string,\n bgLayouts: GPUBindGroupLayout[],\n code: string,\n presentationFormat: GPUTextureFormat\n ) {\n return device.createRenderPipeline({\n label: `${label}.pipeline`,\n layout: device.createPipelineLayout({\n bindGroupLayouts: bgLayouts,\n }),\n vertex: {\n module: device.createShaderModule({\n code: fullscreenTexturedQuad,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: code,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'none',\n },\n });\n }\n}\n","/* eslint-disable prettier/prettier */\nexport const gridVertices = new Float32Array([\n // B0\n 0, 1, // 0 \n 0, -1, // 1\n // CONNECTOR\n 2, 1, // 2\n 2, -1, // 3\n // B1\n 4, 1, // 4\n 4, -1, // 5\n // CONNECTOR\n 6, 1, // 6\n 6, -1, // 7\n // B2\n 8, 1, // 8\n 8, -1, // 9,\n // CONNECTOR\n 10, 1, //10\n 10, -1, //11\n // B3\n 12, 1, //12\n 12, -1, //13\n]);\n\n// Representing the indice of four bones that can influence each vertex\nexport const gridJoints = new Uint32Array([\n 0, 0, 0, 0, // Vertex 0 is influenced by bone 0\n 0, 0, 0, 0, // 1\n 0, 1, 0, 0, // 2\n 0, 1, 0, 0, // 3\n 1, 0, 0, 0, // 4\n 1, 0, 0, 0, // 5\n 1, 2, 0, 0, // Vertex 6 is influenced by bone 1 and bone 2\n 1, 2, 0, 0, // 7\n 2, 0, 0, 0, // 8\n 2, 0, 0, 0, // 9\n 1, 2, 3, 0, //10\n 1, 2, 3, 0, //11\n 2, 3, 0, 0, //12\n 2, 3, 0, 0, //13\n])\n\n// The weights applied when ve\nexport const gridWeights = new Float32Array([\n // B0\n 1, 0, 0, 0, // 0\n 1, 0, 0, 0, // 1\n // CONNECTOR\n .5,.5, 0, 0, // 2\n .5,.5, 0, 0, // 3\n // B1\n 1, 0, 0, 0, // 4\n 1, 0, 0, 0, // 5\n // CONNECTOR\n .5,.5, 0, 0, // 6\n .5,.5, 0, 0, // 7\n // B2\n 1, 0, 0, 0, // 8\n 1, 0, 0, 0, // 9\n // CONNECTOR\n .5,.5, 0, 0, // 10\n .5,.5, 0, 0, // 11\n // B3\n 1, 0, 0, 0, // 12\n 1, 0, 0, 0, // 13\n]);\n\n// Using data above...\n// Vertex 0 is influenced by bone 0 with a weight of 1 \n// Vertex 1 is influenced by bone 1 with a weight of 1\n// Vertex 2 is influenced by bone 0 and 1 with a weight of 0.5 each\n// and so on..\n// Although a vertex can hypothetically be influenced by 4 bones,\n// in this example, we stick to each vertex being infleunced by only two\n// although there can be downstream effects of parent bones influencing child bones\n// that influence their own children\n\nexport const gridIndices = new Uint16Array([\n // B0\n 0, 1,\n 0, 2,\n 1, 3,\n // CONNECTOR\n 2, 3, //\n 2, 4,\n 3, 5,\n // B1\n 4, 5,\n 4, 6,\n 5, 7, \n // CONNECTOR\n 6, 7,\n 6, 8,\n 7, 9,\n // B2\n 8, 9,\n 8, 10,\n 9, 11,\n // CONNECTOR\n 10, 11,\n 10, 12,\n 11, 13,\n // B3\n 12, 13,\n]);","import { gridVertices, gridIndices, gridJoints, gridWeights } from './gridData';\n\n// Uses constant grid data to create appropriately sized GPU Buffers for our skinned grid\nexport const createSkinnedGridBuffers = (device: GPUDevice) => {\n // Utility function that creates GPUBuffers from data\n const createBuffer = (\n data: Float32Array | Uint32Array,\n type: 'f32' | 'u32'\n ) => {\n const buffer = device.createBuffer({\n size: data.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n });\n if (type === 'f32') {\n new Float32Array(buffer.getMappedRange()).set(data);\n } else {\n new Uint32Array(buffer.getMappedRange()).set(data);\n }\n buffer.unmap();\n return buffer;\n };\n const positionsBuffer = createBuffer(gridVertices, 'f32');\n const jointsBuffer = createBuffer(gridJoints, 'u32');\n const weightsBuffer = createBuffer(gridWeights, 'f32');\n const indicesBuffer = device.createBuffer({\n size: Uint16Array.BYTES_PER_ELEMENT * gridIndices.length,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n });\n new Uint16Array(indicesBuffer.getMappedRange()).set(gridIndices);\n indicesBuffer.unmap();\n\n return {\n positions: positionsBuffer,\n joints: jointsBuffer,\n weights: weightsBuffer,\n indices: indicesBuffer,\n };\n};\n\nexport const createSkinnedGridRenderPipeline = (\n device: GPUDevice,\n presentationFormat: GPUTextureFormat,\n vertexShader: string,\n fragmentShader: string,\n bgLayouts: GPUBindGroupLayout[]\n) => {\n const pipeline = device.createRenderPipeline({\n label: 'SkinnedGridRenderer',\n layout: device.createPipelineLayout({\n label: `SkinnedGridRenderer.pipelineLayout`,\n bindGroupLayouts: bgLayouts,\n }),\n vertex: {\n module: device.createShaderModule({\n label: `SkinnedGridRenderer.vertexShader`,\n code: vertexShader,\n }),\n buffers: [\n // Vertex Positions (positions)\n {\n arrayStride: Float32Array.BYTES_PER_ELEMENT * 2,\n attributes: [\n {\n format: 'float32x2',\n offset: 0,\n shaderLocation: 0,\n },\n ],\n },\n // Bone Indices (joints)\n {\n arrayStride: Uint32Array.BYTES_PER_ELEMENT * 4,\n attributes: [\n {\n format: 'uint32x4',\n offset: 0,\n shaderLocation: 1,\n },\n ],\n },\n // Bone Weights (weights)\n {\n arrayStride: Float32Array.BYTES_PER_ELEMENT * 4,\n attributes: [\n {\n format: 'float32x4',\n offset: 0,\n shaderLocation: 2,\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n label: `SkinnedGridRenderer.fragmentShader`,\n code: fragmentShader,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'line-list',\n },\n });\n return pipeline;\n};\n","import { GUI } from 'dat.gui';\nimport { convertGLBToJSONAndBinary, GLTFSkin } from './glbUtils';\nimport gltfWGSL from './gltf.wgsl';\nimport gridWGSL from './grid.wgsl';\nimport { Mat4, mat4, Quat, vec3 } from 'wgpu-matrix';\nimport { createBindGroupCluster } from '../bitonicSort/utils';\nimport {\n createSkinnedGridBuffers,\n createSkinnedGridRenderPipeline,\n} from './gridUtils';\nimport { gridIndices } from './gridData';\n\nconst MAT4X4_BYTES = 64;\n\ninterface BoneObject {\n transforms: Mat4[];\n bindPoses: Mat4[];\n bindPosesInv: Mat4[];\n}\n\nenum RenderMode {\n NORMAL,\n JOINTS,\n WEIGHTS,\n}\n\nenum SkinMode {\n ON,\n OFF,\n}\n\n// Copied from toji/gl-matrix\nconst getRotation = (mat: Mat4): Quat => {\n // Initialize our output quaternion\n const out = [0, 0, 0, 0];\n // Extract the scaling factor from the final matrix transformation\n // to normalize our rotation;\n const scaling = mat4.getScaling(mat);\n const is1 = 1 / scaling[0];\n const is2 = 1 / scaling[1];\n const is3 = 1 / scaling[2];\n\n // Scale the matrix elements by the scaling factors\n const sm11 = mat[0] * is1;\n const sm12 = mat[1] * is2;\n const sm13 = mat[2] * is3;\n const sm21 = mat[4] * is1;\n const sm22 = mat[5] * is2;\n const sm23 = mat[6] * is3;\n const sm31 = mat[8] * is1;\n const sm32 = mat[9] * is2;\n const sm33 = mat[10] * is3;\n\n // The trace of a square matrix is the sum of its diagonal entries\n // While the matrix trace has many interesting mathematical properties,\n // the primary purpose of the trace is to assess the characteristics of the rotation.\n const trace = sm11 + sm22 + sm33;\n let S = 0;\n\n // If all matrix elements contribute equally to the rotation.\n if (trace > 0) {\n S = Math.sqrt(trace + 1.0) * 2;\n out[3] = 0.25 * S;\n out[0] = (sm23 - sm32) / S;\n out[1] = (sm31 - sm13) / S;\n out[2] = (sm12 - sm21) / S;\n // If the rotation is primarily around the x-axis\n } else if (sm11 > sm22 && sm11 > sm33) {\n S = Math.sqrt(1.0 + sm11 - sm22 - sm33) * 2;\n out[3] = (sm23 - sm32) / S;\n out[0] = 0.25 * S;\n out[1] = (sm12 + sm21) / S;\n out[2] = (sm31 + sm13) / S;\n // If rotation is primarily around the y-axis\n } else if (sm22 > sm33) {\n S = Math.sqrt(1.0 + sm22 - sm11 - sm33) * 2;\n out[3] = (sm31 - sm13) / S;\n out[0] = (sm12 + sm21) / S;\n out[1] = 0.25 * S;\n out[2] = (sm23 + sm32) / S;\n // If the rotation is primarily around the z-axis\n } else {\n S = Math.sqrt(1.0 + sm33 - sm11 - sm22) * 2;\n out[3] = (sm12 - sm21) / S;\n out[0] = (sm31 + sm13) / S;\n out[1] = (sm23 + sm32) / S;\n out[2] = 0.25 * S;\n }\n\n return out;\n};\n\n//Normal setup\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio || 1;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst settings = {\n cameraX: 0,\n cameraY: -5.1,\n cameraZ: -14.6,\n objectScale: 1,\n angle: 0.2,\n speed: 50,\n object: 'Whale',\n renderMode: 'NORMAL',\n skinMode: 'ON',\n};\n\nconst gui = new GUI();\n\n// Determine whether we want to render our whale or our skinned grid\ngui.add(settings, 'object', ['Whale', 'Skinned Grid']).onChange(() => {\n if (settings.object === 'Skinned Grid') {\n settings.cameraX = -10;\n settings.cameraY = 0;\n settings.objectScale = 1.27;\n } else {\n if (settings.skinMode === 'OFF') {\n settings.cameraX = 0;\n settings.cameraY = 0;\n settings.cameraZ = -11;\n } else {\n settings.cameraX = 0;\n settings.cameraY = -5.1;\n settings.cameraZ = -14.6;\n }\n }\n});\n\n// Output the mesh normals, its joints, or the weights that influence the movement of the joints\ngui\n .add(settings, 'renderMode', ['NORMAL', 'JOINTS', 'WEIGHTS'])\n .onChange(() => {\n device.queue.writeBuffer(\n generalUniformsBuffer,\n 0,\n new Uint32Array([RenderMode[settings.renderMode]])\n );\n });\n// Determine whether the mesh is static or whether skinning is activated\ngui.add(settings, 'skinMode', ['ON', 'OFF']).onChange(() => {\n if (settings.object === 'Whale') {\n if (settings.skinMode === 'OFF') {\n settings.cameraX = 0;\n settings.cameraY = 0;\n settings.cameraZ = -11;\n } else {\n settings.cameraX = 0;\n settings.cameraY = -5.1;\n settings.cameraZ = -14.6;\n }\n }\n device.queue.writeBuffer(\n generalUniformsBuffer,\n 4,\n new Uint32Array([SkinMode[settings.skinMode]])\n );\n});\nconst animFolder = gui.addFolder('Animation Settings');\nanimFolder.add(settings, 'angle', 0.05, 0.5).step(0.05);\nanimFolder.add(settings, 'speed', 10, 100).step(10);\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst cameraBuffer = device.createBuffer({\n size: MAT4X4_BYTES * 3,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst cameraBGCluster = createBindGroupCluster(\n [0],\n [GPUShaderStage.VERTEX],\n ['buffer'],\n [{ type: 'uniform' }],\n [[{ buffer: cameraBuffer }]],\n 'Camera',\n device\n);\n\nconst generalUniformsBuffer = device.createBuffer({\n size: Uint32Array.BYTES_PER_ELEMENT * 2,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst generalUniformsBGCLuster = createBindGroupCluster(\n [0],\n [GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT],\n ['buffer'],\n [{ type: 'uniform' }],\n [[{ buffer: generalUniformsBuffer }]],\n 'General',\n device\n);\n\n// Same bindGroupLayout as in main file.\nconst nodeUniformsBindGroupLayout = device.createBindGroupLayout({\n label: 'NodeUniforms.bindGroupLayout',\n entries: [\n {\n binding: 0,\n buffer: {\n type: 'uniform',\n },\n visibility: GPUShaderStage.VERTEX,\n },\n ],\n});\n\n// Fetch whale resources from the glb file\nconst whaleScene = await fetch('../../assets/gltf/whale.glb')\n .then((res) => res.arrayBuffer())\n .then((buffer) => convertGLBToJSONAndBinary(buffer, device));\n\n// Builds a render pipeline for our whale mesh\n// Since we are building a lightweight gltf parser around a gltf scene with a known\n// quantity of meshes, we only build a renderPipeline for the singular mesh present\n// within our scene. A more robust gltf parser would loop through all the meshes,\n// cache replicated pipelines, and perform other optimizations.\nwhaleScene.meshes[0].buildRenderPipeline(\n device,\n gltfWGSL,\n gltfWGSL,\n presentationFormat,\n depthTexture.format,\n [\n cameraBGCluster.bindGroupLayout,\n generalUniformsBGCLuster.bindGroupLayout,\n nodeUniformsBindGroupLayout,\n GLTFSkin.skinBindGroupLayout,\n ]\n);\n\n// Create skinned grid resources\nconst skinnedGridVertexBuffers = createSkinnedGridBuffers(device);\n// Buffer for our uniforms, joints, and inverse bind matrices\nconst skinnedGridUniformBufferUsage: GPUBufferDescriptor = {\n // 5 4x4 matrices, one for each bone\n size: MAT4X4_BYTES * 5,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n};\nconst skinnedGridJointUniformBuffer = device.createBuffer(\n skinnedGridUniformBufferUsage\n);\nconst skinnedGridInverseBindUniformBuffer = device.createBuffer(\n skinnedGridUniformBufferUsage\n);\nconst skinnedGridBoneBGCluster = createBindGroupCluster(\n [0, 1],\n [GPUShaderStage.VERTEX, GPUShaderStage.VERTEX],\n ['buffer', 'buffer'],\n [{ type: 'read-only-storage' }, { type: 'read-only-storage' }],\n [\n [\n { buffer: skinnedGridJointUniformBuffer },\n { buffer: skinnedGridInverseBindUniformBuffer },\n ],\n ],\n 'SkinnedGridJointUniforms',\n device\n);\nconst skinnedGridPipeline = createSkinnedGridRenderPipeline(\n device,\n presentationFormat,\n gridWGSL,\n gridWGSL,\n [\n cameraBGCluster.bindGroupLayout,\n generalUniformsBGCLuster.bindGroupLayout,\n skinnedGridBoneBGCluster.bindGroupLayout,\n ]\n);\n\n// Global Calc\nconst aspect = canvas.width / canvas.height;\nconst perspectiveProjection = mat4.perspective(\n (2 * Math.PI) / 5,\n aspect,\n 0.1,\n 100.0\n);\n\nconst orthographicProjection = mat4.ortho(-20, 20, -10, 10, -100, 100);\n\nfunction getProjectionMatrix() {\n if (settings.object !== 'Skinned Grid') {\n return perspectiveProjection as Float32Array;\n }\n return orthographicProjection as Float32Array;\n}\n\nfunction getViewMatrix() {\n const viewMatrix = mat4.identity();\n if (settings.object === 'Skinned Grid') {\n mat4.translate(\n viewMatrix,\n vec3.fromValues(\n settings.cameraX * settings.objectScale,\n settings.cameraY * settings.objectScale,\n settings.cameraZ\n ),\n viewMatrix\n );\n } else {\n mat4.translate(\n viewMatrix,\n vec3.fromValues(settings.cameraX, settings.cameraY, settings.cameraZ),\n viewMatrix\n );\n }\n return viewMatrix as Float32Array;\n}\n\nfunction getModelMatrix() {\n const modelMatrix = mat4.identity();\n const scaleVector = vec3.fromValues(\n settings.objectScale,\n settings.objectScale,\n settings.objectScale\n );\n mat4.scale(modelMatrix, scaleVector, modelMatrix);\n if (settings.object === 'Whale') {\n mat4.rotateY(modelMatrix, (Date.now() / 1000) * 0.5, modelMatrix);\n }\n return modelMatrix as Float32Array;\n}\n\n// Pass Descriptor for GLTFs\nconst gltfRenderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.3, 0.3, 0.3, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n depthLoadOp: 'clear',\n depthClearValue: 1.0,\n depthStoreOp: 'store',\n },\n};\n\n// Pass descriptor for grid with no depth testing\nconst skinnedGridRenderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.3, 0.3, 0.3, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n};\n\nconst animSkinnedGrid = (boneTransforms: Mat4[], angle: number) => {\n const m = mat4.identity();\n mat4.rotateZ(m, angle, boneTransforms[0]);\n mat4.translate(boneTransforms[0], vec3.create(4, 0, 0), m);\n mat4.rotateZ(m, angle, boneTransforms[1]);\n mat4.translate(boneTransforms[1], vec3.create(4, 0, 0), m);\n mat4.rotateZ(m, angle, boneTransforms[2]);\n};\n\n// Create a group of bones\n// Each index associates an actual bone to its transforms, bindPoses, uniforms, etc\nconst createBoneCollection = (numBones: number): BoneObject => {\n // Initial bone transformation\n const transforms: Mat4[] = [];\n // Bone bind poses, an extra matrix per joint/bone that represents the starting point\n // of the bone before any transformations are applied\n const bindPoses: Mat4[] = [];\n // Create a transform, bind pose, and inverse bind pose for each bone\n for (let i = 0; i < numBones; i++) {\n transforms.push(mat4.identity());\n bindPoses.push(mat4.identity());\n }\n\n // Get initial bind pose positions\n animSkinnedGrid(bindPoses, 0);\n const bindPosesInv = bindPoses.map((bindPose) => {\n return mat4.inverse(bindPose);\n });\n\n return {\n transforms,\n bindPoses,\n bindPosesInv,\n };\n};\n\n// Create bones of the skinned grid and write the inverse bind positions to\n// the skinned grid's inverse bind matrix array\nconst gridBoneCollection = createBoneCollection(5);\nfor (let i = 0; i < gridBoneCollection.bindPosesInv.length; i++) {\n device.queue.writeBuffer(\n skinnedGridInverseBindUniformBuffer,\n i * 64,\n gridBoneCollection.bindPosesInv[i] as Float32Array\n );\n}\n\n// A map that maps a joint index to the original matrix transformation of a bone\nconst origMatrices = new Map();\nconst animWhaleSkin = (skin: GLTFSkin, angle: number) => {\n for (let i = 0; i < skin.joints.length; i++) {\n // Index into the current joint\n const joint = skin.joints[i];\n // If our map does\n if (!origMatrices.has(joint)) {\n origMatrices.set(joint, whaleScene.nodes[joint].source.getMatrix());\n }\n // Get the original position, rotation, and scale of the current joint\n const origMatrix = origMatrices.get(joint);\n let m = mat4.create();\n // Depending on which bone we are accessing, apply a specific rotation to the bone's original\n // transformation to animate it\n if (joint === 1 || joint === 0) {\n m = mat4.rotateY(origMatrix, -angle);\n } else if (joint === 3 || joint === 4) {\n m = mat4.rotateX(origMatrix, joint === 3 ? angle : -angle);\n } else {\n m = mat4.rotateZ(origMatrix, angle);\n }\n // Apply the current transformation to the transform values within the relevant nodes\n // (these nodes, of course, each being nodes that represent joints/bones)\n whaleScene.nodes[joint].source.position = mat4.getTranslation(m);\n whaleScene.nodes[joint].source.scale = mat4.getScaling(m);\n whaleScene.nodes[joint].source.rotation = getRotation(m);\n }\n};\n\nfunction frame() {\n // Calculate camera matrices\n const projectionMatrix = getProjectionMatrix();\n const viewMatrix = getViewMatrix();\n const modelMatrix = getModelMatrix();\n\n // Calculate bone transformation\n const t = (Date.now() / 20000) * settings.speed;\n const angle = Math.sin(t) * settings.angle;\n // Compute Transforms when angle is applied\n animSkinnedGrid(gridBoneCollection.transforms, angle);\n\n // Write to mvp to camera buffer\n device.queue.writeBuffer(\n cameraBuffer,\n 0,\n projectionMatrix.buffer,\n projectionMatrix.byteOffset,\n projectionMatrix.byteLength\n );\n\n device.queue.writeBuffer(\n cameraBuffer,\n 64,\n viewMatrix.buffer,\n viewMatrix.byteOffset,\n viewMatrix.byteLength\n );\n\n device.queue.writeBuffer(\n cameraBuffer,\n 128,\n modelMatrix.buffer,\n modelMatrix.byteOffset,\n modelMatrix.byteLength\n );\n\n // Write to skinned grid bone uniform buffer\n for (let i = 0; i < gridBoneCollection.transforms.length; i++) {\n device.queue.writeBuffer(\n skinnedGridJointUniformBuffer,\n i * 64,\n gridBoneCollection.transforms[i] as Float32Array\n );\n }\n\n // Difference between these two render passes is just the presence of depthTexture\n gltfRenderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n skinnedGridRenderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n // Update node matrixes\n for (const scene of whaleScene.scenes) {\n scene.root.updateWorldMatrix(device);\n }\n\n // Updates skins (we index into skins in the renderer, which is not the best approach but hey)\n animWhaleSkin(whaleScene.skins[0], Math.sin(t) * settings.angle);\n // Node 6 should be the only node with a drawable mesh so hopefully this works fine\n whaleScene.skins[0].update(device, 6, whaleScene.nodes);\n\n const commandEncoder = device.createCommandEncoder();\n if (settings.object === 'Whale') {\n const passEncoder = commandEncoder.beginRenderPass(\n gltfRenderPassDescriptor\n );\n for (const scene of whaleScene.scenes) {\n scene.root.renderDrawables(passEncoder, [\n cameraBGCluster.bindGroups[0],\n generalUniformsBGCLuster.bindGroups[0],\n ]);\n }\n passEncoder.end();\n } else {\n // Our skinned grid isn't checking for depth, so we pass it\n // a separate render descriptor that does not take in a depth texture\n const passEncoder = commandEncoder.beginRenderPass(\n skinnedGridRenderPassDescriptor\n );\n passEncoder.setPipeline(skinnedGridPipeline);\n passEncoder.setBindGroup(0, cameraBGCluster.bindGroups[0]);\n passEncoder.setBindGroup(1, generalUniformsBGCLuster.bindGroups[0]);\n passEncoder.setBindGroup(2, skinnedGridBoneBGCluster.bindGroups[0]);\n // Pass in vertex and index buffers generated from our static skinned grid\n // data at ./gridData.ts\n passEncoder.setVertexBuffer(0, skinnedGridVertexBuffers.positions);\n passEncoder.setVertexBuffer(1, skinnedGridVertexBuffers.joints);\n passEncoder.setVertexBuffer(2, skinnedGridVertexBuffers.weights);\n passEncoder.setIndexBuffer(skinnedGridVertexBuffers.indices, 'uint16');\n passEncoder.drawIndexed(gridIndices.length, 1);\n passEncoder.end();\n }\n\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/dat.gui/build/dat.gui.module.js","../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../sample/skinnedMesh/glbUtils.ts","../../../../../sample/bitonicSort/utils.ts","../../../../../sample/skinnedMesh/gridData.ts","../../../../../sample/skinnedMesh/gridUtils.ts","../../../../../sample/skinnedMesh/main.ts"],"sourcesContent":["/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + 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isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","import { Quatn } from 'wgpu-matrix';\nimport { Accessor, BufferView, GlTf, Scene } from './gltf';\nimport { Mat4, Vec3n, mat4 } from 'wgpu-matrix';\n\n//NOTE: GLTF code is not generally extensible to all gltf models\n// Modified from Will Usher code found at this link https://www.willusher.io/graphics/2023/05/16/0-to-gltf-first-mesh\n\n// Associates the mode paramete of a gltf primitive object with the primitive's intended render mode\nenum GLTFRenderMode {\n POINTS = 0,\n LINE = 1,\n LINE_LOOP = 2,\n LINE_STRIP = 3,\n TRIANGLES = 4,\n TRIANGLE_STRIP = 5,\n TRIANGLE_FAN = 6,\n}\n\n// Determines how to interpret each element of the structure that is accessed from our accessor\nenum GLTFDataComponentType {\n BYTE = 5120,\n UNSIGNED_BYTE = 5121,\n SHORT = 5122,\n UNSIGNED_SHORT = 5123,\n INT = 5124,\n UNSIGNED_INT = 5125,\n FLOAT = 5126,\n DOUBLE = 5130,\n}\n\n// Determines how to interpret the structure of the values accessed by an accessor\nenum GLTFDataStructureType {\n SCALAR = 0,\n VEC2 = 1,\n VEC3 = 2,\n VEC4 = 3,\n MAT2 = 4,\n MAT3 = 5,\n MAT4 = 6,\n}\n\nexport const alignTo = (val: number, align: number): number => {\n return Math.floor((val + align - 1) / align) * align;\n};\n\nconst parseGltfDataStructureType = (type: string) => {\n switch (type) {\n case 'SCALAR':\n return GLTFDataStructureType.SCALAR;\n case 'VEC2':\n return GLTFDataStructureType.VEC2;\n case 'VEC3':\n return GLTFDataStructureType.VEC3;\n case 'VEC4':\n return GLTFDataStructureType.VEC4;\n case 'MAT2':\n return GLTFDataStructureType.MAT2;\n case 'MAT3':\n return GLTFDataStructureType.MAT3;\n case 'MAT4':\n return GLTFDataStructureType.MAT4;\n default:\n throw Error(`Unhandled glTF Type ${type}`);\n }\n};\n\nconst gltfDataStructureTypeNumComponents = (type: GLTFDataStructureType) => {\n switch (type) {\n case GLTFDataStructureType.SCALAR:\n return 1;\n case GLTFDataStructureType.VEC2:\n return 2;\n case GLTFDataStructureType.VEC3:\n return 3;\n case GLTFDataStructureType.VEC4:\n case GLTFDataStructureType.MAT2:\n return 4;\n case GLTFDataStructureType.MAT3:\n return 9;\n case GLTFDataStructureType.MAT4:\n return 16;\n default:\n throw Error(`Invalid glTF Type ${type}`);\n }\n};\n\n// Note: only returns non-normalized type names,\n// so byte/ubyte = sint8/uint8, not snorm8/unorm8, same for ushort\nconst gltfVertexType = (\n componentType: GLTFDataComponentType,\n type: GLTFDataStructureType\n) => {\n let typeStr = null;\n switch (componentType) {\n case GLTFDataComponentType.BYTE:\n typeStr = 'sint8';\n break;\n case GLTFDataComponentType.UNSIGNED_BYTE:\n typeStr = 'uint8';\n break;\n case GLTFDataComponentType.SHORT:\n typeStr = 'sint16';\n break;\n case GLTFDataComponentType.UNSIGNED_SHORT:\n typeStr = 'uint16';\n break;\n case GLTFDataComponentType.INT:\n typeStr = 'int32';\n break;\n case GLTFDataComponentType.UNSIGNED_INT:\n typeStr = 'uint32';\n break;\n case GLTFDataComponentType.FLOAT:\n typeStr = 'float32';\n break;\n default:\n throw Error(`Unrecognized or unsupported glTF type ${componentType}`);\n }\n\n switch (gltfDataStructureTypeNumComponents(type)) {\n case 1:\n return typeStr;\n case 2:\n return typeStr + 'x2';\n case 3:\n return typeStr + 'x3';\n case 4:\n return typeStr + 'x4';\n // Vertex attributes should never be a matrix type, so we should not hit this\n // unless we're passed an improperly created gltf file\n default:\n throw Error(`Invalid number of components for gltfType: ${type}`);\n }\n};\n\nconst gltfElementSize = (\n componentType: GLTFDataComponentType,\n type: GLTFDataStructureType\n) => {\n let componentSize = 0;\n switch (componentType) {\n case GLTFDataComponentType.BYTE:\n componentSize = 1;\n break;\n case GLTFDataComponentType.UNSIGNED_BYTE:\n componentSize = 1;\n break;\n case GLTFDataComponentType.SHORT:\n componentSize = 2;\n break;\n case GLTFDataComponentType.UNSIGNED_SHORT:\n componentSize = 2;\n break;\n case GLTFDataComponentType.INT:\n componentSize = 4;\n break;\n case GLTFDataComponentType.UNSIGNED_INT:\n componentSize = 4;\n break;\n case GLTFDataComponentType.FLOAT:\n componentSize = 4;\n break;\n case GLTFDataComponentType.DOUBLE:\n componentSize = 8;\n break;\n default:\n throw Error('Unrecognized GLTF Component Type?');\n }\n return gltfDataStructureTypeNumComponents(type) * componentSize;\n};\n\n// Convert differently depending on if the shader is a vertex or compute shader\nconst convertGPUVertexFormatToWGSLFormat = (vertexFormat: GPUVertexFormat) => {\n switch (vertexFormat) {\n case 'float32': {\n return 'f32';\n }\n case 'float32x2': {\n return 'vec2f';\n }\n case 'float32x3': {\n return 'vec3f';\n }\n case 'float32x4': {\n return 'vec4f';\n }\n case 'uint32': {\n return 'u32';\n }\n case 'uint32x2': {\n return 'vec2u';\n }\n case 'uint32x3': {\n return 'vec3u';\n }\n case 'uint32x4': {\n return 'vec4u';\n }\n case 'uint8x2': {\n return 'vec2u';\n }\n case 'uint8x4': {\n return 'vec4u';\n }\n case 'uint16x4': {\n return 'vec4u';\n }\n case 'uint16x2': {\n return 'vec2u';\n }\n default: {\n return 'f32';\n }\n }\n};\n\nexport class GLTFBuffer {\n buffer: Uint8Array;\n constructor(buffer: ArrayBuffer, offset: number, size: number) {\n this.buffer = new Uint8Array(buffer, offset, size);\n }\n}\n\nexport class GLTFBufferView {\n byteLength: number;\n byteStride: number;\n view: Uint8Array;\n needsUpload: boolean;\n gpuBuffer: GPUBuffer;\n usage: number;\n constructor(buffer: GLTFBuffer, view: BufferView) {\n this.byteLength = view['byteLength'];\n this.byteStride = 0;\n if (view['byteStride'] !== undefined) {\n this.byteStride = view['byteStride'];\n }\n // Create the buffer view. Note that subarray creates a new typed\n // view over the same array buffer, we do not make a copy here.\n let viewOffset = 0;\n if (view['byteOffset'] !== undefined) {\n viewOffset = view['byteOffset'];\n }\n // NOTE: This creates a uint8array view into the buffer!\n // When we call .buffer on this view, it will give us back the original array buffer\n // Accordingly, when converting our buffer from a uint8array to a float32array representation\n // we need to apply the byte offset of our view when creating our buffer\n // ie new Float32Array(this.view.buffer, this.view.byteOffset, this.view.byteLength)\n this.view = buffer.buffer.subarray(\n viewOffset,\n viewOffset + this.byteLength\n );\n\n this.needsUpload = false;\n this.gpuBuffer = null;\n this.usage = 0;\n }\n\n addUsage(usage: number) {\n this.usage = this.usage | usage;\n }\n\n upload(device: GPUDevice) {\n // Note: must align to 4 byte size when mapped at creation is true\n const buf: GPUBuffer = device.createBuffer({\n size: alignTo(this.view.byteLength, 4),\n usage: this.usage,\n mappedAtCreation: true,\n });\n new Uint8Array(buf.getMappedRange()).set(this.view);\n buf.unmap();\n this.gpuBuffer = buf;\n this.needsUpload = false;\n }\n}\n\nexport class GLTFAccessor {\n count: number;\n componentType: GLTFDataComponentType;\n structureType: GLTFDataStructureType;\n view: GLTFBufferView;\n byteOffset: number;\n constructor(view: GLTFBufferView, accessor: Accessor) {\n this.count = accessor['count'];\n this.componentType = accessor['componentType'];\n this.structureType = parseGltfDataStructureType(accessor['type']);\n this.view = view;\n this.byteOffset = 0;\n if (accessor['byteOffset'] !== undefined) {\n this.byteOffset = accessor['byteOffset'];\n }\n }\n\n get byteStride() {\n const elementSize = gltfElementSize(this.componentType, this.structureType);\n return Math.max(elementSize, this.view.byteStride);\n }\n\n get byteLength() {\n return this.count * this.byteStride;\n }\n\n // Get the vertex attribute type for accessors that are used as vertex attributes\n get vertexType() {\n return gltfVertexType(this.componentType, this.structureType);\n }\n}\n\ninterface AttributeMapInterface {\n [key: string]: GLTFAccessor;\n}\n\nexport class GLTFPrimitive {\n topology: GLTFRenderMode;\n renderPipeline: GPURenderPipeline;\n private attributeMap: AttributeMapInterface;\n private attributes: string[] = [];\n constructor(\n topology: GLTFRenderMode,\n attributeMap: AttributeMapInterface,\n attributes: string[]\n ) {\n this.topology = topology;\n this.renderPipeline = null;\n // Maps attribute names to accessors\n this.attributeMap = attributeMap;\n this.attributes = attributes;\n\n for (const key in this.attributeMap) {\n this.attributeMap[key].view.needsUpload = true;\n if (key === 'INDICES') {\n this.attributeMap['INDICES'].view.addUsage(GPUBufferUsage.INDEX);\n continue;\n }\n this.attributeMap[key].view.addUsage(GPUBufferUsage.VERTEX);\n }\n }\n\n buildRenderPipeline(\n device: GPUDevice,\n vertexShader: string,\n fragmentShader: string,\n colorFormat: GPUTextureFormat,\n depthFormat: GPUTextureFormat,\n bgLayouts: GPUBindGroupLayout[],\n label: string\n ) {\n // For now, just check if the attributeMap contains a given attribute using map.has(), and add it if it does\n // POSITION, NORMAL, TEXCOORD_0, JOINTS_0, WEIGHTS_0 for order\n // Vertex attribute state and shader stage\n let VertexInputShaderString = `struct VertexInput {\\n`;\n const vertexBuffers: GPUVertexBufferLayout[] = this.attributes.map(\n (attr, idx) => {\n const vertexFormat: GPUVertexFormat =\n this.attributeMap[attr].vertexType;\n const attrString = attr.toLowerCase().replace(/_0$/, '');\n VertexInputShaderString += `\\t@location(${idx}) ${attrString}: ${convertGPUVertexFormatToWGSLFormat(\n vertexFormat\n )},\\n`;\n return {\n arrayStride: this.attributeMap[attr].byteStride,\n attributes: [\n {\n format: this.attributeMap[attr].vertexType,\n offset: this.attributeMap[attr].byteOffset,\n shaderLocation: idx,\n },\n ],\n } as GPUVertexBufferLayout;\n }\n );\n VertexInputShaderString += '}';\n\n const vertexState: GPUVertexState = {\n // Shader stage info\n module: device.createShaderModule({\n code: VertexInputShaderString + vertexShader,\n }),\n buffers: vertexBuffers,\n };\n\n const fragmentState: GPUFragmentState = {\n // Shader info\n module: device.createShaderModule({\n code: VertexInputShaderString + fragmentShader,\n }),\n // Output render target info\n targets: [{ format: colorFormat }],\n };\n\n // Our loader only supports triangle lists and strips, so by default we set\n // the primitive topology to triangle list, and check if it's instead a triangle strip\n const primitive: GPUPrimitiveState = { topology: 'triangle-list' };\n if (this.topology == GLTFRenderMode.TRIANGLE_STRIP) {\n primitive.topology = 'triangle-strip';\n primitive.stripIndexFormat = this.attributeMap['INDICES'].vertexType;\n }\n\n const layout: GPUPipelineLayout = device.createPipelineLayout({\n bindGroupLayouts: bgLayouts,\n label: `${label}.pipelineLayout`,\n });\n\n const rpDescript: GPURenderPipelineDescriptor = {\n layout: layout,\n label: `${label}.pipeline`,\n vertex: vertexState,\n fragment: fragmentState,\n primitive: primitive,\n depthStencil: {\n format: depthFormat,\n depthWriteEnabled: true,\n depthCompare: 'less',\n },\n };\n\n this.renderPipeline = device.createRenderPipeline(rpDescript);\n }\n\n render(renderPassEncoder: GPURenderPassEncoder, bindGroups: GPUBindGroup[]) {\n renderPassEncoder.setPipeline(this.renderPipeline);\n bindGroups.forEach((bg, idx) => {\n renderPassEncoder.setBindGroup(idx, bg);\n });\n\n //if skin do something with bone bind group\n this.attributes.map((attr, idx) => {\n renderPassEncoder.setVertexBuffer(\n idx,\n this.attributeMap[attr].view.gpuBuffer,\n this.attributeMap[attr].byteOffset,\n this.attributeMap[attr].byteLength\n );\n });\n\n if (this.attributeMap['INDICES']) {\n renderPassEncoder.setIndexBuffer(\n this.attributeMap['INDICES'].view.gpuBuffer,\n this.attributeMap['INDICES'].vertexType,\n this.attributeMap['INDICES'].byteOffset,\n this.attributeMap['INDICES'].byteLength\n );\n renderPassEncoder.drawIndexed(this.attributeMap['INDICES'].count);\n } else {\n renderPassEncoder.draw(this.attributeMap['POSITION'].count);\n }\n }\n}\n\nexport class GLTFMesh {\n name: string;\n primitives: GLTFPrimitive[];\n constructor(name: string, primitives: GLTFPrimitive[]) {\n this.name = name;\n this.primitives = primitives;\n }\n\n buildRenderPipeline(\n device: GPUDevice,\n vertexShader: string,\n fragmentShader: string,\n colorFormat: GPUTextureFormat,\n depthFormat: GPUTextureFormat,\n bgLayouts: GPUBindGroupLayout[]\n ) {\n // We take a pretty simple approach to start. Just loop through all the primitives and\n // build their respective render pipelines\n for (let i = 0; i < this.primitives.length; ++i) {\n this.primitives[i].buildRenderPipeline(\n device,\n vertexShader,\n fragmentShader,\n colorFormat,\n depthFormat,\n bgLayouts,\n `PrimitivePipeline${i}`\n );\n }\n }\n\n render(renderPassEncoder: GPURenderPassEncoder, bindGroups: GPUBindGroup[]) {\n // We take a pretty simple approach to start. Just loop through all the primitives and\n // call their individual draw methods\n for (let i = 0; i < this.primitives.length; ++i) {\n this.primitives[i].render(renderPassEncoder, bindGroups);\n }\n }\n}\n\nexport const validateGLBHeader = (header: DataView) => {\n if (header.getUint32(0, true) != 0x46546c67) {\n throw Error('Provided file is not a glB file');\n }\n if (header.getUint32(4, true) != 2) {\n throw Error('Provided file is glTF 2.0 file');\n }\n};\n\nexport const validateBinaryHeader = (header: Uint32Array) => {\n if (header[1] != 0x004e4942) {\n throw Error(\n 'Invalid glB: The second chunk of the glB file is not a binary chunk!'\n );\n }\n};\n\ntype TempReturn = {\n meshes: GLTFMesh[];\n nodes: GLTFNode[];\n scenes: GLTFScene[];\n skins: GLTFSkin[];\n};\n\nexport class BaseTransformation {\n position: Vec3n;\n rotation: Quatn;\n scale: Vec3n;\n constructor(\n // Identity translation vec3\n position = [0, 0, 0],\n // Identity quaternion\n rotation = [0, 0, 0, 1],\n // Identity scale vec3\n scale = [1, 1, 1]\n ) {\n this.position = position;\n this.rotation = rotation;\n this.scale = scale;\n }\n getMatrix(): Mat4 {\n // Analagous to let transformationMatrix: mat4x4f = translation * rotation * scale;\n const dst = mat4.identity();\n // Scale the transformation Matrix\n mat4.scale(dst, this.scale, dst);\n // Calculate the rotationMatrix from the quaternion\n const rotationMatrix = mat4.fromQuat(this.rotation);\n // Apply the rotation Matrix to the scaleMatrix (rotMat * scaleMat)\n mat4.multiply(rotationMatrix, dst, dst);\n // Translate the transformationMatrix\n mat4.translate(dst, this.position, dst);\n return dst;\n }\n}\n\nexport class GLTFNode {\n name: string;\n source: BaseTransformation;\n parent: GLTFNode | null;\n children: GLTFNode[];\n // Transforms all node's children in the node's local space, with node itself acting as the origin\n localMatrix: Mat4;\n worldMatrix: Mat4;\n // List of Meshes associated with this node\n drawables: GLTFMesh[];\n test = 0;\n skin?: GLTFSkin;\n private nodeTransformGPUBuffer: GPUBuffer;\n private nodeTransformBindGroup: GPUBindGroup;\n\n constructor(\n device: GPUDevice,\n bgLayout: GPUBindGroupLayout,\n source: BaseTransformation,\n name?: string,\n skin?: GLTFSkin\n ) {\n this.name = name\n ? name\n : `node_${source.position} ${source.rotation} ${source.scale}`;\n this.source = source;\n this.parent = null;\n this.children = [];\n this.localMatrix = mat4.identity();\n this.worldMatrix = mat4.identity();\n this.drawables = [];\n this.nodeTransformGPUBuffer = device.createBuffer({\n size: Float32Array.BYTES_PER_ELEMENT * 16,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n this.nodeTransformBindGroup = device.createBindGroup({\n layout: bgLayout,\n entries: [\n {\n binding: 0,\n resource: {\n buffer: this.nodeTransformGPUBuffer,\n },\n },\n ],\n });\n this.skin = skin;\n }\n\n setParent(parent: GLTFNode) {\n if (this.parent) {\n this.parent.removeChild(this);\n this.parent = null;\n }\n parent.addChild(this);\n this.parent = parent;\n }\n\n updateWorldMatrix(device: GPUDevice, parentWorldMatrix?: Mat4) {\n // Get local transform of this particular node, and if the node has a parent,\n // multiply it against the parent's transform matrix to get transformMatrix relative to world.\n this.localMatrix = this.source.getMatrix();\n if (parentWorldMatrix) {\n mat4.multiply(parentWorldMatrix, this.localMatrix, this.worldMatrix);\n } else {\n mat4.copy(this.localMatrix, this.worldMatrix);\n }\n const worldMatrix = this.worldMatrix;\n device.queue.writeBuffer(\n this.nodeTransformGPUBuffer,\n 0,\n worldMatrix.buffer,\n worldMatrix.byteOffset,\n worldMatrix.byteLength\n );\n for (const child of this.children) {\n child.updateWorldMatrix(device, worldMatrix);\n }\n }\n\n traverse(fn: (n: GLTFNode, ...args) => void) {\n fn(this);\n for (const child of this.children) {\n child.traverse(fn);\n }\n }\n\n renderDrawables(\n passEncoder: GPURenderPassEncoder,\n bindGroups: GPUBindGroup[]\n ) {\n if (this.drawables !== undefined) {\n for (const drawable of this.drawables) {\n if (this.skin) {\n drawable.render(passEncoder, [\n ...bindGroups,\n this.nodeTransformBindGroup,\n this.skin.skinBindGroup,\n ]);\n } else {\n drawable.render(passEncoder, [\n ...bindGroups,\n this.nodeTransformBindGroup,\n ]);\n }\n }\n }\n // Render any of its children\n for (const child of this.children) {\n child.renderDrawables(passEncoder, bindGroups);\n }\n }\n\n private addChild(child: GLTFNode) {\n this.children.push(child);\n }\n\n private removeChild(child: GLTFNode) {\n const ndx = this.children.indexOf(child);\n this.children.splice(ndx, 1);\n }\n}\n\nexport class GLTFScene {\n nodes?: number[];\n root: GLTFNode;\n name?: string;\n\n constructor(\n device: GPUDevice,\n nodeTransformBGL: GPUBindGroupLayout,\n baseScene: Scene\n ) {\n this.nodes = baseScene.nodes;\n this.name = baseScene.name;\n this.root = new GLTFNode(\n device,\n nodeTransformBGL,\n new BaseTransformation(),\n baseScene.name\n );\n }\n}\n\nexport class GLTFSkin {\n // Nodes of the skin's joints\n // [5, 2, 3] means our joint info is at nodes 5, 2, and 3\n joints: number[];\n // Bind Group for this skin's uniform buffer\n skinBindGroup: GPUBindGroup;\n // Static bindGroupLayout shared across all skins\n // In a larger shader with more properties, certain bind groups\n // would likely have to be combined due to device limitations in the number of bind groups\n // allowed within a shader\n // Inverse bind matrices parsed from the accessor\n private inverseBindMatrices: Float32Array;\n private jointMatricesUniformBuffer: GPUBuffer;\n private inverseBindMatricesUniformBuffer: GPUBuffer;\n static skinBindGroupLayout: GPUBindGroupLayout;\n\n static createSharedBindGroupLayout(device: GPUDevice) {\n this.skinBindGroupLayout = device.createBindGroupLayout({\n label: 'StaticGLTFSkin.bindGroupLayout',\n entries: [\n // Holds the initial joint matrices buffer\n {\n binding: 0,\n buffer: {\n type: 'read-only-storage',\n },\n visibility: GPUShaderStage.VERTEX,\n },\n // Holds the inverse bind matrices buffer\n {\n binding: 1,\n buffer: {\n type: 'read-only-storage',\n },\n visibility: GPUShaderStage.VERTEX,\n },\n ],\n });\n }\n\n // For the sake of simplicity and easier debugging, we're going to convert our skin gpu accessor to a\n // float32array, which should be performant enough for this example since there is only one skin (again, this)\n // is not a comprehensive gltf parser\n constructor(\n device: GPUDevice,\n inverseBindMatricesAccessor: GLTFAccessor,\n joints: number[]\n ) {\n if (\n inverseBindMatricesAccessor.componentType !==\n GLTFDataComponentType.FLOAT ||\n inverseBindMatricesAccessor.byteStride !== 64\n ) {\n throw Error(\n `This skin's provided accessor does not access a mat4x4f matrix, or does not access the provided mat4x4f data correctly`\n );\n }\n // NOTE: Come back to this uint8array to float32array conversion in case it is incorrect\n this.inverseBindMatrices = new Float32Array(\n inverseBindMatricesAccessor.view.view.buffer,\n inverseBindMatricesAccessor.view.view.byteOffset,\n inverseBindMatricesAccessor.view.view.byteLength / 4\n );\n this.joints = joints;\n const skinGPUBufferUsage: GPUBufferDescriptor = {\n size: Float32Array.BYTES_PER_ELEMENT * 16 * joints.length,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n };\n this.jointMatricesUniformBuffer = device.createBuffer(skinGPUBufferUsage);\n this.inverseBindMatricesUniformBuffer =\n device.createBuffer(skinGPUBufferUsage);\n device.queue.writeBuffer(\n this.inverseBindMatricesUniformBuffer,\n 0,\n this.inverseBindMatrices\n );\n this.skinBindGroup = device.createBindGroup({\n layout: GLTFSkin.skinBindGroupLayout,\n label: 'StaticGLTFSkin.bindGroup',\n entries: [\n {\n binding: 0,\n resource: {\n buffer: this.jointMatricesUniformBuffer,\n },\n },\n {\n binding: 1,\n resource: {\n buffer: this.inverseBindMatricesUniformBuffer,\n },\n },\n ],\n });\n }\n\n update(device: GPUDevice, currentNodeIndex: number, nodes: GLTFNode[]) {\n const globalWorldInverse = mat4.inverse(\n nodes[currentNodeIndex].worldMatrix\n );\n for (let j = 0; j < this.joints.length; j++) {\n const joint = this.joints[j];\n const dstMatrix = mat4.identity();\n mat4.multiply(globalWorldInverse, nodes[joint].worldMatrix, dstMatrix);\n const toWrite = dstMatrix;\n device.queue.writeBuffer(\n this.jointMatricesUniformBuffer,\n j * 64,\n toWrite.buffer,\n toWrite.byteOffset,\n toWrite.byteLength\n );\n }\n }\n}\n\n// Upload a GLB model, parse its JSON and Binary components, and create the requisite GPU resources\n// to render them. NOTE: Not extensible to all GLTF contexts at this point in time\nexport const convertGLBToJSONAndBinary = async (\n buffer: ArrayBuffer,\n device: GPUDevice\n): Promise => {\n // Binary GLTF layout: https://cdn.willusher.io/webgpu-0-to-gltf/glb-layout.svg\n const jsonHeader = new DataView(buffer, 0, 20);\n validateGLBHeader(jsonHeader);\n\n // Length of the jsonChunk found at jsonHeader[12 - 15]\n const jsonChunkLength = jsonHeader.getUint32(12, true);\n\n // Parse the JSON chunk of the glB file to a JSON object\n const jsonChunk: GlTf = JSON.parse(\n new TextDecoder('utf-8').decode(new Uint8Array(buffer, 20, jsonChunkLength))\n );\n\n // Binary data located after jsonChunk\n const binaryHeader = new Uint32Array(buffer, 20 + jsonChunkLength, 2);\n validateBinaryHeader(binaryHeader);\n\n const binaryChunk = new GLTFBuffer(\n buffer,\n 28 + jsonChunkLength,\n binaryHeader[0]\n );\n\n //Const populate missing properties of jsonChunk\n for (const accessor of jsonChunk.accessors) {\n accessor.byteOffset = accessor.byteOffset ?? 0;\n accessor.normalized = accessor.normalized ?? false;\n }\n\n for (const bufferView of jsonChunk.bufferViews) {\n bufferView.byteOffset = bufferView.byteOffset ?? 0;\n }\n\n if (jsonChunk.samplers) {\n for (const sampler of jsonChunk.samplers) {\n sampler.wrapS = sampler.wrapS ?? 10497; //GL.REPEAT\n sampler.wrapT = sampler.wrapT ?? 10947; //GL.REPEAT\n }\n }\n\n //Mark each accessor with its intended usage within the vertexShader.\n //Often necessary due to infrequencey with which the BufferView target field is populated.\n for (const mesh of jsonChunk.meshes) {\n for (const primitive of mesh.primitives) {\n if ('indices' in primitive) {\n const accessor = jsonChunk.accessors[primitive.indices];\n jsonChunk.accessors[primitive.indices].bufferViewUsage |=\n GPUBufferUsage.INDEX;\n jsonChunk.bufferViews[accessor.bufferView].usage |=\n GPUBufferUsage.INDEX;\n }\n for (const attribute of Object.values(primitive.attributes)) {\n const accessor = jsonChunk.accessors[attribute];\n jsonChunk.accessors[attribute].bufferViewUsage |= GPUBufferUsage.VERTEX;\n jsonChunk.bufferViews[accessor.bufferView].usage |=\n GPUBufferUsage.VERTEX;\n }\n }\n }\n\n // Create GLTFBufferView objects for all the buffer views in the glTF file\n const bufferViews: GLTFBufferView[] = [];\n for (let i = 0; i < jsonChunk.bufferViews.length; ++i) {\n bufferViews.push(new GLTFBufferView(binaryChunk, jsonChunk.bufferViews[i]));\n }\n\n const accessors: GLTFAccessor[] = [];\n for (let i = 0; i < jsonChunk.accessors.length; ++i) {\n const accessorInfo = jsonChunk.accessors[i];\n const viewID = accessorInfo['bufferView'];\n accessors.push(new GLTFAccessor(bufferViews[viewID], accessorInfo));\n }\n // Load the first mesh\n const meshes: GLTFMesh[] = [];\n for (let i = 0; i < jsonChunk.meshes.length; i++) {\n const mesh = jsonChunk.meshes[i];\n const meshPrimitives: GLTFPrimitive[] = [];\n for (let j = 0; j < mesh.primitives.length; ++j) {\n const prim = mesh.primitives[j];\n let topology = prim['mode'];\n // Default is triangles if mode specified\n if (topology === undefined) {\n topology = GLTFRenderMode.TRIANGLES;\n }\n if (\n topology != GLTFRenderMode.TRIANGLES &&\n topology != GLTFRenderMode.TRIANGLE_STRIP\n ) {\n throw Error(`Unsupported primitive mode ${prim['mode']}`);\n }\n\n const primitiveAttributeMap = {};\n const attributes = [];\n if (jsonChunk['accessors'][prim['indices']] !== undefined) {\n const indices = accessors[prim['indices']];\n primitiveAttributeMap['INDICES'] = indices;\n }\n\n // Loop through all the attributes and store within our attributeMap\n for (const attr in prim['attributes']) {\n const accessor = accessors[prim['attributes'][attr]];\n primitiveAttributeMap[attr] = accessor;\n if (accessor.structureType > 3) {\n throw Error(\n 'Vertex attribute accessor accessed an unsupported data type for vertex attribute'\n );\n }\n attributes.push(attr);\n }\n meshPrimitives.push(\n new GLTFPrimitive(topology, primitiveAttributeMap, attributes)\n );\n }\n meshes.push(new GLTFMesh(mesh.name, meshPrimitives));\n }\n\n const skins: GLTFSkin[] = [];\n for (const skin of jsonChunk.skins) {\n const inverseBindMatrixAccessor = accessors[skin.inverseBindMatrices];\n inverseBindMatrixAccessor.view.addUsage(\n GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST\n );\n inverseBindMatrixAccessor.view.needsUpload = true;\n }\n\n // Upload the buffer views used by mesh\n for (let i = 0; i < bufferViews.length; ++i) {\n if (bufferViews[i].needsUpload) {\n bufferViews[i].upload(device);\n }\n }\n\n GLTFSkin.createSharedBindGroupLayout(device);\n for (const skin of jsonChunk.skins) {\n const inverseBindMatrixAccessor = accessors[skin.inverseBindMatrices];\n const joints = skin.joints;\n skins.push(new GLTFSkin(device, inverseBindMatrixAccessor, joints));\n }\n\n const nodes: GLTFNode[] = [];\n\n // Access each node. If node references a mesh, add mesh to that node\n const nodeUniformsBindGroupLayout = device.createBindGroupLayout({\n label: 'NodeUniforms.bindGroupLayout',\n entries: [\n {\n binding: 0,\n buffer: {\n type: 'uniform',\n },\n visibility: GPUShaderStage.VERTEX,\n },\n ],\n });\n for (const currNode of jsonChunk.nodes) {\n const baseTransformation = new BaseTransformation(\n currNode.translation,\n currNode.rotation,\n currNode.scale\n );\n const nodeToCreate = new GLTFNode(\n device,\n nodeUniformsBindGroupLayout,\n baseTransformation,\n currNode.name,\n skins[currNode.skin]\n );\n const meshToAdd = meshes[currNode.mesh];\n if (meshToAdd) {\n nodeToCreate.drawables.push(meshToAdd);\n }\n nodes.push(nodeToCreate);\n }\n\n // Assign each node its children\n nodes.forEach((node, idx) => {\n const children = jsonChunk.nodes[idx].children;\n if (children) {\n children.forEach((childIdx) => {\n const child = nodes[childIdx];\n child.setParent(node);\n });\n }\n });\n\n const scenes: GLTFScene[] = [];\n\n for (const jsonScene of jsonChunk.scenes) {\n const scene = new GLTFScene(device, nodeUniformsBindGroupLayout, jsonScene);\n const sceneChildren = scene.nodes;\n sceneChildren.forEach((childIdx) => {\n const child = nodes[childIdx];\n child.setParent(scene.root);\n });\n scenes.push(scene);\n }\n return {\n meshes,\n nodes,\n scenes,\n skins,\n };\n};\n","import type { GUI } from 'dat.gui';\nimport fullscreenTexturedQuad from '../../shaders/fullscreenTexturedQuad.wgsl';\n\ntype BindGroupBindingLayout =\n | GPUBufferBindingLayout\n | GPUTextureBindingLayout\n | GPUSamplerBindingLayout\n | GPUStorageTextureBindingLayout\n | GPUExternalTextureBindingLayout;\n\n// An object containing\n// 1. A generated Bind Group Layout\n// 2. An array of Bind Groups that accord to that layout\nexport type BindGroupCluster = {\n bindGroups: GPUBindGroup[];\n bindGroupLayout: GPUBindGroupLayout;\n};\n\ntype ResourceTypeName =\n | 'buffer'\n | 'texture'\n | 'sampler'\n | 'externalTexture'\n | 'storageTexture';\n\n/**\n * @param {number[]} bindings - The binding value of each resource in the bind group.\n * @param {number[]} visibilities - The GPUShaderStage visibility of the resource at the corresponding index.\n * @param {ResourceTypeName[]} resourceTypes - The resourceType at the corresponding index.\n * @returns {BindGroupsObjectsAndLayout} An object containing an array of bindGroups and the bindGroupLayout they implement.\n */\nexport const createBindGroupCluster = (\n bindings: number[],\n visibilities: number[],\n resourceTypes: ResourceTypeName[],\n resourceLayouts: BindGroupBindingLayout[],\n resources: GPUBindingResource[][],\n label: string,\n device: GPUDevice\n): BindGroupCluster => {\n const layoutEntries: GPUBindGroupLayoutEntry[] = [];\n for (let i = 0; i < bindings.length; i++) {\n layoutEntries.push({\n binding: bindings[i],\n visibility: visibilities[i % visibilities.length],\n [resourceTypes[i]]: resourceLayouts[i],\n });\n }\n\n const bindGroupLayout = device.createBindGroupLayout({\n label: `${label}.bindGroupLayout`,\n entries: layoutEntries,\n });\n\n const bindGroups: GPUBindGroup[] = [];\n //i represent the bindGroup index, j represents the binding index of the resource within the bindgroup\n //i=0, j=0 bindGroup: 0, binding: 0\n //i=1, j=1, bindGroup: 0, binding: 1\n //NOTE: not the same as @group(0) @binding(1) group index within the fragment shader is set within a pipeline\n for (let i = 0; i < resources.length; i++) {\n const groupEntries: GPUBindGroupEntry[] = [];\n for (let j = 0; j < resources[0].length; j++) {\n groupEntries.push({\n binding: j,\n resource: resources[i][j],\n });\n }\n const newBindGroup = device.createBindGroup({\n label: `${label}.bindGroup${i}`,\n layout: bindGroupLayout,\n entries: groupEntries,\n });\n bindGroups.push(newBindGroup);\n }\n\n return {\n bindGroups,\n bindGroupLayout,\n };\n};\n\nexport type ShaderKeyInterface = {\n [K in T[number]]: number;\n};\n\nexport type SampleInitParams = {\n canvas: HTMLCanvasElement;\n gui?: GUI;\n stats?: Stats;\n};\n\ninterface DeviceInitParms {\n device: GPUDevice;\n}\n\ninterface DeviceInit3DParams extends DeviceInitParms {\n context: GPUCanvasContext;\n presentationFormat: GPUTextureFormat;\n timestampQueryAvailable: boolean;\n}\n\ntype CallbackSync3D = (params: SampleInitParams & DeviceInit3DParams) => void;\ntype CallbackAsync3D = (\n params: SampleInitParams & DeviceInit3DParams\n) => Promise;\n\ntype SampleInitCallback3D = CallbackSync3D | CallbackAsync3D;\nexport type SampleInit = (params: SampleInitParams) => void;\n\nexport const SampleInitFactoryWebGPU = async (\n callback: SampleInitCallback3D\n): Promise => {\n const init = async ({ canvas, gui, stats }) => {\n const adapter = await navigator.gpu.requestAdapter();\n const timestampQueryAvailable = adapter.features.has('timestamp-query');\n let device: GPUDevice;\n if (timestampQueryAvailable) {\n device = await adapter.requestDevice({\n requiredFeatures: ['timestamp-query'],\n });\n } else {\n device = await adapter.requestDevice();\n }\n const context = canvas.getContext('webgpu') as GPUCanvasContext;\n const devicePixelRatio = window.devicePixelRatio;\n canvas.width = canvas.clientWidth * devicePixelRatio;\n canvas.height = canvas.clientHeight * devicePixelRatio;\n const presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n context.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n });\n\n callback({\n canvas,\n gui,\n device,\n context,\n presentationFormat,\n stats,\n timestampQueryAvailable,\n });\n };\n return init;\n};\n\nexport abstract class Base2DRendererClass {\n abstract switchBindGroup(name: string): void;\n abstract startRun(\n commandEncoder: GPUCommandEncoder,\n ...args: unknown[]\n ): void;\n renderPassDescriptor: GPURenderPassDescriptor;\n pipeline: GPURenderPipeline;\n bindGroupMap: Record;\n currentBindGroup: GPUBindGroup;\n currentBindGroupName: string;\n\n executeRun(\n commandEncoder: GPUCommandEncoder,\n renderPassDescriptor: GPURenderPassDescriptor,\n pipeline: GPURenderPipeline,\n bindGroups: GPUBindGroup[]\n ) {\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n for (let i = 0; i < bindGroups.length; i++) {\n passEncoder.setBindGroup(i, bindGroups[i]);\n }\n passEncoder.draw(6, 1, 0, 0);\n passEncoder.end();\n }\n\n setUniformArguments(\n device: GPUDevice,\n uniformBuffer: GPUBuffer,\n instance: T,\n keys: K\n ) {\n for (let i = 0; i < keys.length; i++) {\n device.queue.writeBuffer(\n uniformBuffer,\n i * 4,\n new Float32Array([instance[keys[i]]])\n );\n }\n }\n\n create2DRenderPipeline(\n device: GPUDevice,\n label: string,\n bgLayouts: GPUBindGroupLayout[],\n code: string,\n presentationFormat: GPUTextureFormat\n ) {\n return device.createRenderPipeline({\n label: `${label}.pipeline`,\n layout: device.createPipelineLayout({\n bindGroupLayouts: bgLayouts,\n }),\n vertex: {\n module: device.createShaderModule({\n code: fullscreenTexturedQuad,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: code,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'none',\n },\n });\n }\n}\n","/* eslint-disable prettier/prettier */\nexport const gridVertices = new Float32Array([\n // B0\n 0, 1, // 0 \n 0, -1, // 1\n // CONNECTOR\n 2, 1, // 2\n 2, -1, // 3\n // B1\n 4, 1, // 4\n 4, -1, // 5\n // CONNECTOR\n 6, 1, // 6\n 6, -1, // 7\n // B2\n 8, 1, // 8\n 8, -1, // 9,\n // CONNECTOR\n 10, 1, //10\n 10, -1, //11\n // B3\n 12, 1, //12\n 12, -1, //13\n]);\n\n// Representing the indice of four bones that can influence each vertex\nexport const gridJoints = new Uint32Array([\n 0, 0, 0, 0, // Vertex 0 is influenced by bone 0\n 0, 0, 0, 0, // 1\n 0, 1, 0, 0, // 2\n 0, 1, 0, 0, // 3\n 1, 0, 0, 0, // 4\n 1, 0, 0, 0, // 5\n 1, 2, 0, 0, // Vertex 6 is influenced by bone 1 and bone 2\n 1, 2, 0, 0, // 7\n 2, 0, 0, 0, // 8\n 2, 0, 0, 0, // 9\n 1, 2, 3, 0, //10\n 1, 2, 3, 0, //11\n 2, 3, 0, 0, //12\n 2, 3, 0, 0, //13\n])\n\n// The weights applied when ve\nexport const gridWeights = new Float32Array([\n // B0\n 1, 0, 0, 0, // 0\n 1, 0, 0, 0, // 1\n // CONNECTOR\n .5,.5, 0, 0, // 2\n .5,.5, 0, 0, // 3\n // B1\n 1, 0, 0, 0, // 4\n 1, 0, 0, 0, // 5\n // CONNECTOR\n .5,.5, 0, 0, // 6\n .5,.5, 0, 0, // 7\n // B2\n 1, 0, 0, 0, // 8\n 1, 0, 0, 0, // 9\n // CONNECTOR\n .5,.5, 0, 0, // 10\n .5,.5, 0, 0, // 11\n // B3\n 1, 0, 0, 0, // 12\n 1, 0, 0, 0, // 13\n]);\n\n// Using data above...\n// Vertex 0 is influenced by bone 0 with a weight of 1 \n// Vertex 1 is influenced by bone 1 with a weight of 1\n// Vertex 2 is influenced by bone 0 and 1 with a weight of 0.5 each\n// and so on..\n// Although a vertex can hypothetically be influenced by 4 bones,\n// in this example, we stick to each vertex being infleunced by only two\n// although there can be downstream effects of parent bones influencing child bones\n// that influence their own children\n\nexport const gridIndices = new Uint16Array([\n // B0\n 0, 1,\n 0, 2,\n 1, 3,\n // CONNECTOR\n 2, 3, //\n 2, 4,\n 3, 5,\n // B1\n 4, 5,\n 4, 6,\n 5, 7, \n // CONNECTOR\n 6, 7,\n 6, 8,\n 7, 9,\n // B2\n 8, 9,\n 8, 10,\n 9, 11,\n // CONNECTOR\n 10, 11,\n 10, 12,\n 11, 13,\n // B3\n 12, 13,\n]);","import { gridVertices, gridIndices, gridJoints, gridWeights } from './gridData';\n\n// Uses constant grid data to create appropriately sized GPU Buffers for our skinned grid\nexport const createSkinnedGridBuffers = (device: GPUDevice) => {\n // Utility function that creates GPUBuffers from data\n const createBuffer = (\n data: Float32Array | Uint32Array,\n type: 'f32' | 'u32'\n ) => {\n const buffer = device.createBuffer({\n size: data.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n });\n if (type === 'f32') {\n new Float32Array(buffer.getMappedRange()).set(data);\n } else {\n new Uint32Array(buffer.getMappedRange()).set(data);\n }\n buffer.unmap();\n return buffer;\n };\n const positionsBuffer = createBuffer(gridVertices, 'f32');\n const jointsBuffer = createBuffer(gridJoints, 'u32');\n const weightsBuffer = createBuffer(gridWeights, 'f32');\n const indicesBuffer = device.createBuffer({\n size: Uint16Array.BYTES_PER_ELEMENT * gridIndices.length,\n usage: GPUBufferUsage.INDEX,\n mappedAtCreation: true,\n });\n new Uint16Array(indicesBuffer.getMappedRange()).set(gridIndices);\n indicesBuffer.unmap();\n\n return {\n positions: positionsBuffer,\n joints: jointsBuffer,\n weights: weightsBuffer,\n indices: indicesBuffer,\n };\n};\n\nexport const createSkinnedGridRenderPipeline = (\n device: GPUDevice,\n presentationFormat: GPUTextureFormat,\n vertexShader: string,\n fragmentShader: string,\n bgLayouts: GPUBindGroupLayout[]\n) => {\n const pipeline = device.createRenderPipeline({\n label: 'SkinnedGridRenderer',\n layout: device.createPipelineLayout({\n label: `SkinnedGridRenderer.pipelineLayout`,\n bindGroupLayouts: bgLayouts,\n }),\n vertex: {\n module: device.createShaderModule({\n label: `SkinnedGridRenderer.vertexShader`,\n code: vertexShader,\n }),\n buffers: [\n // Vertex Positions (positions)\n {\n arrayStride: Float32Array.BYTES_PER_ELEMENT * 2,\n attributes: [\n {\n format: 'float32x2',\n offset: 0,\n shaderLocation: 0,\n },\n ],\n },\n // Bone Indices (joints)\n {\n arrayStride: Uint32Array.BYTES_PER_ELEMENT * 4,\n attributes: [\n {\n format: 'uint32x4',\n offset: 0,\n shaderLocation: 1,\n },\n ],\n },\n // Bone Weights (weights)\n {\n arrayStride: Float32Array.BYTES_PER_ELEMENT * 4,\n attributes: [\n {\n format: 'float32x4',\n offset: 0,\n shaderLocation: 2,\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n label: `SkinnedGridRenderer.fragmentShader`,\n code: fragmentShader,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'line-list',\n },\n });\n return pipeline;\n};\n","import { GUI } from 'dat.gui';\nimport { convertGLBToJSONAndBinary, GLTFSkin } from './glbUtils';\nimport gltfWGSL from './gltf.wgsl';\nimport gridWGSL from './grid.wgsl';\nimport { Mat4, mat4, quat, vec3 } from 'wgpu-matrix';\nimport { createBindGroupCluster } from '../bitonicSort/utils';\nimport {\n createSkinnedGridBuffers,\n createSkinnedGridRenderPipeline,\n} from './gridUtils';\nimport { gridIndices } from './gridData';\n\nconst MAT4X4_BYTES = 64;\n\ninterface BoneObject {\n transforms: Mat4[];\n bindPoses: Mat4[];\n bindPosesInv: Mat4[];\n}\n\nenum RenderMode {\n NORMAL,\n JOINTS,\n WEIGHTS,\n}\n\nenum SkinMode {\n ON,\n OFF,\n}\n\n/*\n// Copied from toji/gl-matrix\nconst getRotation = (mat: Mat4): Quat => {\n // Initialize our output quaternion\n const out = [0, 0, 0, 0];\n // Extract the scaling factor from the final matrix transformation\n // to normalize our rotation;\n const scaling = mat4.getScaling(mat);\n const is1 = 1 / scaling[0];\n const is2 = 1 / scaling[1];\n const is3 = 1 / scaling[2];\n\n // Scale the matrix elements by the scaling factors\n const sm11 = mat[0] * is1;\n const sm12 = mat[1] * is2;\n const sm13 = mat[2] * is3;\n const sm21 = mat[4] * is1;\n const sm22 = mat[5] * is2;\n const sm23 = mat[6] * is3;\n const sm31 = mat[8] * is1;\n const sm32 = mat[9] * is2;\n const sm33 = mat[10] * is3;\n\n // The trace of a square matrix is the sum of its diagonal entries\n // While the matrix trace has many interesting mathematical properties,\n // the primary purpose of the trace is to assess the characteristics of the rotation.\n const trace = sm11 + sm22 + sm33;\n let S = 0;\n\n // If all matrix elements contribute equally to the rotation.\n if (trace > 0) {\n S = Math.sqrt(trace + 1.0) * 2;\n out[3] = 0.25 * S;\n out[0] = (sm23 - sm32) / S;\n out[1] = (sm31 - sm13) / S;\n out[2] = (sm12 - sm21) / S;\n // If the rotation is primarily around the x-axis\n } else if (sm11 > sm22 && sm11 > sm33) {\n S = Math.sqrt(1.0 + sm11 - sm22 - sm33) * 2;\n out[3] = (sm23 - sm32) / S;\n out[0] = 0.25 * S;\n out[1] = (sm12 + sm21) / S;\n out[2] = (sm31 + sm13) / S;\n // If rotation is primarily around the y-axis\n } else if (sm22 > sm33) {\n S = Math.sqrt(1.0 + sm22 - sm11 - sm33) * 2;\n out[3] = (sm31 - sm13) / S;\n out[0] = (sm12 + sm21) / S;\n out[1] = 0.25 * S;\n out[2] = (sm23 + sm32) / S;\n // If the rotation is primarily around the z-axis\n } else {\n S = Math.sqrt(1.0 + sm33 - sm11 - sm22) * 2;\n out[3] = (sm12 - sm21) / S;\n out[0] = (sm31 + sm13) / S;\n out[1] = (sm23 + sm32) / S;\n out[2] = 0.25 * S;\n }\n\n return out;\n};\n*/\n\n//Normal setup\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio || 1;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst settings = {\n cameraX: 0,\n cameraY: -5.1,\n cameraZ: -14.6,\n objectScale: 1,\n angle: 0.2,\n speed: 50,\n object: 'Whale',\n renderMode: 'NORMAL',\n skinMode: 'ON',\n};\n\nconst gui = new GUI();\n\n// Determine whether we want to render our whale or our skinned grid\ngui.add(settings, 'object', ['Whale', 'Skinned Grid']).onChange(() => {\n if (settings.object === 'Skinned Grid') {\n settings.cameraX = -10;\n settings.cameraY = 0;\n settings.objectScale = 1.27;\n } else {\n if (settings.skinMode === 'OFF') {\n settings.cameraX = 0;\n settings.cameraY = 0;\n settings.cameraZ = -11;\n } else {\n settings.cameraX = 0;\n settings.cameraY = -5.1;\n settings.cameraZ = -14.6;\n }\n }\n});\n\n// Output the mesh normals, its joints, or the weights that influence the movement of the joints\ngui\n .add(settings, 'renderMode', ['NORMAL', 'JOINTS', 'WEIGHTS'])\n .onChange(() => {\n device.queue.writeBuffer(\n generalUniformsBuffer,\n 0,\n new Uint32Array([RenderMode[settings.renderMode]])\n );\n });\n// Determine whether the mesh is static or whether skinning is activated\ngui.add(settings, 'skinMode', ['ON', 'OFF']).onChange(() => {\n if (settings.object === 'Whale') {\n if (settings.skinMode === 'OFF') {\n settings.cameraX = 0;\n settings.cameraY = 0;\n settings.cameraZ = -11;\n } else {\n settings.cameraX = 0;\n settings.cameraY = -5.1;\n settings.cameraZ = -14.6;\n }\n }\n device.queue.writeBuffer(\n generalUniformsBuffer,\n 4,\n new Uint32Array([SkinMode[settings.skinMode]])\n );\n});\nconst animFolder = gui.addFolder('Animation Settings');\nanimFolder.add(settings, 'angle', 0.05, 0.5).step(0.05);\nanimFolder.add(settings, 'speed', 10, 100).step(10);\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst cameraBuffer = device.createBuffer({\n size: MAT4X4_BYTES * 3,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst cameraBGCluster = createBindGroupCluster(\n [0],\n [GPUShaderStage.VERTEX],\n ['buffer'],\n [{ type: 'uniform' }],\n [[{ buffer: cameraBuffer }]],\n 'Camera',\n device\n);\n\nconst generalUniformsBuffer = device.createBuffer({\n size: Uint32Array.BYTES_PER_ELEMENT * 2,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst generalUniformsBGCLuster = createBindGroupCluster(\n [0],\n [GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT],\n ['buffer'],\n [{ type: 'uniform' }],\n [[{ buffer: generalUniformsBuffer }]],\n 'General',\n device\n);\n\n// Same bindGroupLayout as in main file.\nconst nodeUniformsBindGroupLayout = device.createBindGroupLayout({\n label: 'NodeUniforms.bindGroupLayout',\n entries: [\n {\n binding: 0,\n buffer: {\n type: 'uniform',\n },\n visibility: GPUShaderStage.VERTEX,\n },\n ],\n});\n\n// Fetch whale resources from the glb file\nconst whaleScene = await fetch('../../assets/gltf/whale.glb')\n .then((res) => res.arrayBuffer())\n .then((buffer) => convertGLBToJSONAndBinary(buffer, device));\n\n// Builds a render pipeline for our whale mesh\n// Since we are building a lightweight gltf parser around a gltf scene with a known\n// quantity of meshes, we only build a renderPipeline for the singular mesh present\n// within our scene. A more robust gltf parser would loop through all the meshes,\n// cache replicated pipelines, and perform other optimizations.\nwhaleScene.meshes[0].buildRenderPipeline(\n device,\n gltfWGSL,\n gltfWGSL,\n presentationFormat,\n depthTexture.format,\n [\n cameraBGCluster.bindGroupLayout,\n generalUniformsBGCLuster.bindGroupLayout,\n nodeUniformsBindGroupLayout,\n GLTFSkin.skinBindGroupLayout,\n ]\n);\n\n// Create skinned grid resources\nconst skinnedGridVertexBuffers = createSkinnedGridBuffers(device);\n// Buffer for our uniforms, joints, and inverse bind matrices\nconst skinnedGridUniformBufferUsage: GPUBufferDescriptor = {\n // 5 4x4 matrices, one for each bone\n size: MAT4X4_BYTES * 5,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n};\nconst skinnedGridJointUniformBuffer = device.createBuffer(\n skinnedGridUniformBufferUsage\n);\nconst skinnedGridInverseBindUniformBuffer = device.createBuffer(\n skinnedGridUniformBufferUsage\n);\nconst skinnedGridBoneBGCluster = createBindGroupCluster(\n [0, 1],\n [GPUShaderStage.VERTEX, GPUShaderStage.VERTEX],\n ['buffer', 'buffer'],\n [{ type: 'read-only-storage' }, { type: 'read-only-storage' }],\n [\n [\n { buffer: skinnedGridJointUniformBuffer },\n { buffer: skinnedGridInverseBindUniformBuffer },\n ],\n ],\n 'SkinnedGridJointUniforms',\n device\n);\nconst skinnedGridPipeline = createSkinnedGridRenderPipeline(\n device,\n presentationFormat,\n gridWGSL,\n gridWGSL,\n [\n cameraBGCluster.bindGroupLayout,\n generalUniformsBGCLuster.bindGroupLayout,\n skinnedGridBoneBGCluster.bindGroupLayout,\n ]\n);\n\n// Global Calc\nconst aspect = canvas.width / canvas.height;\nconst perspectiveProjection = mat4.perspective(\n (2 * Math.PI) / 5,\n aspect,\n 0.1,\n 100.0\n);\n\nconst orthographicProjection = mat4.ortho(-20, 20, -10, 10, -100, 100);\n\nfunction getProjectionMatrix() {\n if (settings.object !== 'Skinned Grid') {\n return perspectiveProjection;\n }\n return orthographicProjection;\n}\n\nfunction getViewMatrix() {\n const viewMatrix = mat4.identity();\n if (settings.object === 'Skinned Grid') {\n mat4.translate(\n viewMatrix,\n vec3.fromValues(\n settings.cameraX * settings.objectScale,\n settings.cameraY * settings.objectScale,\n settings.cameraZ\n ),\n viewMatrix\n );\n } else {\n mat4.translate(\n viewMatrix,\n vec3.fromValues(settings.cameraX, settings.cameraY, settings.cameraZ),\n viewMatrix\n );\n }\n return viewMatrix;\n}\n\nfunction getModelMatrix() {\n const modelMatrix = mat4.identity();\n const scaleVector = vec3.fromValues(\n settings.objectScale,\n settings.objectScale,\n settings.objectScale\n );\n mat4.scale(modelMatrix, scaleVector, modelMatrix);\n if (settings.object === 'Whale') {\n mat4.rotateY(modelMatrix, (Date.now() / 1000) * 0.5, modelMatrix);\n }\n return modelMatrix;\n}\n\n// Pass Descriptor for GLTFs\nconst gltfRenderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.3, 0.3, 0.3, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n depthLoadOp: 'clear',\n depthClearValue: 1.0,\n depthStoreOp: 'store',\n },\n};\n\n// Pass descriptor for grid with no depth testing\nconst skinnedGridRenderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.3, 0.3, 0.3, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n};\n\nconst animSkinnedGrid = (boneTransforms: Mat4[], angle: number) => {\n const m = mat4.identity();\n mat4.rotateZ(m, angle, boneTransforms[0]);\n mat4.translate(boneTransforms[0], vec3.create(4, 0, 0), m);\n mat4.rotateZ(m, angle, boneTransforms[1]);\n mat4.translate(boneTransforms[1], vec3.create(4, 0, 0), m);\n mat4.rotateZ(m, angle, boneTransforms[2]);\n};\n\n// Create a group of bones\n// Each index associates an actual bone to its transforms, bindPoses, uniforms, etc\nconst createBoneCollection = (numBones: number): BoneObject => {\n // Initial bone transformation\n const transforms: Mat4[] = [];\n // Bone bind poses, an extra matrix per joint/bone that represents the starting point\n // of the bone before any transformations are applied\n const bindPoses: Mat4[] = [];\n // Create a transform, bind pose, and inverse bind pose for each bone\n for (let i = 0; i < numBones; i++) {\n transforms.push(mat4.identity());\n bindPoses.push(mat4.identity());\n }\n\n // Get initial bind pose positions\n animSkinnedGrid(bindPoses, 0);\n const bindPosesInv = bindPoses.map((bindPose) => {\n return mat4.inverse(bindPose);\n });\n\n return {\n transforms,\n bindPoses,\n bindPosesInv,\n };\n};\n\n// Create bones of the skinned grid and write the inverse bind positions to\n// the skinned grid's inverse bind matrix array\nconst gridBoneCollection = createBoneCollection(5);\nfor (let i = 0; i < gridBoneCollection.bindPosesInv.length; i++) {\n device.queue.writeBuffer(\n skinnedGridInverseBindUniformBuffer,\n i * 64,\n gridBoneCollection.bindPosesInv[i]\n );\n}\n\n// A map that maps a joint index to the original matrix transformation of a bone\nconst origMatrices = new Map();\nconst animWhaleSkin = (skin: GLTFSkin, angle: number) => {\n for (let i = 0; i < skin.joints.length; i++) {\n // Index into the current joint\n const joint = skin.joints[i];\n // If our map does\n if (!origMatrices.has(joint)) {\n origMatrices.set(joint, whaleScene.nodes[joint].source.getMatrix());\n }\n // Get the original position, rotation, and scale of the current joint\n const origMatrix = origMatrices.get(joint);\n let m = mat4.create();\n // Depending on which bone we are accessing, apply a specific rotation to the bone's original\n // transformation to animate it\n if (joint === 1 || joint === 0) {\n m = mat4.rotateY(origMatrix, -angle);\n } else if (joint === 3 || joint === 4) {\n m = mat4.rotateX(origMatrix, joint === 3 ? angle : -angle);\n } else {\n m = mat4.rotateZ(origMatrix, angle);\n }\n // Apply the current transformation to the transform values within the relevant nodes\n // (these nodes, of course, each being nodes that represent joints/bones)\n whaleScene.nodes[joint].source.position = mat4.getTranslation(m);\n whaleScene.nodes[joint].source.scale = mat4.getScaling(m);\n whaleScene.nodes[joint].source.rotation = quat.fromMat(m);\n }\n};\n\nfunction frame() {\n // Calculate camera matrices\n const projectionMatrix = getProjectionMatrix();\n const viewMatrix = getViewMatrix();\n const modelMatrix = getModelMatrix();\n\n // Calculate bone transformation\n const t = (Date.now() / 20000) * settings.speed;\n const angle = Math.sin(t) * settings.angle;\n // Compute Transforms when angle is applied\n animSkinnedGrid(gridBoneCollection.transforms, angle);\n\n // Write to mvp to camera buffer\n device.queue.writeBuffer(\n cameraBuffer,\n 0,\n projectionMatrix.buffer,\n projectionMatrix.byteOffset,\n projectionMatrix.byteLength\n );\n\n device.queue.writeBuffer(\n cameraBuffer,\n 64,\n viewMatrix.buffer,\n viewMatrix.byteOffset,\n viewMatrix.byteLength\n );\n\n device.queue.writeBuffer(\n cameraBuffer,\n 128,\n modelMatrix.buffer,\n modelMatrix.byteOffset,\n modelMatrix.byteLength\n );\n\n // Write to skinned grid bone uniform buffer\n for (let i = 0; i < gridBoneCollection.transforms.length; i++) {\n device.queue.writeBuffer(\n skinnedGridJointUniformBuffer,\n i * 64,\n gridBoneCollection.transforms[i]\n );\n }\n\n // Difference between these two render passes is just the presence of depthTexture\n gltfRenderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n skinnedGridRenderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n // Update node matrixes\n for (const scene of whaleScene.scenes) {\n scene.root.updateWorldMatrix(device);\n }\n\n // Updates skins (we index into skins in the renderer, which is not the best approach but hey)\n animWhaleSkin(whaleScene.skins[0], Math.sin(t) * settings.angle);\n // Node 6 should be the only node with a drawable mesh so hopefully this works fine\n whaleScene.skins[0].update(device, 6, whaleScene.nodes);\n\n const commandEncoder = device.createCommandEncoder();\n if (settings.object === 'Whale') {\n const passEncoder = commandEncoder.beginRenderPass(\n gltfRenderPassDescriptor\n );\n for (const scene of whaleScene.scenes) {\n scene.root.renderDrawables(passEncoder, [\n cameraBGCluster.bindGroups[0],\n generalUniformsBGCLuster.bindGroups[0],\n ]);\n }\n passEncoder.end();\n } else {\n // Our skinned grid isn't checking for depth, so we pass it\n // a separate render descriptor that does not take in a depth texture\n const passEncoder = commandEncoder.beginRenderPass(\n skinnedGridRenderPassDescriptor\n );\n passEncoder.setPipeline(skinnedGridPipeline);\n passEncoder.setBindGroup(0, cameraBGCluster.bindGroups[0]);\n passEncoder.setBindGroup(1, generalUniformsBGCLuster.bindGroups[0]);\n passEncoder.setBindGroup(2, skinnedGridBoneBGCluster.bindGroups[0]);\n // Pass in vertex and index buffers generated from our static skinned grid\n // data at ./gridData.ts\n passEncoder.setVertexBuffer(0, skinnedGridVertexBuffers.positions);\n passEncoder.setVertexBuffer(1, skinnedGridVertexBuffers.joints);\n passEncoder.setVertexBuffer(2, skinnedGridVertexBuffers.weights);\n passEncoder.setIndexBuffer(skinnedGridVertexBuffers.indices, 'uint16');\n passEncoder.drawIndexed(gridIndices.length, 1);\n passEncoder.end();\n }\n\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/skinnedMesh/main.ts b/sample/skinnedMesh/main.ts index d68fcf0c..8203889e 100644 --- a/sample/skinnedMesh/main.ts +++ b/sample/skinnedMesh/main.ts @@ -2,7 +2,7 @@ import { GUI } from 'dat.gui'; import { convertGLBToJSONAndBinary, GLTFSkin } from './glbUtils'; import gltfWGSL from './gltf.wgsl'; import gridWGSL from './grid.wgsl'; -import { Mat4, mat4, Quat, vec3 } from 'wgpu-matrix'; +import { Mat4, mat4, quat, vec3 } from 'wgpu-matrix'; import { createBindGroupCluster } from '../bitonicSort/utils'; import { createSkinnedGridBuffers, @@ -29,6 +29,7 @@ enum SkinMode { OFF, } +/* // Copied from toji/gl-matrix const getRotation = (mat: Mat4): Quat => { // Initialize our output quaternion @@ -89,6 +90,7 @@ const getRotation = (mat: Mat4): Quat => { return out; }; +*/ //Normal setup const canvas = document.querySelector('canvas') as HTMLCanvasElement; @@ -301,9 +303,9 @@ const orthographicProjection = mat4.ortho(-20, 20, -10, 10, -100, 100); function getProjectionMatrix() { if (settings.object !== 'Skinned Grid') { - return perspectiveProjection as Float32Array; + return perspectiveProjection; } - return orthographicProjection as Float32Array; + return orthographicProjection; } function getViewMatrix() { @@ -325,7 +327,7 @@ function getViewMatrix() { viewMatrix ); } - return viewMatrix as Float32Array; + return viewMatrix; } function getModelMatrix() { @@ -339,7 +341,7 @@ function getModelMatrix() { if (settings.object === 'Whale') { mat4.rotateY(modelMatrix, (Date.now() / 1000) * 0.5, modelMatrix); } - return modelMatrix as Float32Array; + return modelMatrix; } // Pass Descriptor for GLTFs @@ -417,7 +419,7 @@ for (let i = 0; i < gridBoneCollection.bindPosesInv.length; i++) { device.queue.writeBuffer( skinnedGridInverseBindUniformBuffer, i * 64, - gridBoneCollection.bindPosesInv[i] as Float32Array + gridBoneCollection.bindPosesInv[i] ); } @@ -447,7 +449,7 @@ const animWhaleSkin = (skin: GLTFSkin, angle: number) => { // (these nodes, of course, each being nodes that represent joints/bones) whaleScene.nodes[joint].source.position = mat4.getTranslation(m); whaleScene.nodes[joint].source.scale = mat4.getScaling(m); - whaleScene.nodes[joint].source.rotation = getRotation(m); + whaleScene.nodes[joint].source.rotation = quat.fromMat(m); } }; @@ -493,7 +495,7 @@ function frame() { device.queue.writeBuffer( skinnedGridJointUniformBuffer, i * 64, - gridBoneCollection.transforms[i] as Float32Array + gridBoneCollection.transforms[i] ); } diff --git a/sample/textRenderingMsdf/main.js b/sample/textRenderingMsdf/main.js index d10e30e1..35fe803c 100644 --- a/sample/textRenderingMsdf/main.js +++ b/sample/textRenderingMsdf/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Generates am typed API for Vec3 */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); } - return dst; + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +744,4747 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} /** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; } - return copy$3(a, dst); + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. - * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. + * Vec4 math functions. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); const cubeVertexSize = 4 * 10; // Byte size of one cube vertex. const cubePositionOffset = 0; @@ -2709,7 +5669,7 @@ class MsdfText { this.measurements = measurements; this.font = font; this.textBuffer = textBuffer; - mat4Impl.identity(this.bufferArray); + mat4.identity(this.bufferArray); this.setColor(1, 1, 1, 1); this.setPixelScale(1 / 512); this.bufferArrayDirty = true; @@ -2722,7 +5682,7 @@ class MsdfText { return this.renderBundle; } setTransform(matrix) { - mat4Impl.copy(matrix, this.bufferArray); + mat4.copy(matrix, this.bufferArray); this.bufferArrayDirty = true; } setColor(r, g, b, a = 1.0) { @@ -3086,17 +6046,17 @@ context.configure({ const textRenderer = new MsdfTextRenderer(device, presentationFormat, depthFormat); const font = await textRenderer.createFont(new URL('../../assets/font/ya-hei-ascii-msdf.json', import.meta.url).toString()); function getTextTransform(position, rotation) { - const textTransform = mat4Impl.create(); - mat4Impl.identity(textTransform); - mat4Impl.translate(textTransform, position, textTransform); + const textTransform = mat4.create(); + mat4.identity(textTransform); + mat4.translate(textTransform, position, textTransform); if (rotation && rotation[0] != 0) { - mat4Impl.rotateX(textTransform, rotation[0], textTransform); + mat4.rotateX(textTransform, rotation[0], textTransform); } if (rotation && rotation[1] != 0) { - mat4Impl.rotateY(textTransform, rotation[1], textTransform); + mat4.rotateY(textTransform, rotation[1], textTransform); } if (rotation && rotation[2] != 0) { - mat4Impl.rotateZ(textTransform, rotation[2], textTransform); + mat4.rotateZ(textTransform, rotation[2], textTransform); } return textTransform; } @@ -3271,34 +6231,34 @@ const renderPassDescriptor = { }, }; const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); -const modelViewProjectionMatrix = mat4Impl.create(); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); +const modelViewProjectionMatrix = mat4.create(); const start = Date.now(); function getTransformationMatrix() { const now = Date.now() / 5000; - const viewMatrix = mat4Impl.identity(); - mat4Impl.translate(viewMatrix, vec3Impl.fromValues(0, 0, -5), viewMatrix); - const modelMatrix = mat4Impl.identity(); - mat4Impl.translate(modelMatrix, vec3Impl.fromValues(0, 2, -3), modelMatrix); - mat4Impl.rotate(modelMatrix, vec3Impl.fromValues(Math.sin(now), Math.cos(now), 0), 1, modelMatrix); + const viewMatrix = mat4.identity(); + mat4.translate(viewMatrix, vec3.fromValues(0, 0, -5), viewMatrix); + const modelMatrix = mat4.identity(); + mat4.translate(modelMatrix, vec3.fromValues(0, 2, -3), modelMatrix); + mat4.rotate(modelMatrix, vec3.fromValues(Math.sin(now), Math.cos(now), 0), 1, modelMatrix); // Update the matrix for the cube - mat4Impl.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); - mat4Impl.multiply(modelViewProjectionMatrix, modelMatrix, modelViewProjectionMatrix); + mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); + mat4.multiply(modelViewProjectionMatrix, modelMatrix, modelViewProjectionMatrix); // Update the projection and view matrices for the text textRenderer.updateCamera(projectionMatrix, viewMatrix); // Update the transform of all the text surrounding the cube - const textMatrix = mat4Impl.create(); + const textMatrix = mat4.create(); for (const [index, transform] of textTransforms.entries()) { - mat4Impl.multiply(modelMatrix, transform, textMatrix); + mat4.multiply(modelMatrix, transform, textMatrix); text[index].setTransform(textMatrix); } // Update the transform of the larger block of text const crawl = ((Date.now() - start) / 2500) % 14; - mat4Impl.identity(textMatrix); - mat4Impl.rotateX(textMatrix, -Math.PI / 8, textMatrix); - mat4Impl.translate(textMatrix, [0, crawl - 3, 0], textMatrix); + mat4.identity(textMatrix); + mat4.rotateX(textMatrix, -Math.PI / 8, textMatrix); + mat4.translate(textMatrix, [0, crawl - 3, 0], textMatrix); titleText.setTransform(textMatrix); - mat4Impl.translate(textMatrix, [-3, -0.1, 0], textMatrix); + mat4.translate(textMatrix, [-3, -0.1, 0], textMatrix); largeText.setTransform(textMatrix); return modelViewProjectionMatrix; } diff --git a/sample/textRenderingMsdf/main.js.map b/sample/textRenderingMsdf/main.js.map index c3d0be75..9820b8b9 100644 --- a/sample/textRenderingMsdf/main.js.map +++ b/sample/textRenderingMsdf/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/textRenderingMsdf/msdfText.ts","../../../../../sample/textRenderingMsdf/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4 } from 'wgpu-matrix';\n\nimport msdfTextWGSL from './msdfText.wgsl';\n\ntype Mat4 = mat4.default;\n\n// The kerning map stores a spare map of character ID pairs with an associated\n// X offset that should be applied to the character spacing when the second\n// character ID is rendered after the first.\ntype KerningMap = Map>;\n\ninterface MsdfChar {\n id: number;\n index: number;\n char: string;\n width: number;\n height: number;\n xoffset: number;\n yofsset: number;\n xadvance: number;\n chnl: number;\n x: number;\n y: number;\n page: number;\n charIndex: number;\n}\n\nexport class MsdfFont {\n charCount: number;\n defaultChar: MsdfChar;\n constructor(\n public pipeline: GPURenderPipeline,\n public bindGroup: GPUBindGroup,\n public lineHeight: number,\n public chars: { [x: number]: MsdfChar },\n public kernings: KerningMap\n ) {\n const charArray = Object.values(chars);\n this.charCount = charArray.length;\n this.defaultChar = charArray[0];\n }\n\n getChar(charCode: number): MsdfChar {\n let char = this.chars[charCode];\n if (!char) {\n char = this.defaultChar;\n }\n return char;\n }\n\n // Gets the distance in pixels a line should advance for a given character code. If the upcoming\n // character code is given any kerning between the two characters will be taken into account.\n getXAdvance(charCode: number, nextCharCode: number = -1): number {\n const char = this.getChar(charCode);\n if (nextCharCode >= 0) {\n const kerning = this.kernings.get(charCode);\n if (kerning) {\n return char.xadvance + (kerning.get(nextCharCode) ?? 0);\n }\n }\n return char.xadvance;\n }\n}\n\nexport interface MsdfTextMeasurements {\n width: number;\n height: number;\n lineWidths: number[];\n printedCharCount: number;\n}\n\nexport class MsdfText {\n private bufferArray = new Float32Array(24);\n private bufferArrayDirty = true;\n\n constructor(\n public device: GPUDevice,\n private renderBundle: GPURenderBundle,\n public measurements: MsdfTextMeasurements,\n public font: MsdfFont,\n public textBuffer: GPUBuffer\n ) {\n mat4.identity(this.bufferArray);\n this.setColor(1, 1, 1, 1);\n this.setPixelScale(1 / 512);\n this.bufferArrayDirty = true;\n }\n\n getRenderBundle() {\n if (this.bufferArrayDirty) {\n this.bufferArrayDirty = false;\n this.device.queue.writeBuffer(\n this.textBuffer,\n 0,\n this.bufferArray,\n 0,\n this.bufferArray.length\n );\n }\n return this.renderBundle;\n }\n\n setTransform(matrix: Mat4) {\n mat4.copy(matrix, this.bufferArray);\n this.bufferArrayDirty = true;\n }\n\n setColor(r: number, g: number, b: number, a: number = 1.0) {\n this.bufferArray[16] = r;\n this.bufferArray[17] = g;\n this.bufferArray[18] = b;\n this.bufferArray[19] = a;\n this.bufferArrayDirty = true;\n }\n\n setPixelScale(pixelScale: number) {\n this.bufferArray[20] = pixelScale;\n this.bufferArrayDirty = true;\n }\n}\n\nexport interface MsdfTextFormattingOptions {\n centered?: boolean;\n pixelScale?: number;\n color?: [number, number, number, number];\n}\n\nexport class MsdfTextRenderer {\n fontBindGroupLayout: GPUBindGroupLayout;\n textBindGroupLayout: GPUBindGroupLayout;\n pipelinePromise: Promise;\n sampler: GPUSampler;\n cameraUniformBuffer: GPUBuffer;\n\n renderBundleDescriptor: GPURenderBundleEncoderDescriptor;\n cameraArray: Float32Array = new Float32Array(16 * 2);\n\n constructor(\n public device: GPUDevice,\n colorFormat: GPUTextureFormat,\n depthFormat: GPUTextureFormat\n ) {\n this.renderBundleDescriptor = {\n colorFormats: [colorFormat],\n depthStencilFormat: depthFormat,\n };\n\n this.sampler = device.createSampler({\n label: 'MSDF text sampler',\n minFilter: 'linear',\n magFilter: 'linear',\n mipmapFilter: 'linear',\n maxAnisotropy: 16,\n });\n\n this.cameraUniformBuffer = device.createBuffer({\n label: 'MSDF camera uniform buffer',\n size: this.cameraArray.byteLength,\n usage: GPUBufferUsage.COPY_DST | GPUBufferUsage.UNIFORM,\n });\n\n this.fontBindGroupLayout = device.createBindGroupLayout({\n label: 'MSDF font group layout',\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {},\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n sampler: {},\n },\n {\n binding: 2,\n visibility: GPUShaderStage.VERTEX,\n buffer: { type: 'read-only-storage' },\n },\n ],\n });\n\n this.textBindGroupLayout = device.createBindGroupLayout({\n label: 'MSDF text group layout',\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX,\n buffer: {},\n },\n {\n binding: 1,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n buffer: { type: 'read-only-storage' },\n },\n ],\n });\n\n const shaderModule = device.createShaderModule({\n label: 'MSDF text shader',\n code: msdfTextWGSL,\n });\n\n this.pipelinePromise = device.createRenderPipelineAsync({\n label: `msdf text pipeline`,\n layout: device.createPipelineLayout({\n bindGroupLayouts: [this.fontBindGroupLayout, this.textBindGroupLayout],\n }),\n vertex: {\n module: shaderModule,\n entryPoint: 'vertexMain',\n },\n fragment: {\n module: shaderModule,\n entryPoint: 'fragmentMain',\n targets: [\n {\n format: colorFormat,\n blend: {\n color: {\n srcFactor: 'src-alpha',\n dstFactor: 'one-minus-src-alpha',\n },\n alpha: {\n srcFactor: 'one',\n dstFactor: 'one',\n },\n },\n },\n ],\n },\n primitive: {\n topology: 'triangle-strip',\n stripIndexFormat: 'uint32',\n },\n depthStencil: {\n depthWriteEnabled: false,\n depthCompare: 'less',\n format: depthFormat,\n },\n });\n }\n\n async loadTexture(url: string) {\n const response = await fetch(url);\n const imageBitmap = await createImageBitmap(await response.blob());\n\n const texture = this.device.createTexture({\n label: `MSDF font texture ${url}`,\n size: [imageBitmap.width, imageBitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n this.device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture },\n [imageBitmap.width, imageBitmap.height]\n );\n return texture;\n }\n\n async createFont(fontJsonUrl: string): Promise {\n const response = await fetch(fontJsonUrl);\n const json = await response.json();\n\n const i = fontJsonUrl.lastIndexOf('/');\n const baseUrl = i !== -1 ? fontJsonUrl.substring(0, i + 1) : undefined;\n\n const pagePromises = [];\n for (const pageUrl of json.pages) {\n pagePromises.push(this.loadTexture(baseUrl + pageUrl));\n }\n\n const charCount = json.chars.length;\n const charsBuffer = this.device.createBuffer({\n label: 'MSDF character layout buffer',\n size: charCount * Float32Array.BYTES_PER_ELEMENT * 8,\n usage: GPUBufferUsage.STORAGE,\n mappedAtCreation: true,\n });\n\n const charsArray = new Float32Array(charsBuffer.getMappedRange());\n\n const u = 1 / json.common.scaleW;\n const v = 1 / json.common.scaleH;\n\n const chars: { [x: number]: MsdfChar } = {};\n\n let offset = 0;\n for (const [i, char] of json.chars.entries()) {\n chars[char.id] = char;\n chars[char.id].charIndex = i;\n charsArray[offset] = char.x * u; // texOffset.x\n charsArray[offset + 1] = char.y * v; // texOffset.y\n charsArray[offset + 2] = char.width * u; // texExtent.x\n charsArray[offset + 3] = char.height * v; // texExtent.y\n charsArray[offset + 4] = char.width; // size.x\n charsArray[offset + 5] = char.height; // size.y\n charsArray[offset + 6] = char.xoffset; // offset.x\n charsArray[offset + 7] = -char.yoffset; // offset.y\n offset += 8;\n }\n\n charsBuffer.unmap();\n\n const pageTextures = await Promise.all(pagePromises);\n\n const bindGroup = this.device.createBindGroup({\n label: 'msdf font bind group',\n layout: this.fontBindGroupLayout,\n entries: [\n {\n binding: 0,\n // TODO: Allow multi-page fonts\n resource: pageTextures[0].createView(),\n },\n {\n binding: 1,\n resource: this.sampler,\n },\n {\n binding: 2,\n resource: { buffer: charsBuffer },\n },\n ],\n });\n\n const kernings = new Map();\n\n if (json.kernings) {\n for (const kearning of json.kernings) {\n let charKerning = kernings.get(kearning.first);\n if (!charKerning) {\n charKerning = new Map();\n kernings.set(kearning.first, charKerning);\n }\n charKerning.set(kearning.second, kearning.amount);\n }\n }\n\n return new MsdfFont(\n await this.pipelinePromise,\n bindGroup,\n json.common.lineHeight,\n chars,\n kernings\n );\n }\n\n formatText(\n font: MsdfFont,\n text: string,\n options: MsdfTextFormattingOptions = {}\n ): MsdfText {\n const textBuffer = this.device.createBuffer({\n label: 'msdf text buffer',\n size: (text.length + 6) * Float32Array.BYTES_PER_ELEMENT * 4,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n mappedAtCreation: true,\n });\n\n const textArray = new Float32Array(textBuffer.getMappedRange());\n let offset = 24; // Accounts for the values managed by MsdfText internally.\n\n let measurements: MsdfTextMeasurements;\n if (options.centered) {\n measurements = this.measureText(font, text);\n\n this.measureText(\n font,\n text,\n (textX: number, textY: number, line: number, char: MsdfChar) => {\n const lineOffset =\n measurements.width * -0.5 -\n (measurements.width - measurements.lineWidths[line]) * -0.5;\n\n textArray[offset] = textX + lineOffset;\n textArray[offset + 1] = textY + measurements.height * 0.5;\n textArray[offset + 2] = char.charIndex;\n offset += 4;\n }\n );\n } else {\n measurements = this.measureText(\n font,\n text,\n (textX: number, textY: number, line: number, char: MsdfChar) => {\n textArray[offset] = textX;\n textArray[offset + 1] = textY;\n textArray[offset + 2] = char.charIndex;\n offset += 4;\n }\n );\n }\n\n textBuffer.unmap();\n\n const bindGroup = this.device.createBindGroup({\n label: 'msdf text bind group',\n layout: this.textBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: { buffer: this.cameraUniformBuffer },\n },\n {\n binding: 1,\n resource: { buffer: textBuffer },\n },\n ],\n });\n\n const encoder = this.device.createRenderBundleEncoder(\n this.renderBundleDescriptor\n );\n encoder.setPipeline(font.pipeline);\n encoder.setBindGroup(0, font.bindGroup);\n encoder.setBindGroup(1, bindGroup);\n encoder.draw(4, measurements.printedCharCount);\n const renderBundle = encoder.finish();\n\n const msdfText = new MsdfText(\n this.device,\n renderBundle,\n measurements,\n font,\n textBuffer\n );\n if (options.pixelScale !== undefined) {\n msdfText.setPixelScale(options.pixelScale);\n }\n\n if (options.color !== undefined) {\n msdfText.setColor(...options.color);\n }\n\n return msdfText;\n }\n\n measureText(\n font: MsdfFont,\n text: string,\n charCallback?: (x: number, y: number, line: number, char: MsdfChar) => void\n ): MsdfTextMeasurements {\n let maxWidth = 0;\n const lineWidths: number[] = [];\n\n let textOffsetX = 0;\n let textOffsetY = 0;\n let line = 0;\n let printedCharCount = 0;\n let nextCharCode = text.charCodeAt(0);\n for (let i = 0; i < text.length; ++i) {\n const charCode = nextCharCode;\n nextCharCode = i < text.length - 1 ? text.charCodeAt(i + 1) : -1;\n\n switch (charCode) {\n case 10: // Newline\n lineWidths.push(textOffsetX);\n line++;\n maxWidth = Math.max(maxWidth, textOffsetX);\n textOffsetX = 0;\n textOffsetY -= font.lineHeight;\n case 13: // CR\n break;\n case 32: // Space\n // For spaces, advance the offset without actually adding a character.\n textOffsetX += font.getXAdvance(charCode);\n break;\n default: {\n if (charCallback) {\n charCallback(\n textOffsetX,\n textOffsetY,\n line,\n font.getChar(charCode)\n );\n }\n textOffsetX += font.getXAdvance(charCode, nextCharCode);\n printedCharCount++;\n }\n }\n }\n\n lineWidths.push(textOffsetX);\n maxWidth = Math.max(maxWidth, textOffsetX);\n\n return {\n width: maxWidth,\n height: lineWidths.length * font.lineHeight,\n lineWidths,\n printedCharCount,\n };\n }\n\n updateCamera(projection: Mat4, view: Mat4) {\n this.cameraArray.set(projection, 0);\n this.cameraArray.set(view, 16);\n this.device.queue.writeBuffer(\n this.cameraUniformBuffer,\n 0,\n this.cameraArray\n );\n }\n\n render(renderPass: GPURenderPassEncoder, ...text: MsdfText[]) {\n const renderBundles = text.map((t) => t.getRenderBundle());\n renderPass.executeBundles(renderBundles);\n }\n}\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\nimport { MsdfTextRenderer } from './msdfText';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio || 1;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\nconst depthFormat = 'depth24plus';\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst textRenderer = new MsdfTextRenderer(\n device,\n presentationFormat,\n depthFormat\n);\nconst font = await textRenderer.createFont(\n new URL(\n '../../assets/font/ya-hei-ascii-msdf.json',\n import.meta.url\n ).toString()\n);\n\nfunction getTextTransform(\n position: [number, number, number],\n rotation?: [number, number, number]\n) {\n const textTransform = mat4.create();\n mat4.identity(textTransform);\n mat4.translate(textTransform, position, textTransform);\n if (rotation && rotation[0] != 0) {\n mat4.rotateX(textTransform, rotation[0], textTransform);\n }\n if (rotation && rotation[1] != 0) {\n mat4.rotateY(textTransform, rotation[1], textTransform);\n }\n if (rotation && rotation[2] != 0) {\n mat4.rotateZ(textTransform, rotation[2], textTransform);\n }\n return textTransform;\n}\n\nconst textTransforms = [\n getTextTransform([0, 0, 1.1]),\n getTextTransform([0, 0, -1.1], [0, Math.PI, 0]),\n getTextTransform([1.1, 0, 0], [0, Math.PI / 2, 0]),\n getTextTransform([-1.1, 0, 0], [0, -Math.PI / 2, 0]),\n getTextTransform([0, 1.1, 0], [-Math.PI / 2, 0, 0]),\n getTextTransform([0, -1.1, 0], [Math.PI / 2, 0, 0]),\n];\n\nconst titleText = textRenderer.formatText(font, `WebGPU`, {\n centered: true,\n pixelScale: 1 / 128,\n});\nconst largeText = textRenderer.formatText(\n font,\n `\nWebGPU exposes an API for performing operations, such as rendering\nand computation, on a Graphics Processing Unit.\n\nGraphics Processing Units, or GPUs for short, have been essential\nin enabling rich rendering and computational applications in personal\ncomputing. WebGPU is an API that exposes the capabilities of GPU\nhardware for the Web. The API is designed from the ground up to\nefficiently map to (post-2014) native GPU APIs. WebGPU is not related\nto WebGL and does not explicitly target OpenGL ES.\n\nWebGPU sees physical GPU hardware as GPUAdapters. It provides a\nconnection to an adapter via GPUDevice, which manages resources, and\nthe device’s GPUQueues, which execute commands. GPUDevice may have\nits own memory with high-speed access to the processing units.\nGPUBuffer and GPUTexture are the physical resources backed by GPU\nmemory. GPUCommandBuffer and GPURenderBundle are containers for\nuser-recorded commands. GPUShaderModule contains shader code. The\nother resources, such as GPUSampler or GPUBindGroup, configure the\nway physical resources are used by the GPU.\n\nGPUs execute commands encoded in GPUCommandBuffers by feeding data\nthrough a pipeline, which is a mix of fixed-function and programmable\nstages. Programmable stages execute shaders, which are special\nprograms designed to run on GPU hardware. Most of the state of a\npipeline is defined by a GPURenderPipeline or a GPUComputePipeline\nobject. The state not included in these pipeline objects is set\nduring encoding with commands, such as beginRenderPass() or\nsetBlendConstant().`,\n { pixelScale: 1 / 256 }\n);\n\nconst text = [\n textRenderer.formatText(font, 'Front', {\n centered: true,\n pixelScale: 1 / 128,\n color: [1, 0, 0, 1],\n }),\n textRenderer.formatText(font, 'Back', {\n centered: true,\n pixelScale: 1 / 128,\n color: [0, 1, 1, 1],\n }),\n textRenderer.formatText(font, 'Right', {\n centered: true,\n pixelScale: 1 / 128,\n color: [0, 1, 0, 1],\n }),\n textRenderer.formatText(font, 'Left', {\n centered: true,\n pixelScale: 1 / 128,\n color: [1, 0, 1, 1],\n }),\n textRenderer.formatText(font, 'Top', {\n centered: true,\n pixelScale: 1 / 128,\n color: [0, 0, 1, 1],\n }),\n textRenderer.formatText(font, 'Bottom', {\n centered: true,\n pixelScale: 1 / 128,\n color: [1, 1, 0, 1],\n }),\n\n titleText,\n largeText,\n];\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthFormat,\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: depthFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nconst start = Date.now();\nfunction getTransformationMatrix() {\n const now = Date.now() / 5000;\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -5), viewMatrix);\n\n const modelMatrix = mat4.identity();\n mat4.translate(modelMatrix, vec3.fromValues(0, 2, -3), modelMatrix);\n mat4.rotate(\n modelMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n modelMatrix\n );\n\n // Update the matrix for the cube\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n mat4.multiply(\n modelViewProjectionMatrix,\n modelMatrix,\n modelViewProjectionMatrix\n );\n\n // Update the projection and view matrices for the text\n textRenderer.updateCamera(projectionMatrix, viewMatrix);\n\n // Update the transform of all the text surrounding the cube\n const textMatrix = mat4.create();\n for (const [index, transform] of textTransforms.entries()) {\n mat4.multiply(modelMatrix, transform, textMatrix);\n text[index].setTransform(textMatrix);\n }\n\n // Update the transform of the larger block of text\n const crawl = ((Date.now() - start) / 2500) % 14;\n mat4.identity(textMatrix);\n mat4.rotateX(textMatrix, -Math.PI / 8, textMatrix);\n mat4.translate(textMatrix, [0, crawl - 3, 0], textMatrix);\n titleText.setTransform(textMatrix);\n mat4.translate(textMatrix, [-3, -0.1, 0], textMatrix);\n largeText.setTransform(textMatrix);\n\n return modelViewProjectionMatrix as Float32Array;\n}\n\nfunction frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/textRenderingMsdf/msdfText.ts","../../../../../sample/textRenderingMsdf/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, Mat4 } from 'wgpu-matrix';\n\nimport msdfTextWGSL from './msdfText.wgsl';\n\n// The kerning map stores a spare map of character ID pairs with an associated\n// X offset that should be applied to the character spacing when the second\n// character ID is rendered after the first.\ntype KerningMap = Map>;\n\ninterface MsdfChar {\n id: number;\n index: number;\n char: string;\n width: number;\n height: number;\n xoffset: number;\n yofsset: number;\n xadvance: number;\n chnl: number;\n x: number;\n y: number;\n page: number;\n charIndex: number;\n}\n\nexport class MsdfFont {\n charCount: number;\n defaultChar: MsdfChar;\n constructor(\n public pipeline: GPURenderPipeline,\n public bindGroup: GPUBindGroup,\n public lineHeight: number,\n public chars: { [x: number]: MsdfChar },\n public kernings: KerningMap\n ) {\n const charArray = Object.values(chars);\n this.charCount = charArray.length;\n this.defaultChar = charArray[0];\n }\n\n getChar(charCode: number): MsdfChar {\n let char = this.chars[charCode];\n if (!char) {\n char = this.defaultChar;\n }\n return char;\n }\n\n // Gets the distance in pixels a line should advance for a given character code. If the upcoming\n // character code is given any kerning between the two characters will be taken into account.\n getXAdvance(charCode: number, nextCharCode: number = -1): number {\n const char = this.getChar(charCode);\n if (nextCharCode >= 0) {\n const kerning = this.kernings.get(charCode);\n if (kerning) {\n return char.xadvance + (kerning.get(nextCharCode) ?? 0);\n }\n }\n return char.xadvance;\n }\n}\n\nexport interface MsdfTextMeasurements {\n width: number;\n height: number;\n lineWidths: number[];\n printedCharCount: number;\n}\n\nexport class MsdfText {\n private bufferArray = new Float32Array(24);\n private bufferArrayDirty = true;\n\n constructor(\n public device: GPUDevice,\n private renderBundle: GPURenderBundle,\n public measurements: MsdfTextMeasurements,\n public font: MsdfFont,\n public textBuffer: GPUBuffer\n ) {\n mat4.identity(this.bufferArray);\n this.setColor(1, 1, 1, 1);\n this.setPixelScale(1 / 512);\n this.bufferArrayDirty = true;\n }\n\n getRenderBundle() {\n if (this.bufferArrayDirty) {\n this.bufferArrayDirty = false;\n this.device.queue.writeBuffer(\n this.textBuffer,\n 0,\n this.bufferArray,\n 0,\n this.bufferArray.length\n );\n }\n return this.renderBundle;\n }\n\n setTransform(matrix: Mat4) {\n mat4.copy(matrix, this.bufferArray);\n this.bufferArrayDirty = true;\n }\n\n setColor(r: number, g: number, b: number, a: number = 1.0) {\n this.bufferArray[16] = r;\n this.bufferArray[17] = g;\n this.bufferArray[18] = b;\n this.bufferArray[19] = a;\n this.bufferArrayDirty = true;\n }\n\n setPixelScale(pixelScale: number) {\n this.bufferArray[20] = pixelScale;\n this.bufferArrayDirty = true;\n }\n}\n\nexport interface MsdfTextFormattingOptions {\n centered?: boolean;\n pixelScale?: number;\n color?: [number, number, number, number];\n}\n\nexport class MsdfTextRenderer {\n fontBindGroupLayout: GPUBindGroupLayout;\n textBindGroupLayout: GPUBindGroupLayout;\n pipelinePromise: Promise;\n sampler: GPUSampler;\n cameraUniformBuffer: GPUBuffer;\n\n renderBundleDescriptor: GPURenderBundleEncoderDescriptor;\n cameraArray: Float32Array = new Float32Array(16 * 2);\n\n constructor(\n public device: GPUDevice,\n colorFormat: GPUTextureFormat,\n depthFormat: GPUTextureFormat\n ) {\n this.renderBundleDescriptor = {\n colorFormats: [colorFormat],\n depthStencilFormat: depthFormat,\n };\n\n this.sampler = device.createSampler({\n label: 'MSDF text sampler',\n minFilter: 'linear',\n magFilter: 'linear',\n mipmapFilter: 'linear',\n maxAnisotropy: 16,\n });\n\n this.cameraUniformBuffer = device.createBuffer({\n label: 'MSDF camera uniform buffer',\n size: this.cameraArray.byteLength,\n usage: GPUBufferUsage.COPY_DST | GPUBufferUsage.UNIFORM,\n });\n\n this.fontBindGroupLayout = device.createBindGroupLayout({\n label: 'MSDF font group layout',\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.FRAGMENT,\n texture: {},\n },\n {\n binding: 1,\n visibility: GPUShaderStage.FRAGMENT,\n sampler: {},\n },\n {\n binding: 2,\n visibility: GPUShaderStage.VERTEX,\n buffer: { type: 'read-only-storage' },\n },\n ],\n });\n\n this.textBindGroupLayout = device.createBindGroupLayout({\n label: 'MSDF text group layout',\n entries: [\n {\n binding: 0,\n visibility: GPUShaderStage.VERTEX,\n buffer: {},\n },\n {\n binding: 1,\n visibility: GPUShaderStage.VERTEX | GPUShaderStage.FRAGMENT,\n buffer: { type: 'read-only-storage' },\n },\n ],\n });\n\n const shaderModule = device.createShaderModule({\n label: 'MSDF text shader',\n code: msdfTextWGSL,\n });\n\n this.pipelinePromise = device.createRenderPipelineAsync({\n label: `msdf text pipeline`,\n layout: device.createPipelineLayout({\n bindGroupLayouts: [this.fontBindGroupLayout, this.textBindGroupLayout],\n }),\n vertex: {\n module: shaderModule,\n entryPoint: 'vertexMain',\n },\n fragment: {\n module: shaderModule,\n entryPoint: 'fragmentMain',\n targets: [\n {\n format: colorFormat,\n blend: {\n color: {\n srcFactor: 'src-alpha',\n dstFactor: 'one-minus-src-alpha',\n },\n alpha: {\n srcFactor: 'one',\n dstFactor: 'one',\n },\n },\n },\n ],\n },\n primitive: {\n topology: 'triangle-strip',\n stripIndexFormat: 'uint32',\n },\n depthStencil: {\n depthWriteEnabled: false,\n depthCompare: 'less',\n format: depthFormat,\n },\n });\n }\n\n async loadTexture(url: string) {\n const response = await fetch(url);\n const imageBitmap = await createImageBitmap(await response.blob());\n\n const texture = this.device.createTexture({\n label: `MSDF font texture ${url}`,\n size: [imageBitmap.width, imageBitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n this.device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture },\n [imageBitmap.width, imageBitmap.height]\n );\n return texture;\n }\n\n async createFont(fontJsonUrl: string): Promise {\n const response = await fetch(fontJsonUrl);\n const json = await response.json();\n\n const i = fontJsonUrl.lastIndexOf('/');\n const baseUrl = i !== -1 ? fontJsonUrl.substring(0, i + 1) : undefined;\n\n const pagePromises = [];\n for (const pageUrl of json.pages) {\n pagePromises.push(this.loadTexture(baseUrl + pageUrl));\n }\n\n const charCount = json.chars.length;\n const charsBuffer = this.device.createBuffer({\n label: 'MSDF character layout buffer',\n size: charCount * Float32Array.BYTES_PER_ELEMENT * 8,\n usage: GPUBufferUsage.STORAGE,\n mappedAtCreation: true,\n });\n\n const charsArray = new Float32Array(charsBuffer.getMappedRange());\n\n const u = 1 / json.common.scaleW;\n const v = 1 / json.common.scaleH;\n\n const chars: { [x: number]: MsdfChar } = {};\n\n let offset = 0;\n for (const [i, char] of json.chars.entries()) {\n chars[char.id] = char;\n chars[char.id].charIndex = i;\n charsArray[offset] = char.x * u; // texOffset.x\n charsArray[offset + 1] = char.y * v; // texOffset.y\n charsArray[offset + 2] = char.width * u; // texExtent.x\n charsArray[offset + 3] = char.height * v; // texExtent.y\n charsArray[offset + 4] = char.width; // size.x\n charsArray[offset + 5] = char.height; // size.y\n charsArray[offset + 6] = char.xoffset; // offset.x\n charsArray[offset + 7] = -char.yoffset; // offset.y\n offset += 8;\n }\n\n charsBuffer.unmap();\n\n const pageTextures = await Promise.all(pagePromises);\n\n const bindGroup = this.device.createBindGroup({\n label: 'msdf font bind group',\n layout: this.fontBindGroupLayout,\n entries: [\n {\n binding: 0,\n // TODO: Allow multi-page fonts\n resource: pageTextures[0].createView(),\n },\n {\n binding: 1,\n resource: this.sampler,\n },\n {\n binding: 2,\n resource: { buffer: charsBuffer },\n },\n ],\n });\n\n const kernings = new Map();\n\n if (json.kernings) {\n for (const kearning of json.kernings) {\n let charKerning = kernings.get(kearning.first);\n if (!charKerning) {\n charKerning = new Map();\n kernings.set(kearning.first, charKerning);\n }\n charKerning.set(kearning.second, kearning.amount);\n }\n }\n\n return new MsdfFont(\n await this.pipelinePromise,\n bindGroup,\n json.common.lineHeight,\n chars,\n kernings\n );\n }\n\n formatText(\n font: MsdfFont,\n text: string,\n options: MsdfTextFormattingOptions = {}\n ): MsdfText {\n const textBuffer = this.device.createBuffer({\n label: 'msdf text buffer',\n size: (text.length + 6) * Float32Array.BYTES_PER_ELEMENT * 4,\n usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_DST,\n mappedAtCreation: true,\n });\n\n const textArray = new Float32Array(textBuffer.getMappedRange());\n let offset = 24; // Accounts for the values managed by MsdfText internally.\n\n let measurements: MsdfTextMeasurements;\n if (options.centered) {\n measurements = this.measureText(font, text);\n\n this.measureText(\n font,\n text,\n (textX: number, textY: number, line: number, char: MsdfChar) => {\n const lineOffset =\n measurements.width * -0.5 -\n (measurements.width - measurements.lineWidths[line]) * -0.5;\n\n textArray[offset] = textX + lineOffset;\n textArray[offset + 1] = textY + measurements.height * 0.5;\n textArray[offset + 2] = char.charIndex;\n offset += 4;\n }\n );\n } else {\n measurements = this.measureText(\n font,\n text,\n (textX: number, textY: number, line: number, char: MsdfChar) => {\n textArray[offset] = textX;\n textArray[offset + 1] = textY;\n textArray[offset + 2] = char.charIndex;\n offset += 4;\n }\n );\n }\n\n textBuffer.unmap();\n\n const bindGroup = this.device.createBindGroup({\n label: 'msdf text bind group',\n layout: this.textBindGroupLayout,\n entries: [\n {\n binding: 0,\n resource: { buffer: this.cameraUniformBuffer },\n },\n {\n binding: 1,\n resource: { buffer: textBuffer },\n },\n ],\n });\n\n const encoder = this.device.createRenderBundleEncoder(\n this.renderBundleDescriptor\n );\n encoder.setPipeline(font.pipeline);\n encoder.setBindGroup(0, font.bindGroup);\n encoder.setBindGroup(1, bindGroup);\n encoder.draw(4, measurements.printedCharCount);\n const renderBundle = encoder.finish();\n\n const msdfText = new MsdfText(\n this.device,\n renderBundle,\n measurements,\n font,\n textBuffer\n );\n if (options.pixelScale !== undefined) {\n msdfText.setPixelScale(options.pixelScale);\n }\n\n if (options.color !== undefined) {\n msdfText.setColor(...options.color);\n }\n\n return msdfText;\n }\n\n measureText(\n font: MsdfFont,\n text: string,\n charCallback?: (x: number, y: number, line: number, char: MsdfChar) => void\n ): MsdfTextMeasurements {\n let maxWidth = 0;\n const lineWidths: number[] = [];\n\n let textOffsetX = 0;\n let textOffsetY = 0;\n let line = 0;\n let printedCharCount = 0;\n let nextCharCode = text.charCodeAt(0);\n for (let i = 0; i < text.length; ++i) {\n const charCode = nextCharCode;\n nextCharCode = i < text.length - 1 ? text.charCodeAt(i + 1) : -1;\n\n switch (charCode) {\n case 10: // Newline\n lineWidths.push(textOffsetX);\n line++;\n maxWidth = Math.max(maxWidth, textOffsetX);\n textOffsetX = 0;\n textOffsetY -= font.lineHeight;\n case 13: // CR\n break;\n case 32: // Space\n // For spaces, advance the offset without actually adding a character.\n textOffsetX += font.getXAdvance(charCode);\n break;\n default: {\n if (charCallback) {\n charCallback(\n textOffsetX,\n textOffsetY,\n line,\n font.getChar(charCode)\n );\n }\n textOffsetX += font.getXAdvance(charCode, nextCharCode);\n printedCharCount++;\n }\n }\n }\n\n lineWidths.push(textOffsetX);\n maxWidth = Math.max(maxWidth, textOffsetX);\n\n return {\n width: maxWidth,\n height: lineWidths.length * font.lineHeight,\n lineWidths,\n printedCharCount,\n };\n }\n\n updateCamera(projection: Mat4, view: Mat4) {\n this.cameraArray.set(projection, 0);\n this.cameraArray.set(view, 16);\n this.device.queue.writeBuffer(\n this.cameraUniformBuffer,\n 0,\n this.cameraArray\n );\n }\n\n render(renderPass: GPURenderPassEncoder, ...text: MsdfText[]) {\n const renderBundles = text.map((t) => t.getRenderBundle());\n renderPass.executeBundles(renderBundles);\n }\n}\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\nimport { MsdfTextRenderer } from './msdfText';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio || 1;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\nconst depthFormat = 'depth24plus';\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst textRenderer = new MsdfTextRenderer(\n device,\n presentationFormat,\n depthFormat\n);\nconst font = await textRenderer.createFont(\n new URL(\n '../../assets/font/ya-hei-ascii-msdf.json',\n import.meta.url\n ).toString()\n);\n\nfunction getTextTransform(\n position: [number, number, number],\n rotation?: [number, number, number]\n) {\n const textTransform = mat4.create();\n mat4.identity(textTransform);\n mat4.translate(textTransform, position, textTransform);\n if (rotation && rotation[0] != 0) {\n mat4.rotateX(textTransform, rotation[0], textTransform);\n }\n if (rotation && rotation[1] != 0) {\n mat4.rotateY(textTransform, rotation[1], textTransform);\n }\n if (rotation && rotation[2] != 0) {\n mat4.rotateZ(textTransform, rotation[2], textTransform);\n }\n return textTransform;\n}\n\nconst textTransforms = [\n getTextTransform([0, 0, 1.1]),\n getTextTransform([0, 0, -1.1], [0, Math.PI, 0]),\n getTextTransform([1.1, 0, 0], [0, Math.PI / 2, 0]),\n getTextTransform([-1.1, 0, 0], [0, -Math.PI / 2, 0]),\n getTextTransform([0, 1.1, 0], [-Math.PI / 2, 0, 0]),\n getTextTransform([0, -1.1, 0], [Math.PI / 2, 0, 0]),\n];\n\nconst titleText = textRenderer.formatText(font, `WebGPU`, {\n centered: true,\n pixelScale: 1 / 128,\n});\nconst largeText = textRenderer.formatText(\n font,\n `\nWebGPU exposes an API for performing operations, such as rendering\nand computation, on a Graphics Processing Unit.\n\nGraphics Processing Units, or GPUs for short, have been essential\nin enabling rich rendering and computational applications in personal\ncomputing. WebGPU is an API that exposes the capabilities of GPU\nhardware for the Web. The API is designed from the ground up to\nefficiently map to (post-2014) native GPU APIs. WebGPU is not related\nto WebGL and does not explicitly target OpenGL ES.\n\nWebGPU sees physical GPU hardware as GPUAdapters. It provides a\nconnection to an adapter via GPUDevice, which manages resources, and\nthe device’s GPUQueues, which execute commands. GPUDevice may have\nits own memory with high-speed access to the processing units.\nGPUBuffer and GPUTexture are the physical resources backed by GPU\nmemory. GPUCommandBuffer and GPURenderBundle are containers for\nuser-recorded commands. GPUShaderModule contains shader code. The\nother resources, such as GPUSampler or GPUBindGroup, configure the\nway physical resources are used by the GPU.\n\nGPUs execute commands encoded in GPUCommandBuffers by feeding data\nthrough a pipeline, which is a mix of fixed-function and programmable\nstages. Programmable stages execute shaders, which are special\nprograms designed to run on GPU hardware. Most of the state of a\npipeline is defined by a GPURenderPipeline or a GPUComputePipeline\nobject. The state not included in these pipeline objects is set\nduring encoding with commands, such as beginRenderPass() or\nsetBlendConstant().`,\n { pixelScale: 1 / 256 }\n);\n\nconst text = [\n textRenderer.formatText(font, 'Front', {\n centered: true,\n pixelScale: 1 / 128,\n color: [1, 0, 0, 1],\n }),\n textRenderer.formatText(font, 'Back', {\n centered: true,\n pixelScale: 1 / 128,\n color: [0, 1, 1, 1],\n }),\n textRenderer.formatText(font, 'Right', {\n centered: true,\n pixelScale: 1 / 128,\n color: [0, 1, 0, 1],\n }),\n textRenderer.formatText(font, 'Left', {\n centered: true,\n pixelScale: 1 / 128,\n color: [1, 0, 1, 1],\n }),\n textRenderer.formatText(font, 'Top', {\n centered: true,\n pixelScale: 1 / 128,\n color: [0, 0, 1, 1],\n }),\n textRenderer.formatText(font, 'Bottom', {\n centered: true,\n pixelScale: 1 / 128,\n color: [1, 1, 0, 1],\n }),\n\n titleText,\n largeText,\n];\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: depthFormat,\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: depthFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0, 0, 0, 1],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nconst start = Date.now();\nfunction getTransformationMatrix() {\n const now = Date.now() / 5000;\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -5), viewMatrix);\n\n const modelMatrix = mat4.identity();\n mat4.translate(modelMatrix, vec3.fromValues(0, 2, -3), modelMatrix);\n mat4.rotate(\n modelMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n modelMatrix\n );\n\n // Update the matrix for the cube\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n mat4.multiply(\n modelViewProjectionMatrix,\n modelMatrix,\n modelViewProjectionMatrix\n );\n\n // Update the projection and view matrices for the text\n textRenderer.updateCamera(projectionMatrix, viewMatrix);\n\n // Update the transform of all the text surrounding the cube\n const textMatrix = mat4.create();\n for (const [index, transform] of textTransforms.entries()) {\n mat4.multiply(modelMatrix, transform, textMatrix);\n text[index].setTransform(textMatrix);\n }\n\n // Update the transform of the larger block of text\n const crawl = ((Date.now() - start) / 2500) % 14;\n mat4.identity(textMatrix);\n mat4.rotateX(textMatrix, -Math.PI / 8, textMatrix);\n mat4.translate(textMatrix, [0, crawl - 3, 0], textMatrix);\n titleText.setTransform(textMatrix);\n mat4.translate(textMatrix, [-3, -0.1, 0], textMatrix);\n largeText.setTransform(textMatrix);\n\n return modelViewProjectionMatrix;\n}\n\nfunction frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n 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\ No newline at end of file diff --git a/sample/textRenderingMsdf/main.ts b/sample/textRenderingMsdf/main.ts index e83e2116..0e13daab 100644 --- a/sample/textRenderingMsdf/main.ts +++ b/sample/textRenderingMsdf/main.ts @@ -294,7 +294,7 @@ function getTransformationMatrix() { mat4.translate(textMatrix, [-3, -0.1, 0], textMatrix); largeText.setTransform(textMatrix); - return modelViewProjectionMatrix as Float32Array; + return modelViewProjectionMatrix; } function frame() { diff --git a/sample/textRenderingMsdf/msdfText.ts b/sample/textRenderingMsdf/msdfText.ts index 065213a7..adcd3ebd 100644 --- a/sample/textRenderingMsdf/msdfText.ts +++ b/sample/textRenderingMsdf/msdfText.ts @@ -1,9 +1,7 @@ -import { mat4 } from 'wgpu-matrix'; +import { mat4, Mat4 } from 'wgpu-matrix'; import msdfTextWGSL from './msdfText.wgsl'; -type Mat4 = mat4.default; - // The kerning map stores a spare map of character ID pairs with an associated // X offset that should be applied to the character spacing when the second // character ID is rendered after the first. diff --git a/sample/texturedCube/main.js b/sample/texturedCube/main.js index 168e1b86..5c83fe47 100644 --- a/sample/texturedCube/main.js +++ b/sample/texturedCube/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,1412 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; +} +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +1483,4008 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; } - return copy$3(a, dst); + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * Vec4 math functions. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. - * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); const cubeVertexSize = 4 * 10; // Byte size of one cube vertex. const cubePositionOffset = 0; @@ -2744,14 +5704,14 @@ const renderPassDescriptor = { }, }; const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); -const modelViewProjectionMatrix = mat4Impl.create(); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); +const modelViewProjectionMatrix = mat4.create(); function getTransformationMatrix() { - const viewMatrix = mat4Impl.identity(); - mat4Impl.translate(viewMatrix, vec3Impl.fromValues(0, 0, -4), viewMatrix); + const viewMatrix = mat4.identity(); + mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix); const now = Date.now() / 1000; - mat4Impl.rotate(viewMatrix, vec3Impl.fromValues(Math.sin(now), Math.cos(now), 0), 1, viewMatrix); - mat4Impl.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); + mat4.rotate(viewMatrix, vec3.fromValues(Math.sin(now), Math.cos(now), 0), 1, viewMatrix); + mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); return modelViewProjectionMatrix; } function frame() { diff --git a/sample/texturedCube/main.js.map b/sample/texturedCube/main.js.map index 2bba24b3..54cd8559 100644 --- a/sample/texturedCube/main.js.map +++ b/sample/texturedCube/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/texturedCube/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport sampleTextureMixColorWGSL from './sampleTextureMixColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: sampleTextureMixColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// Fetch the image and upload it into a GPUTexture.\nlet cubeTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/Di-3d.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n cubeTexture = device.createTexture({\n size: [imageBitmap.width, imageBitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: cubeTexture },\n [imageBitmap.width, imageBitmap.height]\n );\n}\n\n// Create a sampler with linear filtering for smooth interpolation.\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: cubeTexture.createView(),\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nfunction getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n viewMatrix\n );\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix as Float32Array;\n}\n\nfunction frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/texturedCube/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport sampleTextureMixColorWGSL from './sampleTextureMixColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: sampleTextureMixColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// Fetch the image and upload it into a GPUTexture.\nlet cubeTexture: GPUTexture;\n{\n const response = await fetch('../../assets/img/Di-3d.png');\n const imageBitmap = await createImageBitmap(await response.blob());\n\n cubeTexture = device.createTexture({\n size: [imageBitmap.width, imageBitmap.height, 1],\n format: 'rgba8unorm',\n usage:\n GPUTextureUsage.TEXTURE_BINDING |\n GPUTextureUsage.COPY_DST |\n GPUTextureUsage.RENDER_ATTACHMENT,\n });\n device.queue.copyExternalImageToTexture(\n { source: imageBitmap },\n { texture: cubeTexture },\n [imageBitmap.width, imageBitmap.height]\n );\n}\n\n// Create a sampler with linear filtering for smooth interpolation.\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: cubeTexture.createView(),\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\nconst modelViewProjectionMatrix = mat4.create();\n\nfunction getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n viewMatrix\n );\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix;\n}\n\nfunction frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.draw(cubeVertexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/texturedCube/main.ts b/sample/texturedCube/main.ts index 080e029c..73442116 100644 --- a/sample/texturedCube/main.ts +++ b/sample/texturedCube/main.ts @@ -186,7 +186,7 @@ function getTransformationMatrix() { mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); - return modelViewProjectionMatrix as Float32Array; + return modelViewProjectionMatrix; } function frame() { diff --git a/sample/twoCubes/main.js b/sample/twoCubes/main.js index 82b555ee..f87d9e90 100644 --- a/sample/twoCubes/main.js +++ b/sample/twoCubes/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,1412 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; +} +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +1483,4008 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; -} -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; -} -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product - */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} -/** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); -} -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; -} -/** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; } - return copy$3(a, dst); + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * Vec4 math functions. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. - * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); const cubeVertexSize = 4 * 10; // Byte size of one cube vertex. const cubePositionOffset = 0; @@ -2731,22 +5691,22 @@ const renderPassDescriptor = { }, }; const aspect = canvas.width / canvas.height; -const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); -const modelMatrix1 = mat4Impl.translation(vec3Impl.create(-2, 0, 0)); -const modelMatrix2 = mat4Impl.translation(vec3Impl.create(2, 0, 0)); -const modelViewProjectionMatrix1 = mat4Impl.create(); -const modelViewProjectionMatrix2 = mat4Impl.create(); -const viewMatrix = mat4Impl.translation(vec3Impl.fromValues(0, 0, -7)); -const tmpMat41 = mat4Impl.create(); -const tmpMat42 = mat4Impl.create(); +const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); +const modelMatrix1 = mat4.translation(vec3.create(-2, 0, 0)); +const modelMatrix2 = mat4.translation(vec3.create(2, 0, 0)); +const modelViewProjectionMatrix1 = mat4.create(); +const modelViewProjectionMatrix2 = mat4.create(); +const viewMatrix = mat4.translation(vec3.fromValues(0, 0, -7)); +const tmpMat41 = mat4.create(); +const tmpMat42 = mat4.create(); function updateTransformationMatrix() { const now = Date.now() / 1000; - mat4Impl.rotate(modelMatrix1, vec3Impl.fromValues(Math.sin(now), Math.cos(now), 0), 1, tmpMat41); - mat4Impl.rotate(modelMatrix2, vec3Impl.fromValues(Math.cos(now), Math.sin(now), 0), 1, tmpMat42); - mat4Impl.multiply(viewMatrix, tmpMat41, modelViewProjectionMatrix1); - mat4Impl.multiply(projectionMatrix, modelViewProjectionMatrix1, modelViewProjectionMatrix1); - mat4Impl.multiply(viewMatrix, tmpMat42, modelViewProjectionMatrix2); - mat4Impl.multiply(projectionMatrix, modelViewProjectionMatrix2, modelViewProjectionMatrix2); + mat4.rotate(modelMatrix1, vec3.fromValues(Math.sin(now), Math.cos(now), 0), 1, tmpMat41); + mat4.rotate(modelMatrix2, vec3.fromValues(Math.cos(now), Math.sin(now), 0), 1, tmpMat42); + mat4.multiply(viewMatrix, tmpMat41, modelViewProjectionMatrix1); + mat4.multiply(projectionMatrix, modelViewProjectionMatrix1, modelViewProjectionMatrix1); + mat4.multiply(viewMatrix, tmpMat42, modelViewProjectionMatrix2); + mat4.multiply(projectionMatrix, modelViewProjectionMatrix2, modelViewProjectionMatrix2); } function frame() { updateTransformationMatrix(); diff --git a/sample/twoCubes/main.js.map b/sample/twoCubes/main.js.map index 6f0763dd..d62afef7 100644 --- a/sample/twoCubes/main.js.map +++ b/sample/twoCubes/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/twoCubes/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst matrixSize = 4 * 16; // 4x4 matrix\nconst offset = 256; // uniformBindGroup offset must be 256-byte aligned\nconst uniformBufferSize = offset + matrixSize;\n\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup1 = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n offset: 0,\n size: matrixSize,\n },\n },\n ],\n});\n\nconst uniformBindGroup2 = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n offset: offset,\n size: matrixSize,\n },\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\n\nconst modelMatrix1 = mat4.translation(vec3.create(-2, 0, 0));\nconst modelMatrix2 = mat4.translation(vec3.create(2, 0, 0));\nconst modelViewProjectionMatrix1 = mat4.create() as Float32Array;\nconst modelViewProjectionMatrix2 = mat4.create() as Float32Array;\nconst viewMatrix = mat4.translation(vec3.fromValues(0, 0, -7));\n\nconst tmpMat41 = mat4.create();\nconst tmpMat42 = mat4.create();\n\nfunction updateTransformationMatrix() {\n const now = Date.now() / 1000;\n\n mat4.rotate(\n modelMatrix1,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n tmpMat41\n );\n mat4.rotate(\n modelMatrix2,\n vec3.fromValues(Math.cos(now), Math.sin(now), 0),\n 1,\n tmpMat42\n );\n\n mat4.multiply(viewMatrix, tmpMat41, modelViewProjectionMatrix1);\n mat4.multiply(\n projectionMatrix,\n modelViewProjectionMatrix1,\n modelViewProjectionMatrix1\n );\n mat4.multiply(viewMatrix, tmpMat42, modelViewProjectionMatrix2);\n mat4.multiply(\n projectionMatrix,\n modelViewProjectionMatrix2,\n modelViewProjectionMatrix2\n );\n}\n\nfunction frame() {\n updateTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n modelViewProjectionMatrix1.buffer,\n modelViewProjectionMatrix1.byteOffset,\n modelViewProjectionMatrix1.byteLength\n );\n device.queue.writeBuffer(\n uniformBuffer,\n offset,\n modelViewProjectionMatrix2.buffer,\n modelViewProjectionMatrix2.byteOffset,\n modelViewProjectionMatrix2.byteLength\n );\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n\n // Bind the bind group (with the transformation matrix) for\n // each cube, and draw.\n passEncoder.setBindGroup(0, uniformBindGroup1);\n passEncoder.draw(cubeVertexCount);\n\n passEncoder.setBindGroup(0, uniformBindGroup2);\n passEncoder.draw(cubeVertexCount);\n\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/twoCubes/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. 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If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\n\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\n// Create a vertex buffer from the cube data.\nconst verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n});\nnew Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\nverticesBuffer.unmap();\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n});\n\nconst depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\n\nconst matrixSize = 4 * 16; // 4x4 matrix\nconst offset = 256; // uniformBindGroup offset must be 256-byte aligned\nconst uniformBufferSize = offset + matrixSize;\n\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\nconst uniformBindGroup1 = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n offset: 0,\n size: matrixSize,\n },\n },\n ],\n});\n\nconst uniformBindGroup2 = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n offset: offset,\n size: matrixSize,\n },\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n};\n\nconst aspect = canvas.width / canvas.height;\nconst projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0);\n\nconst modelMatrix1 = mat4.translation(vec3.create(-2, 0, 0));\nconst modelMatrix2 = mat4.translation(vec3.create(2, 0, 0));\nconst modelViewProjectionMatrix1 = mat4.create();\nconst modelViewProjectionMatrix2 = mat4.create();\nconst viewMatrix = mat4.translation(vec3.fromValues(0, 0, -7));\n\nconst tmpMat41 = mat4.create();\nconst tmpMat42 = mat4.create();\n\nfunction updateTransformationMatrix() {\n const now = Date.now() / 1000;\n\n mat4.rotate(\n modelMatrix1,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n tmpMat41\n );\n mat4.rotate(\n modelMatrix2,\n vec3.fromValues(Math.cos(now), Math.sin(now), 0),\n 1,\n tmpMat42\n );\n\n mat4.multiply(viewMatrix, tmpMat41, modelViewProjectionMatrix1);\n mat4.multiply(\n projectionMatrix,\n modelViewProjectionMatrix1,\n modelViewProjectionMatrix1\n );\n mat4.multiply(viewMatrix, tmpMat42, modelViewProjectionMatrix2);\n mat4.multiply(\n projectionMatrix,\n modelViewProjectionMatrix2,\n modelViewProjectionMatrix2\n );\n}\n\nfunction frame() {\n updateTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n modelViewProjectionMatrix1.buffer,\n modelViewProjectionMatrix1.byteOffset,\n modelViewProjectionMatrix1.byteLength\n );\n device.queue.writeBuffer(\n uniformBuffer,\n offset,\n modelViewProjectionMatrix2.buffer,\n modelViewProjectionMatrix2.byteOffset,\n modelViewProjectionMatrix2.byteLength\n );\n\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n\n // Bind the bind group (with the transformation matrix) for\n // each cube, and draw.\n passEncoder.setBindGroup(0, uniformBindGroup1);\n passEncoder.draw(cubeVertexCount);\n\n passEncoder.setBindGroup(0, uniformBindGroup2);\n passEncoder.draw(cubeVertexCount);\n\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file diff --git a/sample/twoCubes/main.ts b/sample/twoCubes/main.ts index c33289f5..4a9f4374 100644 --- a/sample/twoCubes/main.ts +++ b/sample/twoCubes/main.ts @@ -158,8 +158,8 @@ const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); const modelMatrix1 = mat4.translation(vec3.create(-2, 0, 0)); const modelMatrix2 = mat4.translation(vec3.create(2, 0, 0)); -const modelViewProjectionMatrix1 = mat4.create() as Float32Array; -const modelViewProjectionMatrix2 = mat4.create() as Float32Array; +const modelViewProjectionMatrix1 = mat4.create(); +const modelViewProjectionMatrix2 = mat4.create(); const viewMatrix = mat4.translation(vec3.fromValues(0, 0, -7)); const tmpMat41 = mat4.create(); diff --git a/sample/volumeRenderingTexture3D/main.js b/sample/volumeRenderingTexture3D/main.js index 9b25be11..5e4bdcde 100644 --- a/sample/volumeRenderingTexture3D/main.js +++ b/sample/volumeRenderingTexture3D/main.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,222 +54,2389 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** + * Generates am typed API for Vec3 + */ +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + } + } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let VecType$1 = Float32Array; /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } } } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } - return dst; -} -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * 4x4 Matrix math math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this - * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix - * - * or - * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. +/* + * Copyright 2022 Gregg Tavares * - * It is always save to pass any matrix as the destination. So for example + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -let MatType = Float32Array; /** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; +} + /** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` - * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in - * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. - */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } } } } @@ -275,1449 +2452,3039 @@ function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v1 } } } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Creates a 4-by-4 identity matrix. + +/* + * Copyright 2022 Gregg Tavares * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} /** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; + } + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } -let xAxis; -let yAxis; -let zAxis; +const cache$1 = new Map(); /** - * Computes a 4-by-4 aim transformation. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Quat4 math functions. * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * or * - * Note: this is the inverse of `lookAt` + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * It is always safe to pass any vector as the destination. So for example + * + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation$1 = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} /** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * + * Vec4 math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this + * + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. + * + * or + * + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always safe to pass any vector as the destination. So for example + * + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 + * */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation$1, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); /** * dat-gui JavaScript Controller Library @@ -4401,16 +8168,16 @@ const renderPassDescriptor = { }; let rotation = 0; function getInverseModelViewProjectionMatrix(deltaTime) { - const viewMatrix = mat4Impl.identity(); - mat4Impl.translate(viewMatrix, [0, 0, -4], viewMatrix); + const viewMatrix = mat4.identity(); + mat4.translate(viewMatrix, [0, 0, -4], viewMatrix); if (params.rotateCamera) { rotation += deltaTime; } - mat4Impl.rotate(viewMatrix, [Math.sin(rotation), Math.cos(rotation), 0], 1, viewMatrix); + mat4.rotate(viewMatrix, [Math.sin(rotation), Math.cos(rotation), 0], 1, viewMatrix); const aspect = canvas.width / canvas.height; - const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, params.near, params.far); - const modelViewProjectionMatrix = mat4Impl.multiply(projectionMatrix, viewMatrix); - return mat4Impl.invert(modelViewProjectionMatrix); + const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, params.near, params.far); + const modelViewProjectionMatrix = mat4.multiply(projectionMatrix, viewMatrix); + return mat4.invert(modelViewProjectionMatrix); } let lastFrameMS = Date.now(); function frame() { diff --git a/sample/volumeRenderingTexture3D/main.js.map b/sample/volumeRenderingTexture3D/main.js.map index 41acc5c9..cab8b38d 100644 --- a/sample/volumeRenderingTexture3D/main.js.map +++ b/sample/volumeRenderingTexture3D/main.js.map @@ -1 +1 @@ -{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/volumeRenderingTexture3D/main.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport volumeWGSL from './volume.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\n\nconst gui = new GUI();\n\n// GUI parameters\nconst params: { rotateCamera: boolean; near: number; far: number } = {\n rotateCamera: true,\n near: 2.0,\n far: 7.0,\n};\n\ngui.add(params, 'rotateCamera', true);\ngui.add(params, 'near', 2.0, 7.0);\ngui.add(params, 'far', 2.0, 7.0);\n\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst sampleCount = 4;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: volumeWGSL,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: volumeWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n multisample: {\n count: sampleCount,\n },\n});\n\nconst texture = device.createTexture({\n size: [canvas.width, canvas.height],\n sampleCount,\n format: presentationFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\nconst view = texture.createView();\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// Fetch the image and upload it into a GPUTexture.\nlet volumeTexture: GPUTexture;\n{\n const width = 180;\n const height = 216;\n const depth = 180;\n const format: GPUTextureFormat = 'r8unorm';\n const blockLength = 1;\n const bytesPerBlock = 1;\n const blocksWide = Math.ceil(width / blockLength);\n const blocksHigh = Math.ceil(height / blockLength);\n const bytesPerRow = blocksWide * bytesPerBlock;\n const dataPath =\n '../../assets/img/volume/t1_icbm_normal_1mm_pn0_rf0_180x216x180_uint8_1x1.bin-gz';\n\n // Fetch the compressed data\n const response = await fetch(dataPath);\n const compressedArrayBuffer = await response.arrayBuffer();\n\n // Decompress the data using DecompressionStream for gzip format\n const decompressionStream = new DecompressionStream('gzip');\n const decompressedStream = new Response(\n compressedArrayBuffer\n ).body.pipeThrough(decompressionStream);\n const decompressedArrayBuffer = await new Response(\n decompressedStream\n ).arrayBuffer();\n const byteArray = new Uint8Array(decompressedArrayBuffer);\n\n volumeTexture = device.createTexture({\n dimension: '3d',\n size: [width, height, depth],\n format: format,\n usage: GPUTextureUsage.TEXTURE_BINDING | GPUTextureUsage.COPY_DST,\n });\n\n device.queue.writeTexture(\n {\n texture: volumeTexture,\n },\n byteArray,\n { bytesPerRow: bytesPerRow, rowsPerImage: blocksHigh },\n [width, height, depth]\n );\n}\n\n// Create a sampler with linear filtering for smooth interpolation.\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n mipmapFilter: 'linear',\n maxAnisotropy: 16,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: volumeTexture.createView(),\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'discard',\n },\n ],\n};\n\nlet rotation = 0;\n\nfunction getInverseModelViewProjectionMatrix(deltaTime: number) {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, [0, 0, -4], viewMatrix);\n if (params.rotateCamera) {\n rotation += deltaTime;\n }\n mat4.rotate(\n viewMatrix,\n [Math.sin(rotation), Math.cos(rotation), 0],\n 1,\n viewMatrix\n );\n\n const aspect = canvas.width / canvas.height;\n const projectionMatrix = mat4.perspective(\n (2 * Math.PI) / 5,\n aspect,\n params.near,\n params.far\n );\n const modelViewProjectionMatrix = mat4.multiply(projectionMatrix, viewMatrix);\n\n return mat4.invert(modelViewProjectionMatrix) as Float32Array;\n}\n\nlet lastFrameMS = Date.now();\n\nfunction frame() {\n const now = Date.now();\n const deltaTime = (now - lastFrameMS) / 1000;\n lastFrameMS = now;\n\n const inverseModelViewProjection =\n getInverseModelViewProjectionMatrix(deltaTime);\n device.queue.writeBuffer(uniformBuffer, 0, inverseModelViewProjection);\n renderPassDescriptor.colorAttachments[0].view = view;\n renderPassDescriptor.colorAttachments[0].resolveTarget = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.draw(3);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n 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\ No newline at end of file +{"version":3,"file":"main.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../node_modules/dat.gui/build/dat.gui.module.js","../../../../../sample/volumeRenderingTexture3D/main.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","/**\n * dat-gui JavaScript Controller Library\n * https://github.com/dataarts/dat.gui\n *\n * Copyright 2011 Data Arts Team, Google Creative Lab\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at\n *\n * http://www.apache.org/licenses/LICENSE-2.0\n */\n\nfunction ___$insertStyle(css) {\n if (!css) {\n return;\n }\n if (typeof window === 'undefined') {\n return;\n }\n\n var style = document.createElement('style');\n\n style.setAttribute('type', 'text/css');\n style.innerHTML = css;\n document.head.appendChild(style);\n\n return css;\n}\n\nfunction colorToString (color, forceCSSHex) {\n var colorFormat = color.__state.conversionName.toString();\n var r = Math.round(color.r);\n var g = Math.round(color.g);\n var b = Math.round(color.b);\n var a = color.a;\n var h = Math.round(color.h);\n var s = color.s.toFixed(1);\n var v = color.v.toFixed(1);\n if (forceCSSHex || colorFormat === 'THREE_CHAR_HEX' || colorFormat === 'SIX_CHAR_HEX') {\n var str = color.hex.toString(16);\n while (str.length < 6) {\n str = '0' + str;\n }\n return '#' + str;\n } else if (colorFormat === 'CSS_RGB') {\n return 'rgb(' + r + ',' + g + ',' + b + ')';\n } else if (colorFormat === 'CSS_RGBA') {\n return 'rgba(' + r + ',' + g + ',' + b + ',' + a + ')';\n } else if (colorFormat === 'HEX') {\n return '0x' + color.hex.toString(16);\n } else if (colorFormat === 'RGB_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ']';\n } else if (colorFormat === 'RGBA_ARRAY') {\n return '[' + r + ',' + g + ',' + b + ',' + a + ']';\n } else if (colorFormat === 'RGB_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + '}';\n } else if (colorFormat === 'RGBA_OBJ') {\n return '{r:' + r + ',g:' + g + ',b:' + b + ',a:' + a + '}';\n } else if (colorFormat === 'HSV_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + '}';\n } else if (colorFormat === 'HSVA_OBJ') {\n return '{h:' + h + ',s:' + s + ',v:' + v + ',a:' + a + '}';\n }\n return 'unknown format';\n}\n\nvar ARR_EACH = Array.prototype.forEach;\nvar ARR_SLICE = Array.prototype.slice;\nvar Common = {\n BREAK: {},\n extend: function extend(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (!this.isUndefined(obj[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n defaults: function defaults(target) {\n this.each(ARR_SLICE.call(arguments, 1), function (obj) {\n var keys = this.isObject(obj) ? Object.keys(obj) : [];\n keys.forEach(function (key) {\n if (this.isUndefined(target[key])) {\n target[key] = obj[key];\n }\n }.bind(this));\n }, this);\n return target;\n },\n compose: function compose() {\n var toCall = ARR_SLICE.call(arguments);\n return function () {\n var args = ARR_SLICE.call(arguments);\n for (var i = toCall.length - 1; i >= 0; i--) {\n args = [toCall[i].apply(this, args)];\n }\n return args[0];\n };\n },\n each: function each(obj, itr, scope) {\n if (!obj) {\n return;\n }\n if (ARR_EACH && obj.forEach && obj.forEach === ARR_EACH) {\n obj.forEach(itr, scope);\n } else if (obj.length === obj.length + 0) {\n var key = void 0;\n var l = void 0;\n for (key = 0, l = obj.length; key < l; key++) {\n if (key in obj && itr.call(scope, obj[key], key) === this.BREAK) {\n return;\n }\n }\n } else {\n for (var _key in obj) {\n if (itr.call(scope, obj[_key], _key) === this.BREAK) {\n return;\n }\n }\n }\n },\n defer: function defer(fnc) {\n setTimeout(fnc, 0);\n },\n debounce: function debounce(func, threshold, callImmediately) {\n var timeout = void 0;\n return function () {\n var obj = this;\n var args = arguments;\n function delayed() {\n timeout = null;\n if (!callImmediately) func.apply(obj, args);\n }\n var callNow = callImmediately || !timeout;\n clearTimeout(timeout);\n timeout = setTimeout(delayed, threshold);\n if (callNow) {\n func.apply(obj, args);\n }\n };\n },\n toArray: function toArray(obj) {\n if (obj.toArray) return obj.toArray();\n return ARR_SLICE.call(obj);\n },\n isUndefined: function isUndefined(obj) {\n return obj === undefined;\n },\n isNull: function isNull(obj) {\n return obj === null;\n },\n isNaN: function (_isNaN) {\n function isNaN(_x) {\n return _isNaN.apply(this, arguments);\n }\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n return isNaN;\n }(function (obj) {\n return isNaN(obj);\n }),\n isArray: Array.isArray || function (obj) {\n return obj.constructor === Array;\n },\n isObject: function isObject(obj) {\n return obj === Object(obj);\n },\n isNumber: function isNumber(obj) {\n return obj === obj + 0;\n },\n isString: function isString(obj) {\n return obj === obj + '';\n },\n isBoolean: function isBoolean(obj) {\n return obj === false || obj === true;\n },\n isFunction: function isFunction(obj) {\n return obj instanceof Function;\n }\n};\n\nvar INTERPRETATIONS = [\n{\n litmus: Common.isString,\n conversions: {\n THREE_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9])([A-F0-9])([A-F0-9])$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString() + test[1].toString() + test[2].toString() + test[2].toString() + test[3].toString() + test[3].toString(), 0)\n };\n },\n write: colorToString\n },\n SIX_CHAR_HEX: {\n read: function read(original) {\n var test = original.match(/^#([A-F0-9]{6})$/i);\n if (test === null) {\n return false;\n }\n return {\n space: 'HEX',\n hex: parseInt('0x' + test[1].toString(), 0)\n };\n },\n write: colorToString\n },\n CSS_RGB: {\n read: function read(original) {\n var test = original.match(/^rgb\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3])\n };\n },\n write: colorToString\n },\n CSS_RGBA: {\n read: function read(original) {\n var test = original.match(/^rgba\\(\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*,\\s*(\\S+)\\s*\\)/);\n if (test === null) {\n return false;\n }\n return {\n space: 'RGB',\n r: parseFloat(test[1]),\n g: parseFloat(test[2]),\n b: parseFloat(test[3]),\n a: parseFloat(test[4])\n };\n },\n write: colorToString\n }\n }\n},\n{\n litmus: Common.isNumber,\n conversions: {\n HEX: {\n read: function read(original) {\n return {\n space: 'HEX',\n hex: original,\n conversionName: 'HEX'\n };\n },\n write: function write(color) {\n return color.hex;\n }\n }\n }\n},\n{\n litmus: Common.isArray,\n conversions: {\n RGB_ARRAY: {\n read: function read(original) {\n if (original.length !== 3) {\n return false;\n }\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b];\n }\n },\n RGBA_ARRAY: {\n read: function read(original) {\n if (original.length !== 4) return false;\n return {\n space: 'RGB',\n r: original[0],\n g: original[1],\n b: original[2],\n a: original[3]\n };\n },\n write: function write(color) {\n return [color.r, color.g, color.b, color.a];\n }\n }\n }\n},\n{\n litmus: Common.isObject,\n conversions: {\n RGBA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b) && Common.isNumber(original.a)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b,\n a: color.a\n };\n }\n },\n RGB_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.r) && Common.isNumber(original.g) && Common.isNumber(original.b)) {\n return {\n space: 'RGB',\n r: original.r,\n g: original.g,\n b: original.b\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n r: color.r,\n g: color.g,\n b: color.b\n };\n }\n },\n HSVA_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v) && Common.isNumber(original.a)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v,\n a: original.a\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v,\n a: color.a\n };\n }\n },\n HSV_OBJ: {\n read: function read(original) {\n if (Common.isNumber(original.h) && Common.isNumber(original.s) && Common.isNumber(original.v)) {\n return {\n space: 'HSV',\n h: original.h,\n s: original.s,\n v: original.v\n };\n }\n return false;\n },\n write: function write(color) {\n return {\n h: color.h,\n s: color.s,\n v: color.v\n };\n }\n }\n }\n}];\nvar result = void 0;\nvar toReturn = void 0;\nvar interpret = function interpret() {\n toReturn = false;\n var original = arguments.length > 1 ? Common.toArray(arguments) : arguments[0];\n Common.each(INTERPRETATIONS, function (family) {\n if (family.litmus(original)) {\n Common.each(family.conversions, function (conversion, conversionName) {\n result = conversion.read(original);\n if (toReturn === false && result !== false) {\n toReturn = result;\n result.conversionName = conversionName;\n result.conversion = conversion;\n return Common.BREAK;\n }\n });\n return Common.BREAK;\n }\n });\n return toReturn;\n};\n\nvar tmpComponent = void 0;\nvar ColorMath = {\n hsv_to_rgb: function hsv_to_rgb(h, s, v) {\n var hi = Math.floor(h / 60) % 6;\n var f = h / 60 - Math.floor(h / 60);\n var p = v * (1.0 - s);\n var q = v * (1.0 - f * s);\n var t = v * (1.0 - (1.0 - f) * s);\n var c = [[v, t, p], [q, v, p], [p, v, t], [p, q, v], [t, p, v], [v, p, q]][hi];\n return {\n r: c[0] * 255,\n g: c[1] * 255,\n b: c[2] * 255\n };\n },\n rgb_to_hsv: function rgb_to_hsv(r, g, b) {\n var min = Math.min(r, g, b);\n var max = Math.max(r, g, b);\n var delta = max - min;\n var h = void 0;\n var s = void 0;\n if (max !== 0) {\n s = delta / max;\n } else {\n return {\n h: NaN,\n s: 0,\n v: 0\n };\n }\n if (r === max) {\n h = (g - b) / delta;\n } else if (g === max) {\n h = 2 + (b - r) / delta;\n } else {\n h = 4 + (r - g) / delta;\n }\n h /= 6;\n if (h < 0) {\n h += 1;\n }\n return {\n h: h * 360,\n s: s,\n v: max / 255\n };\n },\n rgb_to_hex: function rgb_to_hex(r, g, b) {\n var hex = this.hex_with_component(0, 2, r);\n hex = this.hex_with_component(hex, 1, g);\n hex = this.hex_with_component(hex, 0, b);\n return hex;\n },\n component_from_hex: function component_from_hex(hex, componentIndex) {\n return hex >> componentIndex * 8 & 0xFF;\n },\n hex_with_component: function hex_with_component(hex, componentIndex, value) {\n return value << (tmpComponent = componentIndex * 8) | hex & ~(0xFF << tmpComponent);\n }\n};\n\nvar _typeof = typeof Symbol === \"function\" && typeof Symbol.iterator === \"symbol\" ? function (obj) {\n return typeof obj;\n} : function (obj) {\n return obj && typeof Symbol === \"function\" && obj.constructor === Symbol && obj !== Symbol.prototype ? \"symbol\" : typeof obj;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar classCallCheck = function (instance, Constructor) {\n if (!(instance instanceof Constructor)) {\n throw new TypeError(\"Cannot call a class as a function\");\n }\n};\n\nvar createClass = function () {\n function defineProperties(target, props) {\n for (var i = 0; i < props.length; i++) {\n var descriptor = props[i];\n descriptor.enumerable = descriptor.enumerable || false;\n descriptor.configurable = true;\n if (\"value\" in descriptor) descriptor.writable = true;\n Object.defineProperty(target, descriptor.key, descriptor);\n }\n }\n\n return function (Constructor, protoProps, staticProps) {\n if (protoProps) defineProperties(Constructor.prototype, protoProps);\n if (staticProps) defineProperties(Constructor, staticProps);\n return Constructor;\n };\n}();\n\n\n\n\n\n\n\nvar get = function get(object, property, receiver) {\n if (object === null) object = Function.prototype;\n var desc = Object.getOwnPropertyDescriptor(object, property);\n\n if (desc === undefined) {\n var parent = Object.getPrototypeOf(object);\n\n if (parent === null) {\n return undefined;\n } else {\n return get(parent, property, receiver);\n }\n } else if (\"value\" in desc) {\n return desc.value;\n } else {\n var getter = desc.get;\n\n if (getter === undefined) {\n return undefined;\n }\n\n return getter.call(receiver);\n }\n};\n\nvar inherits = function (subClass, superClass) {\n if (typeof superClass !== \"function\" && superClass !== null) {\n throw new TypeError(\"Super expression must either be null or a function, not \" + typeof superClass);\n }\n\n subClass.prototype = Object.create(superClass && superClass.prototype, {\n constructor: {\n value: subClass,\n enumerable: false,\n writable: true,\n configurable: true\n }\n });\n if (superClass) Object.setPrototypeOf ? Object.setPrototypeOf(subClass, superClass) : subClass.__proto__ = superClass;\n};\n\n\n\n\n\n\n\n\n\n\n\nvar possibleConstructorReturn = function (self, call) {\n if (!self) {\n throw new ReferenceError(\"this hasn't been initialised - super() hasn't been called\");\n }\n\n return call && (typeof call === \"object\" || typeof call === \"function\") ? call : self;\n};\n\nvar Color = function () {\n function Color() {\n classCallCheck(this, Color);\n this.__state = interpret.apply(this, arguments);\n if (this.__state === false) {\n throw new Error('Failed to interpret color arguments');\n }\n this.__state.a = this.__state.a || 1;\n }\n createClass(Color, [{\n key: 'toString',\n value: function toString() {\n return colorToString(this);\n }\n }, {\n key: 'toHexString',\n value: function toHexString() {\n return colorToString(this, true);\n }\n }, {\n key: 'toOriginal',\n value: function toOriginal() {\n return this.__state.conversion.write(this);\n }\n }]);\n return Color;\n}();\nfunction defineRGBComponent(target, component, componentHexIndex) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'RGB') {\n return this.__state[component];\n }\n Color.recalculateRGB(this, component, componentHexIndex);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'RGB') {\n Color.recalculateRGB(this, component, componentHexIndex);\n this.__state.space = 'RGB';\n }\n this.__state[component] = v;\n }\n });\n}\nfunction defineHSVComponent(target, component) {\n Object.defineProperty(target, component, {\n get: function get$$1() {\n if (this.__state.space === 'HSV') {\n return this.__state[component];\n }\n Color.recalculateHSV(this);\n return this.__state[component];\n },\n set: function set$$1(v) {\n if (this.__state.space !== 'HSV') {\n Color.recalculateHSV(this);\n this.__state.space = 'HSV';\n }\n this.__state[component] = v;\n }\n });\n}\nColor.recalculateRGB = function (color, component, componentHexIndex) {\n if (color.__state.space === 'HEX') {\n color.__state[component] = ColorMath.component_from_hex(color.__state.hex, componentHexIndex);\n } else if (color.__state.space === 'HSV') {\n Common.extend(color.__state, ColorMath.hsv_to_rgb(color.__state.h, color.__state.s, color.__state.v));\n } else {\n throw new Error('Corrupted color state');\n }\n};\nColor.recalculateHSV = function (color) {\n var result = ColorMath.rgb_to_hsv(color.r, color.g, color.b);\n Common.extend(color.__state, {\n s: result.s,\n v: result.v\n });\n if (!Common.isNaN(result.h)) {\n color.__state.h = result.h;\n } else if (Common.isUndefined(color.__state.h)) {\n color.__state.h = 0;\n }\n};\nColor.COMPONENTS = ['r', 'g', 'b', 'h', 's', 'v', 'hex', 'a'];\ndefineRGBComponent(Color.prototype, 'r', 2);\ndefineRGBComponent(Color.prototype, 'g', 1);\ndefineRGBComponent(Color.prototype, 'b', 0);\ndefineHSVComponent(Color.prototype, 'h');\ndefineHSVComponent(Color.prototype, 's');\ndefineHSVComponent(Color.prototype, 'v');\nObject.defineProperty(Color.prototype, 'a', {\n get: function get$$1() {\n return this.__state.a;\n },\n set: function set$$1(v) {\n this.__state.a = v;\n }\n});\nObject.defineProperty(Color.prototype, 'hex', {\n get: function get$$1() {\n if (this.__state.space !== 'HEX') {\n this.__state.hex = ColorMath.rgb_to_hex(this.r, this.g, this.b);\n this.__state.space = 'HEX';\n }\n return this.__state.hex;\n },\n set: function set$$1(v) {\n this.__state.space = 'HEX';\n this.__state.hex = v;\n }\n});\n\nvar Controller = function () {\n function Controller(object, property) {\n classCallCheck(this, Controller);\n this.initialValue = object[property];\n this.domElement = document.createElement('div');\n this.object = object;\n this.property = property;\n this.__onChange = undefined;\n this.__onFinishChange = undefined;\n }\n createClass(Controller, [{\n key: 'onChange',\n value: function onChange(fnc) {\n this.__onChange = fnc;\n return this;\n }\n }, {\n key: 'onFinishChange',\n value: function onFinishChange(fnc) {\n this.__onFinishChange = fnc;\n return this;\n }\n }, {\n key: 'setValue',\n value: function setValue(newValue) {\n this.object[this.property] = newValue;\n if (this.__onChange) {\n this.__onChange.call(this, newValue);\n }\n this.updateDisplay();\n return this;\n }\n }, {\n key: 'getValue',\n value: function getValue() {\n return this.object[this.property];\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n return this;\n }\n }, {\n key: 'isModified',\n value: function isModified() {\n return this.initialValue !== this.getValue();\n }\n }]);\n return Controller;\n}();\n\nvar EVENT_MAP = {\n HTMLEvents: ['change'],\n MouseEvents: ['click', 'mousemove', 'mousedown', 'mouseup', 'mouseover'],\n KeyboardEvents: ['keydown']\n};\nvar EVENT_MAP_INV = {};\nCommon.each(EVENT_MAP, function (v, k) {\n Common.each(v, function (e) {\n EVENT_MAP_INV[e] = k;\n });\n});\nvar CSS_VALUE_PIXELS = /(\\d+(\\.\\d+)?)px/;\nfunction cssValueToPixels(val) {\n if (val === '0' || Common.isUndefined(val)) {\n return 0;\n }\n var match = val.match(CSS_VALUE_PIXELS);\n if (!Common.isNull(match)) {\n return parseFloat(match[1]);\n }\n return 0;\n}\nvar dom = {\n makeSelectable: function makeSelectable(elem, selectable) {\n if (elem === undefined || elem.style === undefined) return;\n elem.onselectstart = selectable ? function () {\n return false;\n } : function () {};\n elem.style.MozUserSelect = selectable ? 'auto' : 'none';\n elem.style.KhtmlUserSelect = selectable ? 'auto' : 'none';\n elem.unselectable = selectable ? 'on' : 'off';\n },\n makeFullscreen: function makeFullscreen(elem, hor, vert) {\n var vertical = vert;\n var horizontal = hor;\n if (Common.isUndefined(horizontal)) {\n horizontal = true;\n }\n if (Common.isUndefined(vertical)) {\n vertical = true;\n }\n elem.style.position = 'absolute';\n if (horizontal) {\n elem.style.left = 0;\n elem.style.right = 0;\n }\n if (vertical) {\n elem.style.top = 0;\n elem.style.bottom = 0;\n }\n },\n fakeEvent: function fakeEvent(elem, eventType, pars, aux) {\n var params = pars || {};\n var className = EVENT_MAP_INV[eventType];\n if (!className) {\n throw new Error('Event type ' + eventType + ' not supported.');\n }\n var evt = document.createEvent(className);\n switch (className) {\n case 'MouseEvents':\n {\n var clientX = params.x || params.clientX || 0;\n var clientY = params.y || params.clientY || 0;\n evt.initMouseEvent(eventType, params.bubbles || false, params.cancelable || true, window, params.clickCount || 1, 0,\n 0,\n clientX,\n clientY,\n false, false, false, false, 0, null);\n break;\n }\n case 'KeyboardEvents':\n {\n var init = evt.initKeyboardEvent || evt.initKeyEvent;\n Common.defaults(params, {\n cancelable: true,\n ctrlKey: false,\n altKey: false,\n shiftKey: false,\n metaKey: false,\n keyCode: undefined,\n charCode: undefined\n });\n init(eventType, params.bubbles || false, params.cancelable, window, params.ctrlKey, params.altKey, params.shiftKey, params.metaKey, params.keyCode, params.charCode);\n break;\n }\n default:\n {\n evt.initEvent(eventType, params.bubbles || false, params.cancelable || true);\n break;\n }\n }\n Common.defaults(evt, aux);\n elem.dispatchEvent(evt);\n },\n bind: function bind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.addEventListener) {\n elem.addEventListener(event, func, bool);\n } else if (elem.attachEvent) {\n elem.attachEvent('on' + event, func);\n }\n return dom;\n },\n unbind: function unbind(elem, event, func, newBool) {\n var bool = newBool || false;\n if (elem.removeEventListener) {\n elem.removeEventListener(event, func, bool);\n } else if (elem.detachEvent) {\n elem.detachEvent('on' + event, func);\n }\n return dom;\n },\n addClass: function addClass(elem, className) {\n if (elem.className === undefined) {\n elem.className = className;\n } else if (elem.className !== className) {\n var classes = elem.className.split(/ +/);\n if (classes.indexOf(className) === -1) {\n classes.push(className);\n elem.className = classes.join(' ').replace(/^\\s+/, '').replace(/\\s+$/, '');\n }\n }\n return dom;\n },\n removeClass: function removeClass(elem, className) {\n if (className) {\n if (elem.className === className) {\n elem.removeAttribute('class');\n } else {\n var classes = elem.className.split(/ +/);\n var index = classes.indexOf(className);\n if (index !== -1) {\n classes.splice(index, 1);\n elem.className = classes.join(' ');\n }\n }\n } else {\n elem.className = undefined;\n }\n return dom;\n },\n hasClass: function hasClass(elem, className) {\n return new RegExp('(?:^|\\\\s+)' + className + '(?:\\\\s+|$)').test(elem.className) || false;\n },\n getWidth: function getWidth(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-left-width']) + cssValueToPixels(style['border-right-width']) + cssValueToPixels(style['padding-left']) + cssValueToPixels(style['padding-right']) + cssValueToPixels(style.width);\n },\n getHeight: function getHeight(elem) {\n var style = getComputedStyle(elem);\n return cssValueToPixels(style['border-top-width']) + cssValueToPixels(style['border-bottom-width']) + cssValueToPixels(style['padding-top']) + cssValueToPixels(style['padding-bottom']) + cssValueToPixels(style.height);\n },\n getOffset: function getOffset(el) {\n var elem = el;\n var offset = { left: 0, top: 0 };\n if (elem.offsetParent) {\n do {\n offset.left += elem.offsetLeft;\n offset.top += elem.offsetTop;\n elem = elem.offsetParent;\n } while (elem);\n }\n return offset;\n },\n isActive: function isActive(elem) {\n return elem === document.activeElement && (elem.type || elem.href);\n }\n};\n\nvar BooleanController = function (_Controller) {\n inherits(BooleanController, _Controller);\n function BooleanController(object, property) {\n classCallCheck(this, BooleanController);\n var _this2 = possibleConstructorReturn(this, (BooleanController.__proto__ || Object.getPrototypeOf(BooleanController)).call(this, object, property));\n var _this = _this2;\n _this2.__prev = _this2.getValue();\n _this2.__checkbox = document.createElement('input');\n _this2.__checkbox.setAttribute('type', 'checkbox');\n function onChange() {\n _this.setValue(!_this.__prev);\n }\n dom.bind(_this2.__checkbox, 'change', onChange, false);\n _this2.domElement.appendChild(_this2.__checkbox);\n _this2.updateDisplay();\n return _this2;\n }\n createClass(BooleanController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n this.__prev = this.getValue();\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (this.getValue() === true) {\n this.__checkbox.setAttribute('checked', 'checked');\n this.__checkbox.checked = true;\n this.__prev = true;\n } else {\n this.__checkbox.checked = false;\n this.__prev = false;\n }\n return get(BooleanController.prototype.__proto__ || Object.getPrototypeOf(BooleanController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return BooleanController;\n}(Controller);\n\nvar OptionController = function (_Controller) {\n inherits(OptionController, _Controller);\n function OptionController(object, property, opts) {\n classCallCheck(this, OptionController);\n var _this2 = possibleConstructorReturn(this, (OptionController.__proto__ || Object.getPrototypeOf(OptionController)).call(this, object, property));\n var options = opts;\n var _this = _this2;\n _this2.__select = document.createElement('select');\n if (Common.isArray(options)) {\n var map = {};\n Common.each(options, function (element) {\n map[element] = element;\n });\n options = map;\n }\n Common.each(options, function (value, key) {\n var opt = document.createElement('option');\n opt.innerHTML = key;\n opt.setAttribute('value', value);\n _this.__select.appendChild(opt);\n });\n _this2.updateDisplay();\n dom.bind(_this2.__select, 'change', function () {\n var desiredValue = this.options[this.selectedIndex].value;\n _this.setValue(desiredValue);\n });\n _this2.domElement.appendChild(_this2.__select);\n return _this2;\n }\n createClass(OptionController, [{\n key: 'setValue',\n value: function setValue(v) {\n var toReturn = get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'setValue', this).call(this, v);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n return toReturn;\n }\n }, {\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (dom.isActive(this.__select)) return this;\n this.__select.value = this.getValue();\n return get(OptionController.prototype.__proto__ || Object.getPrototypeOf(OptionController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return OptionController;\n}(Controller);\n\nvar StringController = function (_Controller) {\n inherits(StringController, _Controller);\n function StringController(object, property) {\n classCallCheck(this, StringController);\n var _this2 = possibleConstructorReturn(this, (StringController.__proto__ || Object.getPrototypeOf(StringController)).call(this, object, property));\n var _this = _this2;\n function onChange() {\n _this.setValue(_this.__input.value);\n }\n function onBlur() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'keyup', onChange);\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n this.blur();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(StringController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n if (!dom.isActive(this.__input)) {\n this.__input.value = this.getValue();\n }\n return get(StringController.prototype.__proto__ || Object.getPrototypeOf(StringController.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return StringController;\n}(Controller);\n\nfunction numDecimals(x) {\n var _x = x.toString();\n if (_x.indexOf('.') > -1) {\n return _x.length - _x.indexOf('.') - 1;\n }\n return 0;\n}\nvar NumberController = function (_Controller) {\n inherits(NumberController, _Controller);\n function NumberController(object, property, params) {\n classCallCheck(this, NumberController);\n var _this = possibleConstructorReturn(this, (NumberController.__proto__ || Object.getPrototypeOf(NumberController)).call(this, object, property));\n var _params = params || {};\n _this.__min = _params.min;\n _this.__max = _params.max;\n _this.__step = _params.step;\n if (Common.isUndefined(_this.__step)) {\n if (_this.initialValue === 0) {\n _this.__impliedStep = 1;\n } else {\n _this.__impliedStep = Math.pow(10, Math.floor(Math.log(Math.abs(_this.initialValue)) / Math.LN10)) / 10;\n }\n } else {\n _this.__impliedStep = _this.__step;\n }\n _this.__precision = numDecimals(_this.__impliedStep);\n return _this;\n }\n createClass(NumberController, [{\n key: 'setValue',\n value: function setValue(v) {\n var _v = v;\n if (this.__min !== undefined && _v < this.__min) {\n _v = this.__min;\n } else if (this.__max !== undefined && _v > this.__max) {\n _v = this.__max;\n }\n if (this.__step !== undefined && _v % this.__step !== 0) {\n _v = Math.round(_v / this.__step) * this.__step;\n }\n return get(NumberController.prototype.__proto__ || Object.getPrototypeOf(NumberController.prototype), 'setValue', this).call(this, _v);\n }\n }, {\n key: 'min',\n value: function min(minValue) {\n this.__min = minValue;\n return this;\n }\n }, {\n key: 'max',\n value: function max(maxValue) {\n this.__max = maxValue;\n return this;\n }\n }, {\n key: 'step',\n value: function step(stepValue) {\n this.__step = stepValue;\n this.__impliedStep = stepValue;\n this.__precision = numDecimals(stepValue);\n return this;\n }\n }]);\n return NumberController;\n}(Controller);\n\nfunction roundToDecimal(value, decimals) {\n var tenTo = Math.pow(10, decimals);\n return Math.round(value * tenTo) / tenTo;\n}\nvar NumberControllerBox = function (_NumberController) {\n inherits(NumberControllerBox, _NumberController);\n function NumberControllerBox(object, property, params) {\n classCallCheck(this, NumberControllerBox);\n var _this2 = possibleConstructorReturn(this, (NumberControllerBox.__proto__ || Object.getPrototypeOf(NumberControllerBox)).call(this, object, property, params));\n _this2.__truncationSuspended = false;\n var _this = _this2;\n var prevY = void 0;\n function onChange() {\n var attempted = parseFloat(_this.__input.value);\n if (!Common.isNaN(attempted)) {\n _this.setValue(attempted);\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onBlur() {\n onFinish();\n }\n function onMouseDrag(e) {\n var diff = prevY - e.clientY;\n _this.setValue(_this.getValue() + diff * _this.__impliedStep);\n prevY = e.clientY;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n onFinish();\n }\n function onMouseDown(e) {\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n prevY = e.clientY;\n }\n _this2.__input = document.createElement('input');\n _this2.__input.setAttribute('type', 'text');\n dom.bind(_this2.__input, 'change', onChange);\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__input, 'mousedown', onMouseDown);\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n _this.__truncationSuspended = true;\n this.blur();\n _this.__truncationSuspended = false;\n onFinish();\n }\n });\n _this2.updateDisplay();\n _this2.domElement.appendChild(_this2.__input);\n return _this2;\n }\n createClass(NumberControllerBox, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n this.__input.value = this.__truncationSuspended ? this.getValue() : roundToDecimal(this.getValue(), this.__precision);\n return get(NumberControllerBox.prototype.__proto__ || Object.getPrototypeOf(NumberControllerBox.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerBox;\n}(NumberController);\n\nfunction map(v, i1, i2, o1, o2) {\n return o1 + (o2 - o1) * ((v - i1) / (i2 - i1));\n}\nvar NumberControllerSlider = function (_NumberController) {\n inherits(NumberControllerSlider, _NumberController);\n function NumberControllerSlider(object, property, min, max, step) {\n classCallCheck(this, NumberControllerSlider);\n var _this2 = possibleConstructorReturn(this, (NumberControllerSlider.__proto__ || Object.getPrototypeOf(NumberControllerSlider)).call(this, object, property, { min: min, max: max, step: step }));\n var _this = _this2;\n _this2.__background = document.createElement('div');\n _this2.__foreground = document.createElement('div');\n dom.bind(_this2.__background, 'mousedown', onMouseDown);\n dom.bind(_this2.__background, 'touchstart', onTouchStart);\n dom.addClass(_this2.__background, 'slider');\n dom.addClass(_this2.__foreground, 'slider-fg');\n function onMouseDown(e) {\n document.activeElement.blur();\n dom.bind(window, 'mousemove', onMouseDrag);\n dom.bind(window, 'mouseup', onMouseUp);\n onMouseDrag(e);\n }\n function onMouseDrag(e) {\n e.preventDefault();\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(e.clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n return false;\n }\n function onMouseUp() {\n dom.unbind(window, 'mousemove', onMouseDrag);\n dom.unbind(window, 'mouseup', onMouseUp);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n function onTouchStart(e) {\n if (e.touches.length !== 1) {\n return;\n }\n dom.bind(window, 'touchmove', onTouchMove);\n dom.bind(window, 'touchend', onTouchEnd);\n onTouchMove(e);\n }\n function onTouchMove(e) {\n var clientX = e.touches[0].clientX;\n var bgRect = _this.__background.getBoundingClientRect();\n _this.setValue(map(clientX, bgRect.left, bgRect.right, _this.__min, _this.__max));\n }\n function onTouchEnd() {\n dom.unbind(window, 'touchmove', onTouchMove);\n dom.unbind(window, 'touchend', onTouchEnd);\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.getValue());\n }\n }\n _this2.updateDisplay();\n _this2.__background.appendChild(_this2.__foreground);\n _this2.domElement.appendChild(_this2.__background);\n return _this2;\n }\n createClass(NumberControllerSlider, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var pct = (this.getValue() - this.__min) / (this.__max - this.__min);\n this.__foreground.style.width = pct * 100 + '%';\n return get(NumberControllerSlider.prototype.__proto__ || Object.getPrototypeOf(NumberControllerSlider.prototype), 'updateDisplay', this).call(this);\n }\n }]);\n return NumberControllerSlider;\n}(NumberController);\n\nvar FunctionController = function (_Controller) {\n inherits(FunctionController, _Controller);\n function FunctionController(object, property, text) {\n classCallCheck(this, FunctionController);\n var _this2 = possibleConstructorReturn(this, (FunctionController.__proto__ || Object.getPrototypeOf(FunctionController)).call(this, object, property));\n var _this = _this2;\n _this2.__button = document.createElement('div');\n _this2.__button.innerHTML = text === undefined ? 'Fire' : text;\n dom.bind(_this2.__button, 'click', function (e) {\n e.preventDefault();\n _this.fire();\n return false;\n });\n dom.addClass(_this2.__button, 'button');\n _this2.domElement.appendChild(_this2.__button);\n return _this2;\n }\n createClass(FunctionController, [{\n key: 'fire',\n value: function fire() {\n if (this.__onChange) {\n this.__onChange.call(this);\n }\n this.getValue().call(this.object);\n if (this.__onFinishChange) {\n this.__onFinishChange.call(this, this.getValue());\n }\n }\n }]);\n return FunctionController;\n}(Controller);\n\nvar ColorController = function (_Controller) {\n inherits(ColorController, _Controller);\n function ColorController(object, property) {\n classCallCheck(this, ColorController);\n var _this2 = possibleConstructorReturn(this, (ColorController.__proto__ || Object.getPrototypeOf(ColorController)).call(this, object, property));\n _this2.__color = new Color(_this2.getValue());\n _this2.__temp = new Color(0);\n var _this = _this2;\n _this2.domElement = document.createElement('div');\n dom.makeSelectable(_this2.domElement, false);\n _this2.__selector = document.createElement('div');\n _this2.__selector.className = 'selector';\n _this2.__saturation_field = document.createElement('div');\n _this2.__saturation_field.className = 'saturation-field';\n _this2.__field_knob = document.createElement('div');\n _this2.__field_knob.className = 'field-knob';\n _this2.__field_knob_border = '2px solid ';\n _this2.__hue_knob = document.createElement('div');\n _this2.__hue_knob.className = 'hue-knob';\n _this2.__hue_field = document.createElement('div');\n _this2.__hue_field.className = 'hue-field';\n _this2.__input = document.createElement('input');\n _this2.__input.type = 'text';\n _this2.__input_textShadow = '0 1px 1px ';\n dom.bind(_this2.__input, 'keydown', function (e) {\n if (e.keyCode === 13) {\n onBlur.call(this);\n }\n });\n dom.bind(_this2.__input, 'blur', onBlur);\n dom.bind(_this2.__selector, 'mousedown', function () {\n dom.addClass(this, 'drag').bind(window, 'mouseup', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n dom.bind(_this2.__selector, 'touchstart', function () {\n dom.addClass(this, 'drag').bind(window, 'touchend', function () {\n dom.removeClass(_this.__selector, 'drag');\n });\n });\n var valueField = document.createElement('div');\n Common.extend(_this2.__selector.style, {\n width: '122px',\n height: '102px',\n padding: '3px',\n backgroundColor: '#222',\n boxShadow: '0px 1px 3px rgba(0,0,0,0.3)'\n });\n Common.extend(_this2.__field_knob.style, {\n position: 'absolute',\n width: '12px',\n height: '12px',\n border: _this2.__field_knob_border + (_this2.__color.v < 0.5 ? '#fff' : '#000'),\n boxShadow: '0px 1px 3px rgba(0,0,0,0.5)',\n borderRadius: '12px',\n zIndex: 1\n });\n Common.extend(_this2.__hue_knob.style, {\n position: 'absolute',\n width: '15px',\n height: '2px',\n borderRight: '4px solid #fff',\n zIndex: 1\n });\n Common.extend(_this2.__saturation_field.style, {\n width: '100px',\n height: '100px',\n border: '1px solid #555',\n marginRight: '3px',\n display: 'inline-block',\n cursor: 'pointer'\n });\n Common.extend(valueField.style, {\n width: '100%',\n height: '100%',\n background: 'none'\n });\n linearGradient(valueField, 'top', 'rgba(0,0,0,0)', '#000');\n Common.extend(_this2.__hue_field.style, {\n width: '15px',\n height: '100px',\n border: '1px solid #555',\n cursor: 'ns-resize',\n position: 'absolute',\n top: '3px',\n right: '3px'\n });\n hueGradient(_this2.__hue_field);\n Common.extend(_this2.__input.style, {\n outline: 'none',\n textAlign: 'center',\n color: '#fff',\n border: 0,\n fontWeight: 'bold',\n textShadow: _this2.__input_textShadow + 'rgba(0,0,0,0.7)'\n });\n dom.bind(_this2.__saturation_field, 'mousedown', fieldDown);\n dom.bind(_this2.__saturation_field, 'touchstart', fieldDown);\n dom.bind(_this2.__field_knob, 'mousedown', fieldDown);\n dom.bind(_this2.__field_knob, 'touchstart', fieldDown);\n dom.bind(_this2.__hue_field, 'mousedown', fieldDownH);\n dom.bind(_this2.__hue_field, 'touchstart', fieldDownH);\n function fieldDown(e) {\n setSV(e);\n dom.bind(window, 'mousemove', setSV);\n dom.bind(window, 'touchmove', setSV);\n dom.bind(window, 'mouseup', fieldUpSV);\n dom.bind(window, 'touchend', fieldUpSV);\n }\n function fieldDownH(e) {\n setH(e);\n dom.bind(window, 'mousemove', setH);\n dom.bind(window, 'touchmove', setH);\n dom.bind(window, 'mouseup', fieldUpH);\n dom.bind(window, 'touchend', fieldUpH);\n }\n function fieldUpSV() {\n dom.unbind(window, 'mousemove', setSV);\n dom.unbind(window, 'touchmove', setSV);\n dom.unbind(window, 'mouseup', fieldUpSV);\n dom.unbind(window, 'touchend', fieldUpSV);\n onFinish();\n }\n function fieldUpH() {\n dom.unbind(window, 'mousemove', setH);\n dom.unbind(window, 'touchmove', setH);\n dom.unbind(window, 'mouseup', fieldUpH);\n dom.unbind(window, 'touchend', fieldUpH);\n onFinish();\n }\n function onBlur() {\n var i = interpret(this.value);\n if (i !== false) {\n _this.__color.__state = i;\n _this.setValue(_this.__color.toOriginal());\n } else {\n this.value = _this.__color.toString();\n }\n }\n function onFinish() {\n if (_this.__onFinishChange) {\n _this.__onFinishChange.call(_this, _this.__color.toOriginal());\n }\n }\n _this2.__saturation_field.appendChild(valueField);\n _this2.__selector.appendChild(_this2.__field_knob);\n _this2.__selector.appendChild(_this2.__saturation_field);\n _this2.__selector.appendChild(_this2.__hue_field);\n _this2.__hue_field.appendChild(_this2.__hue_knob);\n _this2.domElement.appendChild(_this2.__input);\n _this2.domElement.appendChild(_this2.__selector);\n _this2.updateDisplay();\n function setSV(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__saturation_field.getBoundingClientRect();\n var _ref = e.touches && e.touches[0] || e,\n clientX = _ref.clientX,\n clientY = _ref.clientY;\n var s = (clientX - fieldRect.left) / (fieldRect.right - fieldRect.left);\n var v = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (v > 1) {\n v = 1;\n } else if (v < 0) {\n v = 0;\n }\n if (s > 1) {\n s = 1;\n } else if (s < 0) {\n s = 0;\n }\n _this.__color.v = v;\n _this.__color.s = s;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n function setH(e) {\n if (e.type.indexOf('touch') === -1) {\n e.preventDefault();\n }\n var fieldRect = _this.__hue_field.getBoundingClientRect();\n var _ref2 = e.touches && e.touches[0] || e,\n clientY = _ref2.clientY;\n var h = 1 - (clientY - fieldRect.top) / (fieldRect.bottom - fieldRect.top);\n if (h > 1) {\n h = 1;\n } else if (h < 0) {\n h = 0;\n }\n _this.__color.h = h * 360;\n _this.setValue(_this.__color.toOriginal());\n return false;\n }\n return _this2;\n }\n createClass(ColorController, [{\n key: 'updateDisplay',\n value: function updateDisplay() {\n var i = interpret(this.getValue());\n if (i !== false) {\n var mismatch = false;\n Common.each(Color.COMPONENTS, function (component) {\n if (!Common.isUndefined(i[component]) && !Common.isUndefined(this.__color.__state[component]) && i[component] !== this.__color.__state[component]) {\n mismatch = true;\n return {};\n }\n }, this);\n if (mismatch) {\n Common.extend(this.__color.__state, i);\n }\n }\n Common.extend(this.__temp.__state, this.__color.__state);\n this.__temp.a = 1;\n var flip = this.__color.v < 0.5 || this.__color.s > 0.5 ? 255 : 0;\n var _flip = 255 - flip;\n Common.extend(this.__field_knob.style, {\n marginLeft: 100 * this.__color.s - 7 + 'px',\n marginTop: 100 * (1 - this.__color.v) - 7 + 'px',\n backgroundColor: this.__temp.toHexString(),\n border: this.__field_knob_border + 'rgb(' + flip + ',' + flip + ',' + flip + ')'\n });\n this.__hue_knob.style.marginTop = (1 - this.__color.h / 360) * 100 + 'px';\n this.__temp.s = 1;\n this.__temp.v = 1;\n linearGradient(this.__saturation_field, 'left', '#fff', this.__temp.toHexString());\n this.__input.value = this.__color.toString();\n Common.extend(this.__input.style, {\n backgroundColor: this.__color.toHexString(),\n color: 'rgb(' + flip + ',' + flip + ',' + flip + ')',\n textShadow: this.__input_textShadow + 'rgba(' + _flip + ',' + _flip + ',' + _flip + ',.7)'\n });\n }\n }]);\n return ColorController;\n}(Controller);\nvar vendors = ['-moz-', '-o-', '-webkit-', '-ms-', ''];\nfunction linearGradient(elem, x, a, b) {\n elem.style.background = '';\n Common.each(vendors, function (vendor) {\n elem.style.cssText += 'background: ' + vendor + 'linear-gradient(' + x + ', ' + a + ' 0%, ' + b + ' 100%); ';\n });\n}\nfunction hueGradient(elem) {\n elem.style.background = '';\n elem.style.cssText += 'background: -moz-linear-gradient(top, #ff0000 0%, #ff00ff 17%, #0000ff 34%, #00ffff 50%, #00ff00 67%, #ffff00 84%, #ff0000 100%);';\n elem.style.cssText += 'background: -webkit-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -o-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: -ms-linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n elem.style.cssText += 'background: linear-gradient(top, #ff0000 0%,#ff00ff 17%,#0000ff 34%,#00ffff 50%,#00ff00 67%,#ffff00 84%,#ff0000 100%);';\n}\n\nvar css = {\n load: function load(url, indoc) {\n var doc = indoc || document;\n var link = doc.createElement('link');\n link.type = 'text/css';\n link.rel = 'stylesheet';\n link.href = url;\n doc.getElementsByTagName('head')[0].appendChild(link);\n },\n inject: function inject(cssContent, indoc) {\n var doc = indoc || document;\n var injected = document.createElement('style');\n injected.type = 'text/css';\n injected.innerHTML = cssContent;\n var head = doc.getElementsByTagName('head')[0];\n try {\n head.appendChild(injected);\n } catch (e) {\n }\n }\n};\n\nvar saveDialogContents = \"
\\n\\n Here's the new load parameter for your GUI's constructor:\\n\\n \\n\\n
\\n\\n Automatically save\\n values to localStorage on exit.\\n\\n
The values saved to localStorage will\\n override those passed to dat.GUI's constructor. This makes it\\n easier to work incrementally, but localStorage is fragile,\\n and your friends may not see the same values you do.\\n\\n
\\n\\n
\\n\\n
\";\n\nvar ControllerFactory = function ControllerFactory(object, property) {\n var initialValue = object[property];\n if (Common.isArray(arguments[2]) || Common.isObject(arguments[2])) {\n return new OptionController(object, property, arguments[2]);\n }\n if (Common.isNumber(initialValue)) {\n if (Common.isNumber(arguments[2]) && Common.isNumber(arguments[3])) {\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerSlider(object, property, arguments[2], arguments[3], arguments[4]);\n }\n return new NumberControllerSlider(object, property, arguments[2], arguments[3]);\n }\n if (Common.isNumber(arguments[4])) {\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3], step: arguments[4] });\n }\n return new NumberControllerBox(object, property, { min: arguments[2], max: arguments[3] });\n }\n if (Common.isString(initialValue)) {\n return new StringController(object, property);\n }\n if (Common.isFunction(initialValue)) {\n return new FunctionController(object, property, '');\n }\n if (Common.isBoolean(initialValue)) {\n return new BooleanController(object, property);\n }\n return null;\n};\n\nfunction requestAnimationFrame(callback) {\n setTimeout(callback, 1000 / 60);\n}\nvar requestAnimationFrame$1 = window.requestAnimationFrame || window.webkitRequestAnimationFrame || window.mozRequestAnimationFrame || window.oRequestAnimationFrame || window.msRequestAnimationFrame || requestAnimationFrame;\n\nvar CenteredDiv = function () {\n function CenteredDiv() {\n classCallCheck(this, CenteredDiv);\n this.backgroundElement = document.createElement('div');\n Common.extend(this.backgroundElement.style, {\n backgroundColor: 'rgba(0,0,0,0.8)',\n top: 0,\n left: 0,\n display: 'none',\n zIndex: '1000',\n opacity: 0,\n WebkitTransition: 'opacity 0.2s linear',\n transition: 'opacity 0.2s linear'\n });\n dom.makeFullscreen(this.backgroundElement);\n this.backgroundElement.style.position = 'fixed';\n this.domElement = document.createElement('div');\n Common.extend(this.domElement.style, {\n position: 'fixed',\n display: 'none',\n zIndex: '1001',\n opacity: 0,\n WebkitTransition: '-webkit-transform 0.2s ease-out, opacity 0.2s linear',\n transition: 'transform 0.2s ease-out, opacity 0.2s linear'\n });\n document.body.appendChild(this.backgroundElement);\n document.body.appendChild(this.domElement);\n var _this = this;\n dom.bind(this.backgroundElement, 'click', function () {\n _this.hide();\n });\n }\n createClass(CenteredDiv, [{\n key: 'show',\n value: function show() {\n var _this = this;\n this.backgroundElement.style.display = 'block';\n this.domElement.style.display = 'block';\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n this.layout();\n Common.defer(function () {\n _this.backgroundElement.style.opacity = 1;\n _this.domElement.style.opacity = 1;\n _this.domElement.style.webkitTransform = 'scale(1)';\n });\n }\n }, {\n key: 'hide',\n value: function hide() {\n var _this = this;\n var hide = function hide() {\n _this.domElement.style.display = 'none';\n _this.backgroundElement.style.display = 'none';\n dom.unbind(_this.domElement, 'webkitTransitionEnd', hide);\n dom.unbind(_this.domElement, 'transitionend', hide);\n dom.unbind(_this.domElement, 'oTransitionEnd', hide);\n };\n dom.bind(this.domElement, 'webkitTransitionEnd', hide);\n dom.bind(this.domElement, 'transitionend', hide);\n dom.bind(this.domElement, 'oTransitionEnd', hide);\n this.backgroundElement.style.opacity = 0;\n this.domElement.style.opacity = 0;\n this.domElement.style.webkitTransform = 'scale(1.1)';\n }\n }, {\n key: 'layout',\n value: function layout() {\n this.domElement.style.left = window.innerWidth / 2 - dom.getWidth(this.domElement) / 2 + 'px';\n this.domElement.style.top = window.innerHeight / 2 - dom.getHeight(this.domElement) / 2 + 'px';\n }\n }]);\n return CenteredDiv;\n}();\n\nvar styleSheet = ___$insertStyle(\".dg ul{list-style:none;margin:0;padding:0;width:100%;clear:both}.dg.ac{position:fixed;top:0;left:0;right:0;height:0;z-index:0}.dg:not(.ac) .main{overflow:hidden}.dg.main{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear}.dg.main.taller-than-window{overflow-y:auto}.dg.main.taller-than-window .close-button{opacity:1;margin-top:-1px;border-top:1px solid #2c2c2c}.dg.main ul.closed .close-button{opacity:1 !important}.dg.main:hover .close-button,.dg.main .close-button.drag{opacity:1}.dg.main .close-button{-webkit-transition:opacity .1s linear;-o-transition:opacity .1s linear;-moz-transition:opacity .1s linear;transition:opacity .1s linear;border:0;line-height:19px;height:20px;cursor:pointer;text-align:center;background-color:#000}.dg.main .close-button.close-top{position:relative}.dg.main .close-button.close-bottom{position:absolute}.dg.main .close-button:hover{background-color:#111}.dg.a{float:right;margin-right:15px;overflow-y:visible}.dg.a.has-save>ul.close-top{margin-top:0}.dg.a.has-save>ul.close-bottom{margin-top:27px}.dg.a.has-save>ul.closed{margin-top:0}.dg.a .save-row{top:0;z-index:1002}.dg.a .save-row.close-top{position:relative}.dg.a .save-row.close-bottom{position:fixed}.dg li{-webkit-transition:height .1s ease-out;-o-transition:height .1s ease-out;-moz-transition:height .1s ease-out;transition:height .1s ease-out;-webkit-transition:overflow .1s linear;-o-transition:overflow .1s linear;-moz-transition:overflow .1s linear;transition:overflow .1s linear}.dg li:not(.folder){cursor:auto;height:27px;line-height:27px;padding:0 4px 0 5px}.dg li.folder{padding:0;border-left:4px solid rgba(0,0,0,0)}.dg li.title{cursor:pointer;margin-left:-4px}.dg .closed li:not(.title),.dg .closed ul li,.dg .closed ul li>*{height:0;overflow:hidden;border:0}.dg .cr{clear:both;padding-left:3px;height:27px;overflow:hidden}.dg .property-name{cursor:default;float:left;clear:left;width:40%;overflow:hidden;text-overflow:ellipsis}.dg .cr.function .property-name{width:100%}.dg .c{float:left;width:60%;position:relative}.dg .c input[type=text]{border:0;margin-top:4px;padding:3px;width:100%;float:right}.dg .has-slider input[type=text]{width:30%;margin-left:0}.dg .slider{float:left;width:66%;margin-left:-5px;margin-right:0;height:19px;margin-top:4px}.dg .slider-fg{height:100%}.dg .c input[type=checkbox]{margin-top:7px}.dg .c select{margin-top:5px}.dg .cr.function,.dg .cr.function .property-name,.dg .cr.function *,.dg .cr.boolean,.dg .cr.boolean *{cursor:pointer}.dg .cr.color{overflow:visible}.dg .selector{display:none;position:absolute;margin-left:-9px;margin-top:23px;z-index:10}.dg .c:hover .selector,.dg .selector.drag{display:block}.dg li.save-row{padding:0}.dg li.save-row .button{display:inline-block;padding:0px 6px}.dg.dialogue{background-color:#222;width:460px;padding:15px;font-size:13px;line-height:15px}#dg-new-constructor{padding:10px;color:#222;font-family:Monaco, monospace;font-size:10px;border:0;resize:none;box-shadow:inset 1px 1px 1px #888;word-wrap:break-word;margin:12px 0;display:block;width:440px;overflow-y:scroll;height:100px;position:relative}#dg-local-explain{display:none;font-size:11px;line-height:17px;border-radius:3px;background-color:#333;padding:8px;margin-top:10px}#dg-local-explain code{font-size:10px}#dat-gui-save-locally{display:none}.dg{color:#eee;font:11px 'Lucida Grande', sans-serif;text-shadow:0 -1px 0 #111}.dg.main::-webkit-scrollbar{width:5px;background:#1a1a1a}.dg.main::-webkit-scrollbar-corner{height:0;display:none}.dg.main::-webkit-scrollbar-thumb{border-radius:5px;background:#676767}.dg li:not(.folder){background:#1a1a1a;border-bottom:1px solid #2c2c2c}.dg li.save-row{line-height:25px;background:#dad5cb;border:0}.dg li.save-row select{margin-left:5px;width:108px}.dg li.save-row .button{margin-left:5px;margin-top:1px;border-radius:2px;font-size:9px;line-height:7px;padding:4px 4px 5px 4px;background:#c5bdad;color:#fff;text-shadow:0 1px 0 #b0a58f;box-shadow:0 -1px 0 #b0a58f;cursor:pointer}.dg li.save-row .button.gears{background:#c5bdad url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAAGXRFWHRTb2Z0d2FyZQBBZG9iZSBJbWFnZVJlYWR5ccllPAAAAQJJREFUeNpiYKAU/P//PwGIC/ApCABiBSAW+I8AClAcgKxQ4T9hoMAEUrxx2QSGN6+egDX+/vWT4e7N82AMYoPAx/evwWoYoSYbACX2s7KxCxzcsezDh3evFoDEBYTEEqycggWAzA9AuUSQQgeYPa9fPv6/YWm/Acx5IPb7ty/fw+QZblw67vDs8R0YHyQhgObx+yAJkBqmG5dPPDh1aPOGR/eugW0G4vlIoTIfyFcA+QekhhHJhPdQxbiAIguMBTQZrPD7108M6roWYDFQiIAAv6Aow/1bFwXgis+f2LUAynwoIaNcz8XNx3Dl7MEJUDGQpx9gtQ8YCueB+D26OECAAQDadt7e46D42QAAAABJRU5ErkJggg==) 2px 1px no-repeat;height:7px;width:8px}.dg li.save-row .button:hover{background-color:#bab19e;box-shadow:0 -1px 0 #b0a58f}.dg li.folder{border-bottom:0}.dg li.title{padding-left:16px;background:#000 url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlI+hKgFxoCgAOw==) 6px 10px no-repeat;cursor:pointer;border-bottom:1px solid rgba(255,255,255,0.2)}.dg .closed li.title{background-image:url(data:image/gif;base64,R0lGODlhBQAFAJEAAP////Pz8////////yH5BAEAAAIALAAAAAAFAAUAAAIIlGIWqMCbWAEAOw==)}.dg .cr.boolean{border-left:3px solid #806787}.dg .cr.color{border-left:3px solid}.dg .cr.function{border-left:3px solid #e61d5f}.dg .cr.number{border-left:3px solid #2FA1D6}.dg .cr.number input[type=text]{color:#2FA1D6}.dg .cr.string{border-left:3px solid #1ed36f}.dg .cr.string input[type=text]{color:#1ed36f}.dg .cr.function:hover,.dg .cr.boolean:hover{background:#111}.dg .c input[type=text]{background:#303030;outline:none}.dg .c input[type=text]:hover{background:#3c3c3c}.dg .c input[type=text]:focus{background:#494949;color:#fff}.dg .c .slider{background:#303030;cursor:ew-resize}.dg .c .slider-fg{background:#2FA1D6;max-width:100%}.dg .c .slider:hover{background:#3c3c3c}.dg .c .slider:hover .slider-fg{background:#44abda}\\n\");\n\ncss.inject(styleSheet);\nvar CSS_NAMESPACE = 'dg';\nvar HIDE_KEY_CODE = 72;\nvar CLOSE_BUTTON_HEIGHT = 20;\nvar DEFAULT_DEFAULT_PRESET_NAME = 'Default';\nvar SUPPORTS_LOCAL_STORAGE = function () {\n try {\n return !!window.localStorage;\n } catch (e) {\n return false;\n }\n}();\nvar SAVE_DIALOGUE = void 0;\nvar autoPlaceVirgin = true;\nvar autoPlaceContainer = void 0;\nvar hide = false;\nvar hideableGuis = [];\nvar GUI = function GUI(pars) {\n var _this = this;\n var params = pars || {};\n this.domElement = document.createElement('div');\n this.__ul = document.createElement('ul');\n this.domElement.appendChild(this.__ul);\n dom.addClass(this.domElement, CSS_NAMESPACE);\n this.__folders = {};\n this.__controllers = [];\n this.__rememberedObjects = [];\n this.__rememberedObjectIndecesToControllers = [];\n this.__listening = [];\n params = Common.defaults(params, {\n closeOnTop: false,\n autoPlace: true,\n width: GUI.DEFAULT_WIDTH\n });\n params = Common.defaults(params, {\n resizable: params.autoPlace,\n hideable: params.autoPlace\n });\n if (!Common.isUndefined(params.load)) {\n if (params.preset) {\n params.load.preset = params.preset;\n }\n } else {\n params.load = { preset: DEFAULT_DEFAULT_PRESET_NAME };\n }\n if (Common.isUndefined(params.parent) && params.hideable) {\n hideableGuis.push(this);\n }\n params.resizable = Common.isUndefined(params.parent) && params.resizable;\n if (params.autoPlace && Common.isUndefined(params.scrollable)) {\n params.scrollable = true;\n }\n var useLocalStorage = SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(this, 'isLocal')) === 'true';\n var saveToLocalStorage = void 0;\n var titleRow = void 0;\n Object.defineProperties(this,\n {\n parent: {\n get: function get$$1() {\n return params.parent;\n }\n },\n scrollable: {\n get: function get$$1() {\n return params.scrollable;\n }\n },\n autoPlace: {\n get: function get$$1() {\n return params.autoPlace;\n }\n },\n closeOnTop: {\n get: function get$$1() {\n return params.closeOnTop;\n }\n },\n preset: {\n get: function get$$1() {\n if (_this.parent) {\n return _this.getRoot().preset;\n }\n return params.load.preset;\n },\n set: function set$$1(v) {\n if (_this.parent) {\n _this.getRoot().preset = v;\n } else {\n params.load.preset = v;\n }\n setPresetSelectIndex(this);\n _this.revert();\n }\n },\n width: {\n get: function get$$1() {\n return params.width;\n },\n set: function set$$1(v) {\n params.width = v;\n setWidth(_this, v);\n }\n },\n name: {\n get: function get$$1() {\n return params.name;\n },\n set: function set$$1(v) {\n params.name = v;\n if (titleRow) {\n titleRow.innerHTML = params.name;\n }\n }\n },\n closed: {\n get: function get$$1() {\n return params.closed;\n },\n set: function set$$1(v) {\n params.closed = v;\n if (params.closed) {\n dom.addClass(_this.__ul, GUI.CLASS_CLOSED);\n } else {\n dom.removeClass(_this.__ul, GUI.CLASS_CLOSED);\n }\n this.onResize();\n if (_this.__closeButton) {\n _this.__closeButton.innerHTML = v ? GUI.TEXT_OPEN : GUI.TEXT_CLOSED;\n }\n }\n },\n load: {\n get: function get$$1() {\n return params.load;\n }\n },\n useLocalStorage: {\n get: function get$$1() {\n return useLocalStorage;\n },\n set: function set$$1(bool) {\n if (SUPPORTS_LOCAL_STORAGE) {\n useLocalStorage = bool;\n if (bool) {\n dom.bind(window, 'unload', saveToLocalStorage);\n } else {\n dom.unbind(window, 'unload', saveToLocalStorage);\n }\n localStorage.setItem(getLocalStorageHash(_this, 'isLocal'), bool);\n }\n }\n }\n });\n if (Common.isUndefined(params.parent)) {\n this.closed = params.closed || false;\n dom.addClass(this.domElement, GUI.CLASS_MAIN);\n dom.makeSelectable(this.domElement, false);\n if (SUPPORTS_LOCAL_STORAGE) {\n if (useLocalStorage) {\n _this.useLocalStorage = true;\n var savedGui = localStorage.getItem(getLocalStorageHash(this, 'gui'));\n if (savedGui) {\n params.load = JSON.parse(savedGui);\n }\n }\n }\n this.__closeButton = document.createElement('div');\n this.__closeButton.innerHTML = GUI.TEXT_CLOSED;\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BUTTON);\n if (params.closeOnTop) {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_TOP);\n this.domElement.insertBefore(this.__closeButton, this.domElement.childNodes[0]);\n } else {\n dom.addClass(this.__closeButton, GUI.CLASS_CLOSE_BOTTOM);\n this.domElement.appendChild(this.__closeButton);\n }\n dom.bind(this.__closeButton, 'click', function () {\n _this.closed = !_this.closed;\n });\n } else {\n if (params.closed === undefined) {\n params.closed = true;\n }\n var titleRowName = document.createTextNode(params.name);\n dom.addClass(titleRowName, 'controller-name');\n titleRow = addRow(_this, titleRowName);\n var onClickTitle = function onClickTitle(e) {\n e.preventDefault();\n _this.closed = !_this.closed;\n return false;\n };\n dom.addClass(this.__ul, GUI.CLASS_CLOSED);\n dom.addClass(titleRow, 'title');\n dom.bind(titleRow, 'click', onClickTitle);\n if (!params.closed) {\n this.closed = false;\n }\n }\n if (params.autoPlace) {\n if (Common.isUndefined(params.parent)) {\n if (autoPlaceVirgin) {\n autoPlaceContainer = document.createElement('div');\n dom.addClass(autoPlaceContainer, CSS_NAMESPACE);\n dom.addClass(autoPlaceContainer, GUI.CLASS_AUTO_PLACE_CONTAINER);\n document.body.appendChild(autoPlaceContainer);\n autoPlaceVirgin = false;\n }\n autoPlaceContainer.appendChild(this.domElement);\n dom.addClass(this.domElement, GUI.CLASS_AUTO_PLACE);\n }\n if (!this.parent) {\n setWidth(_this, params.width);\n }\n }\n this.__resizeHandler = function () {\n _this.onResizeDebounced();\n };\n dom.bind(window, 'resize', this.__resizeHandler);\n dom.bind(this.__ul, 'webkitTransitionEnd', this.__resizeHandler);\n dom.bind(this.__ul, 'transitionend', this.__resizeHandler);\n dom.bind(this.__ul, 'oTransitionEnd', this.__resizeHandler);\n this.onResize();\n if (params.resizable) {\n addResizeHandle(this);\n }\n saveToLocalStorage = function saveToLocalStorage() {\n if (SUPPORTS_LOCAL_STORAGE && localStorage.getItem(getLocalStorageHash(_this, 'isLocal')) === 'true') {\n localStorage.setItem(getLocalStorageHash(_this, 'gui'), JSON.stringify(_this.getSaveObject()));\n }\n };\n this.saveToLocalStorageIfPossible = saveToLocalStorage;\n function resetWidth() {\n var root = _this.getRoot();\n root.width += 1;\n Common.defer(function () {\n root.width -= 1;\n });\n }\n if (!params.parent) {\n resetWidth();\n }\n};\nGUI.toggleHide = function () {\n hide = !hide;\n Common.each(hideableGuis, function (gui) {\n gui.domElement.style.display = hide ? 'none' : '';\n });\n};\nGUI.CLASS_AUTO_PLACE = 'a';\nGUI.CLASS_AUTO_PLACE_CONTAINER = 'ac';\nGUI.CLASS_MAIN = 'main';\nGUI.CLASS_CONTROLLER_ROW = 'cr';\nGUI.CLASS_TOO_TALL = 'taller-than-window';\nGUI.CLASS_CLOSED = 'closed';\nGUI.CLASS_CLOSE_BUTTON = 'close-button';\nGUI.CLASS_CLOSE_TOP = 'close-top';\nGUI.CLASS_CLOSE_BOTTOM = 'close-bottom';\nGUI.CLASS_DRAG = 'drag';\nGUI.DEFAULT_WIDTH = 245;\nGUI.TEXT_CLOSED = 'Close Controls';\nGUI.TEXT_OPEN = 'Open Controls';\nGUI._keydownHandler = function (e) {\n if (document.activeElement.type !== 'text' && (e.which === HIDE_KEY_CODE || e.keyCode === HIDE_KEY_CODE)) {\n GUI.toggleHide();\n }\n};\ndom.bind(window, 'keydown', GUI._keydownHandler, false);\nCommon.extend(GUI.prototype,\n{\n add: function add(object, property) {\n return _add(this, object, property, {\n factoryArgs: Array.prototype.slice.call(arguments, 2)\n });\n },\n addColor: function addColor(object, property) {\n return _add(this, object, property, {\n color: true\n });\n },\n remove: function remove(controller) {\n this.__ul.removeChild(controller.__li);\n this.__controllers.splice(this.__controllers.indexOf(controller), 1);\n var _this = this;\n Common.defer(function () {\n _this.onResize();\n });\n },\n destroy: function destroy() {\n if (this.parent) {\n throw new Error('Only the root GUI should be removed with .destroy(). ' + 'For subfolders, use gui.removeFolder(folder) instead.');\n }\n if (this.autoPlace) {\n autoPlaceContainer.removeChild(this.domElement);\n }\n var _this = this;\n Common.each(this.__folders, function (subfolder) {\n _this.removeFolder(subfolder);\n });\n dom.unbind(window, 'keydown', GUI._keydownHandler, false);\n removeListeners(this);\n },\n addFolder: function addFolder(name) {\n if (this.__folders[name] !== undefined) {\n throw new Error('You already have a folder in this GUI by the' + ' name \"' + name + '\"');\n }\n var newGuiParams = { name: name, parent: this };\n newGuiParams.autoPlace = this.autoPlace;\n if (this.load &&\n this.load.folders &&\n this.load.folders[name]) {\n newGuiParams.closed = this.load.folders[name].closed;\n newGuiParams.load = this.load.folders[name];\n }\n var gui = new GUI(newGuiParams);\n this.__folders[name] = gui;\n var li = addRow(this, gui.domElement);\n dom.addClass(li, 'folder');\n return gui;\n },\n removeFolder: function removeFolder(folder) {\n this.__ul.removeChild(folder.domElement.parentElement);\n delete this.__folders[folder.name];\n if (this.load &&\n this.load.folders &&\n this.load.folders[folder.name]) {\n delete this.load.folders[folder.name];\n }\n removeListeners(folder);\n var _this = this;\n Common.each(folder.__folders, function (subfolder) {\n folder.removeFolder(subfolder);\n });\n Common.defer(function () {\n _this.onResize();\n });\n },\n open: function open() {\n this.closed = false;\n },\n close: function close() {\n this.closed = true;\n },\n hide: function hide() {\n this.domElement.style.display = 'none';\n },\n show: function show() {\n this.domElement.style.display = '';\n },\n onResize: function onResize() {\n var root = this.getRoot();\n if (root.scrollable) {\n var top = dom.getOffset(root.__ul).top;\n var h = 0;\n Common.each(root.__ul.childNodes, function (node) {\n if (!(root.autoPlace && node === root.__save_row)) {\n h += dom.getHeight(node);\n }\n });\n if (window.innerHeight - top - CLOSE_BUTTON_HEIGHT < h) {\n dom.addClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = window.innerHeight - top - CLOSE_BUTTON_HEIGHT + 'px';\n } else {\n dom.removeClass(root.domElement, GUI.CLASS_TOO_TALL);\n root.__ul.style.height = 'auto';\n }\n }\n if (root.__resize_handle) {\n Common.defer(function () {\n root.__resize_handle.style.height = root.__ul.offsetHeight + 'px';\n });\n }\n if (root.__closeButton) {\n root.__closeButton.style.width = root.width + 'px';\n }\n },\n onResizeDebounced: Common.debounce(function () {\n this.onResize();\n }, 50),\n remember: function remember() {\n if (Common.isUndefined(SAVE_DIALOGUE)) {\n SAVE_DIALOGUE = new CenteredDiv();\n SAVE_DIALOGUE.domElement.innerHTML = saveDialogContents;\n }\n if (this.parent) {\n throw new Error('You can only call remember on a top level GUI.');\n }\n var _this = this;\n Common.each(Array.prototype.slice.call(arguments), function (object) {\n if (_this.__rememberedObjects.length === 0) {\n addSaveMenu(_this);\n }\n if (_this.__rememberedObjects.indexOf(object) === -1) {\n _this.__rememberedObjects.push(object);\n }\n });\n if (this.autoPlace) {\n setWidth(this, this.width);\n }\n },\n getRoot: function getRoot() {\n var gui = this;\n while (gui.parent) {\n gui = gui.parent;\n }\n return gui;\n },\n getSaveObject: function getSaveObject() {\n var toReturn = this.load;\n toReturn.closed = this.closed;\n if (this.__rememberedObjects.length > 0) {\n toReturn.preset = this.preset;\n if (!toReturn.remembered) {\n toReturn.remembered = {};\n }\n toReturn.remembered[this.preset] = getCurrentPreset(this);\n }\n toReturn.folders = {};\n Common.each(this.__folders, function (element, key) {\n toReturn.folders[key] = element.getSaveObject();\n });\n return toReturn;\n },\n save: function save() {\n if (!this.load.remembered) {\n this.load.remembered = {};\n }\n this.load.remembered[this.preset] = getCurrentPreset(this);\n markPresetModified(this, false);\n this.saveToLocalStorageIfPossible();\n },\n saveAs: function saveAs(presetName) {\n if (!this.load.remembered) {\n this.load.remembered = {};\n this.load.remembered[DEFAULT_DEFAULT_PRESET_NAME] = getCurrentPreset(this, true);\n }\n this.load.remembered[presetName] = getCurrentPreset(this);\n this.preset = presetName;\n addPresetOption(this, presetName, true);\n this.saveToLocalStorageIfPossible();\n },\n revert: function revert(gui) {\n Common.each(this.__controllers, function (controller) {\n if (!this.getRoot().load.remembered) {\n controller.setValue(controller.initialValue);\n } else {\n recallSavedValue(gui || this.getRoot(), controller);\n }\n if (controller.__onFinishChange) {\n controller.__onFinishChange.call(controller, controller.getValue());\n }\n }, this);\n Common.each(this.__folders, function (folder) {\n folder.revert(folder);\n });\n if (!gui) {\n markPresetModified(this.getRoot(), false);\n }\n },\n listen: function listen(controller) {\n var init = this.__listening.length === 0;\n this.__listening.push(controller);\n if (init) {\n updateDisplays(this.__listening);\n }\n },\n updateDisplay: function updateDisplay() {\n Common.each(this.__controllers, function (controller) {\n controller.updateDisplay();\n });\n Common.each(this.__folders, function (folder) {\n folder.updateDisplay();\n });\n }\n});\nfunction addRow(gui, newDom, liBefore) {\n var li = document.createElement('li');\n if (newDom) {\n li.appendChild(newDom);\n }\n if (liBefore) {\n gui.__ul.insertBefore(li, liBefore);\n } else {\n gui.__ul.appendChild(li);\n }\n gui.onResize();\n return li;\n}\nfunction removeListeners(gui) {\n dom.unbind(window, 'resize', gui.__resizeHandler);\n if (gui.saveToLocalStorageIfPossible) {\n dom.unbind(window, 'unload', gui.saveToLocalStorageIfPossible);\n }\n}\nfunction markPresetModified(gui, modified) {\n var opt = gui.__preset_select[gui.__preset_select.selectedIndex];\n if (modified) {\n opt.innerHTML = opt.value + '*';\n } else {\n opt.innerHTML = opt.value;\n }\n}\nfunction augmentController(gui, li, controller) {\n controller.__li = li;\n controller.__gui = gui;\n Common.extend(controller, {\n options: function options(_options) {\n if (arguments.length > 1) {\n var nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: nextSibling,\n factoryArgs: [Common.toArray(arguments)]\n });\n }\n if (Common.isArray(_options) || Common.isObject(_options)) {\n var _nextSibling = controller.__li.nextElementSibling;\n controller.remove();\n return _add(gui, controller.object, controller.property, {\n before: _nextSibling,\n factoryArgs: [_options]\n });\n }\n },\n name: function name(_name) {\n controller.__li.firstElementChild.firstElementChild.innerHTML = _name;\n return controller;\n },\n listen: function listen() {\n controller.__gui.listen(controller);\n return controller;\n },\n remove: function remove() {\n controller.__gui.remove(controller);\n return controller;\n }\n });\n if (controller instanceof NumberControllerSlider) {\n var box = new NumberControllerBox(controller.object, controller.property, { min: controller.__min, max: controller.__max, step: controller.__step });\n Common.each(['updateDisplay', 'onChange', 'onFinishChange', 'step', 'min', 'max'], function (method) {\n var pc = controller[method];\n var pb = box[method];\n controller[method] = box[method] = function () {\n var args = Array.prototype.slice.call(arguments);\n pb.apply(box, args);\n return pc.apply(controller, args);\n };\n });\n dom.addClass(li, 'has-slider');\n controller.domElement.insertBefore(box.domElement, controller.domElement.firstElementChild);\n } else if (controller instanceof NumberControllerBox) {\n var r = function r(returned) {\n if (Common.isNumber(controller.__min) && Common.isNumber(controller.__max)) {\n var oldName = controller.__li.firstElementChild.firstElementChild.innerHTML;\n var wasListening = controller.__gui.__listening.indexOf(controller) > -1;\n controller.remove();\n var newController = _add(gui, controller.object, controller.property, {\n before: controller.__li.nextElementSibling,\n factoryArgs: [controller.__min, controller.__max, controller.__step]\n });\n newController.name(oldName);\n if (wasListening) newController.listen();\n return newController;\n }\n return returned;\n };\n controller.min = Common.compose(r, controller.min);\n controller.max = Common.compose(r, controller.max);\n } else if (controller instanceof BooleanController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__checkbox, 'click');\n });\n dom.bind(controller.__checkbox, 'click', function (e) {\n e.stopPropagation();\n });\n } else if (controller instanceof FunctionController) {\n dom.bind(li, 'click', function () {\n dom.fakeEvent(controller.__button, 'click');\n });\n dom.bind(li, 'mouseover', function () {\n dom.addClass(controller.__button, 'hover');\n });\n dom.bind(li, 'mouseout', function () {\n dom.removeClass(controller.__button, 'hover');\n });\n } else if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n controller.updateDisplay = Common.compose(function (val) {\n li.style.borderLeftColor = controller.__color.toString();\n return val;\n }, controller.updateDisplay);\n controller.updateDisplay();\n }\n controller.setValue = Common.compose(function (val) {\n if (gui.getRoot().__preset_select && controller.isModified()) {\n markPresetModified(gui.getRoot(), true);\n }\n return val;\n }, controller.setValue);\n}\nfunction recallSavedValue(gui, controller) {\n var root = gui.getRoot();\n var matchedIndex = root.__rememberedObjects.indexOf(controller.object);\n if (matchedIndex !== -1) {\n var controllerMap = root.__rememberedObjectIndecesToControllers[matchedIndex];\n if (controllerMap === undefined) {\n controllerMap = {};\n root.__rememberedObjectIndecesToControllers[matchedIndex] = controllerMap;\n }\n controllerMap[controller.property] = controller;\n if (root.load && root.load.remembered) {\n var presetMap = root.load.remembered;\n var preset = void 0;\n if (presetMap[gui.preset]) {\n preset = presetMap[gui.preset];\n } else if (presetMap[DEFAULT_DEFAULT_PRESET_NAME]) {\n preset = presetMap[DEFAULT_DEFAULT_PRESET_NAME];\n } else {\n return;\n }\n if (preset[matchedIndex] && preset[matchedIndex][controller.property] !== undefined) {\n var value = preset[matchedIndex][controller.property];\n controller.initialValue = value;\n controller.setValue(value);\n }\n }\n }\n}\nfunction _add(gui, object, property, params) {\n if (object[property] === undefined) {\n throw new Error('Object \"' + object + '\" has no property \"' + property + '\"');\n }\n var controller = void 0;\n if (params.color) {\n controller = new ColorController(object, property);\n } else {\n var factoryArgs = [object, property].concat(params.factoryArgs);\n controller = ControllerFactory.apply(gui, factoryArgs);\n }\n if (params.before instanceof Controller) {\n params.before = params.before.__li;\n }\n recallSavedValue(gui, controller);\n dom.addClass(controller.domElement, 'c');\n var name = document.createElement('span');\n dom.addClass(name, 'property-name');\n name.innerHTML = controller.property;\n var container = document.createElement('div');\n container.appendChild(name);\n container.appendChild(controller.domElement);\n var li = addRow(gui, container, params.before);\n dom.addClass(li, GUI.CLASS_CONTROLLER_ROW);\n if (controller instanceof ColorController) {\n dom.addClass(li, 'color');\n } else {\n dom.addClass(li, _typeof(controller.getValue()));\n }\n augmentController(gui, li, controller);\n gui.__controllers.push(controller);\n return controller;\n}\nfunction getLocalStorageHash(gui, key) {\n return document.location.href + '.' + key;\n}\nfunction addPresetOption(gui, name, setSelected) {\n var opt = document.createElement('option');\n opt.innerHTML = name;\n opt.value = name;\n gui.__preset_select.appendChild(opt);\n if (setSelected) {\n gui.__preset_select.selectedIndex = gui.__preset_select.length - 1;\n }\n}\nfunction showHideExplain(gui, explain) {\n explain.style.display = gui.useLocalStorage ? 'block' : 'none';\n}\nfunction addSaveMenu(gui) {\n var div = gui.__save_row = document.createElement('li');\n dom.addClass(gui.domElement, 'has-save');\n gui.__ul.insertBefore(div, gui.__ul.firstChild);\n dom.addClass(div, 'save-row');\n var gears = document.createElement('span');\n gears.innerHTML = ' ';\n dom.addClass(gears, 'button gears');\n var button = document.createElement('span');\n button.innerHTML = 'Save';\n dom.addClass(button, 'button');\n dom.addClass(button, 'save');\n var button2 = document.createElement('span');\n button2.innerHTML = 'New';\n dom.addClass(button2, 'button');\n dom.addClass(button2, 'save-as');\n var button3 = document.createElement('span');\n button3.innerHTML = 'Revert';\n dom.addClass(button3, 'button');\n dom.addClass(button3, 'revert');\n var select = gui.__preset_select = document.createElement('select');\n if (gui.load && gui.load.remembered) {\n Common.each(gui.load.remembered, function (value, key) {\n addPresetOption(gui, key, key === gui.preset);\n });\n } else {\n addPresetOption(gui, DEFAULT_DEFAULT_PRESET_NAME, false);\n }\n dom.bind(select, 'change', function () {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n gui.__preset_select[index].innerHTML = gui.__preset_select[index].value;\n }\n gui.preset = this.value;\n });\n div.appendChild(select);\n div.appendChild(gears);\n div.appendChild(button);\n div.appendChild(button2);\n div.appendChild(button3);\n if (SUPPORTS_LOCAL_STORAGE) {\n var explain = document.getElementById('dg-local-explain');\n var localStorageCheckBox = document.getElementById('dg-local-storage');\n var saveLocally = document.getElementById('dg-save-locally');\n saveLocally.style.display = 'block';\n if (localStorage.getItem(getLocalStorageHash(gui, 'isLocal')) === 'true') {\n localStorageCheckBox.setAttribute('checked', 'checked');\n }\n showHideExplain(gui, explain);\n dom.bind(localStorageCheckBox, 'change', function () {\n gui.useLocalStorage = !gui.useLocalStorage;\n showHideExplain(gui, explain);\n });\n }\n var newConstructorTextArea = document.getElementById('dg-new-constructor');\n dom.bind(newConstructorTextArea, 'keydown', function (e) {\n if (e.metaKey && (e.which === 67 || e.keyCode === 67)) {\n SAVE_DIALOGUE.hide();\n }\n });\n dom.bind(gears, 'click', function () {\n newConstructorTextArea.innerHTML = JSON.stringify(gui.getSaveObject(), undefined, 2);\n SAVE_DIALOGUE.show();\n newConstructorTextArea.focus();\n newConstructorTextArea.select();\n });\n dom.bind(button, 'click', function () {\n gui.save();\n });\n dom.bind(button2, 'click', function () {\n var presetName = prompt('Enter a new preset name.');\n if (presetName) {\n gui.saveAs(presetName);\n }\n });\n dom.bind(button3, 'click', function () {\n gui.revert();\n });\n}\nfunction addResizeHandle(gui) {\n var pmouseX = void 0;\n gui.__resize_handle = document.createElement('div');\n Common.extend(gui.__resize_handle.style, {\n width: '6px',\n marginLeft: '-3px',\n height: '200px',\n cursor: 'ew-resize',\n position: 'absolute'\n });\n function drag(e) {\n e.preventDefault();\n gui.width += pmouseX - e.clientX;\n gui.onResize();\n pmouseX = e.clientX;\n return false;\n }\n function dragStop() {\n dom.removeClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.unbind(window, 'mousemove', drag);\n dom.unbind(window, 'mouseup', dragStop);\n }\n function dragStart(e) {\n e.preventDefault();\n pmouseX = e.clientX;\n dom.addClass(gui.__closeButton, GUI.CLASS_DRAG);\n dom.bind(window, 'mousemove', drag);\n dom.bind(window, 'mouseup', dragStop);\n return false;\n }\n dom.bind(gui.__resize_handle, 'mousedown', dragStart);\n dom.bind(gui.__closeButton, 'mousedown', dragStart);\n gui.domElement.insertBefore(gui.__resize_handle, gui.domElement.firstElementChild);\n}\nfunction setWidth(gui, w) {\n gui.domElement.style.width = w + 'px';\n if (gui.__save_row && gui.autoPlace) {\n gui.__save_row.style.width = w + 'px';\n }\n if (gui.__closeButton) {\n gui.__closeButton.style.width = w + 'px';\n }\n}\nfunction getCurrentPreset(gui, useInitialValues) {\n var toReturn = {};\n Common.each(gui.__rememberedObjects, function (val, index) {\n var savedValues = {};\n var controllerMap = gui.__rememberedObjectIndecesToControllers[index];\n Common.each(controllerMap, function (controller, property) {\n savedValues[property] = useInitialValues ? controller.initialValue : controller.getValue();\n });\n toReturn[index] = savedValues;\n });\n return toReturn;\n}\nfunction setPresetSelectIndex(gui) {\n for (var index = 0; index < gui.__preset_select.length; index++) {\n if (gui.__preset_select[index].value === gui.preset) {\n gui.__preset_select.selectedIndex = index;\n }\n }\n}\nfunction updateDisplays(controllerArray) {\n if (controllerArray.length !== 0) {\n requestAnimationFrame$1.call(window, function () {\n updateDisplays(controllerArray);\n });\n }\n Common.each(controllerArray, function (c) {\n c.updateDisplay();\n });\n}\n\nvar color = {\n Color: Color,\n math: ColorMath,\n interpret: interpret\n};\nvar controllers = {\n Controller: Controller,\n BooleanController: BooleanController,\n OptionController: OptionController,\n StringController: StringController,\n NumberController: NumberController,\n NumberControllerBox: NumberControllerBox,\n NumberControllerSlider: NumberControllerSlider,\n FunctionController: FunctionController,\n ColorController: ColorController\n};\nvar dom$1 = { dom: dom };\nvar gui = { GUI: GUI };\nvar GUI$1 = GUI;\nvar index = {\n color: color,\n controllers: controllers,\n dom: dom$1,\n gui: gui,\n GUI: GUI$1\n};\n\nexport { color, controllers, dom$1 as dom, gui, GUI$1 as GUI };\nexport default index;\n//# sourceMappingURL=dat.gui.module.js.map\n","import { mat4 } from 'wgpu-matrix';\nimport { GUI } from 'dat.gui';\nimport volumeWGSL from './volume.wgsl';\n\nconst canvas = document.querySelector('canvas') as HTMLCanvasElement;\n\nconst gui = new GUI();\n\n// GUI parameters\nconst params: { rotateCamera: boolean; near: number; far: number } = {\n rotateCamera: true,\n near: 2.0,\n far: 7.0,\n};\n\ngui.add(params, 'rotateCamera', true);\ngui.add(params, 'near', 2.0, 7.0);\ngui.add(params, 'far', 2.0, 7.0);\n\nconst adapter = await navigator.gpu.requestAdapter();\nconst device = await adapter.requestDevice();\nconst context = canvas.getContext('webgpu') as GPUCanvasContext;\n\nconst sampleCount = 4;\n\nconst devicePixelRatio = window.devicePixelRatio;\ncanvas.width = canvas.clientWidth * devicePixelRatio;\ncanvas.height = canvas.clientHeight * devicePixelRatio;\nconst presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\ncontext.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n});\n\nconst pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: volumeWGSL,\n }),\n },\n fragment: {\n module: device.createShaderModule({\n code: volumeWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n cullMode: 'back',\n },\n multisample: {\n count: sampleCount,\n },\n});\n\nconst texture = device.createTexture({\n size: [canvas.width, canvas.height],\n sampleCount,\n format: presentationFormat,\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n});\nconst view = texture.createView();\n\nconst uniformBufferSize = 4 * 16; // 4x4 matrix\nconst uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n});\n\n// Fetch the image and upload it into a GPUTexture.\nlet volumeTexture: GPUTexture;\n{\n const width = 180;\n const height = 216;\n const depth = 180;\n const format: GPUTextureFormat = 'r8unorm';\n const blockLength = 1;\n const bytesPerBlock = 1;\n const blocksWide = Math.ceil(width / blockLength);\n const blocksHigh = Math.ceil(height / blockLength);\n const bytesPerRow = blocksWide * bytesPerBlock;\n const dataPath =\n '../../assets/img/volume/t1_icbm_normal_1mm_pn0_rf0_180x216x180_uint8_1x1.bin-gz';\n\n // Fetch the compressed data\n const response = await fetch(dataPath);\n const compressedArrayBuffer = await response.arrayBuffer();\n\n // Decompress the data using DecompressionStream for gzip format\n const decompressionStream = new DecompressionStream('gzip');\n const decompressedStream = new Response(\n compressedArrayBuffer\n ).body.pipeThrough(decompressionStream);\n const decompressedArrayBuffer = await new Response(\n decompressedStream\n ).arrayBuffer();\n const byteArray = new Uint8Array(decompressedArrayBuffer);\n\n volumeTexture = device.createTexture({\n dimension: '3d',\n size: [width, height, depth],\n format: format,\n usage: GPUTextureUsage.TEXTURE_BINDING | GPUTextureUsage.COPY_DST,\n });\n\n device.queue.writeTexture(\n {\n texture: volumeTexture,\n },\n byteArray,\n { bytesPerRow: bytesPerRow, rowsPerImage: blocksHigh },\n [width, height, depth]\n );\n}\n\n// Create a sampler with linear filtering for smooth interpolation.\nconst sampler = device.createSampler({\n magFilter: 'linear',\n minFilter: 'linear',\n mipmapFilter: 'linear',\n maxAnisotropy: 16,\n});\n\nconst uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n {\n binding: 1,\n resource: sampler,\n },\n {\n binding: 2,\n resource: volumeTexture.createView(),\n },\n ],\n});\n\nconst renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'discard',\n },\n ],\n};\n\nlet rotation = 0;\n\nfunction getInverseModelViewProjectionMatrix(deltaTime: number) {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, [0, 0, -4], viewMatrix);\n if (params.rotateCamera) {\n rotation += deltaTime;\n }\n mat4.rotate(\n viewMatrix,\n [Math.sin(rotation), Math.cos(rotation), 0],\n 1,\n viewMatrix\n );\n\n const aspect = canvas.width / canvas.height;\n const projectionMatrix = mat4.perspective(\n (2 * Math.PI) / 5,\n aspect,\n params.near,\n params.far\n );\n const modelViewProjectionMatrix = mat4.multiply(projectionMatrix, viewMatrix);\n\n return mat4.invert(modelViewProjectionMatrix);\n}\n\nlet lastFrameMS = Date.now();\n\nfunction frame() {\n const now = Date.now();\n const deltaTime = (now - lastFrameMS) / 1000;\n lastFrameMS = now;\n\n const inverseModelViewProjection =\n getInverseModelViewProjectionMatrix(deltaTime);\n device.queue.writeBuffer(uniformBuffer, 0, inverseModelViewProjection);\n renderPassDescriptor.colorAttachments[0].view = view;\n renderPassDescriptor.colorAttachments[0].resolveTarget = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n 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\ No newline at end of file diff --git a/sample/volumeRenderingTexture3D/main.ts b/sample/volumeRenderingTexture3D/main.ts index a4b6929c..3b36ec74 100644 --- a/sample/volumeRenderingTexture3D/main.ts +++ b/sample/volumeRenderingTexture3D/main.ts @@ -184,7 +184,7 @@ function getInverseModelViewProjectionMatrix(deltaTime: number) { ); const modelViewProjectionMatrix = mat4.multiply(projectionMatrix, viewMatrix); - return mat4.invert(modelViewProjectionMatrix) as Float32Array; + return mat4.invert(modelViewProjectionMatrix); } let lastFrameMS = Date.now(); diff --git a/sample/worker/worker.js b/sample/worker/worker.js index 647437a3..22b3c498 100644 --- a/sample/worker/worker.js +++ b/sample/worker/worker.js @@ -1,4 +1,14 @@ -/* wgpu-matrix@2.8.0, license MIT */ +/* wgpu-matrix@3.0.0, license MIT */ +function wrapConstructor(OriginalConstructor, modifier) { + return class extends OriginalConstructor { + constructor(...args) { + super(...args); + modifier(this); + } + }; // Type assertion is necessary here +} +const ZeroArray = wrapConstructor((Array), a => a.fill(0)); + /* * Copyright 2022 Gregg Tavares * @@ -44,67 +54,673 @@ let EPSILON = 0.000001; * DEALINGS IN THE SOFTWARE. */ /** - * - * Vec3 math functions. - * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new `Vec3`. In other words you can do this - * - * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2. - * - * or - * - * const v = vec3.create(); - * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v - * - * The first style is often easier but depending on where it's used it generates garbage where - * as there is almost never allocation with the second style. - * - * It is always safe to pass any vector as the destination. So for example - * - * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 - * - */ -let VecType$1 = Float32Array; -/** - * Sets the type this library creates for a Vec3 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Vec3 - */ -function setDefaultType$5(ctor) { - const oldType = VecType$1; - VecType$1 = ctor; - return oldType; -} -/** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Generates am typed API for Vec3 */ -function create$4(x, y, z) { - const dst = new VecType$1(3); - if (x !== undefined) { - dst[0] = x; - if (y !== undefined) { - dst[1] = y; - if (z !== undefined) { - dst[2] = z; +function getAPIImpl$5(Ctor) { + /** + * Creates a Vec2; may be called with x, y, z to set initial values. + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Vec2's specified type + * it would be faster to use + * + * ``` + * const v = vec2.clone(someJSArray); + * ``` + * + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + function create(x = 0, y = 0) { + const newDst = new Ctor(2); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; } } + return newDst; + } + /** + * Creates a Vec2; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec2 + * Also see {@link vec2.create} and {@link vec2.copy} + * + * @param x first value + * @param y second value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = x; + newDst[1] = y; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const bx = b[0]; + const by = b[1]; + const mag1 = Math.sqrt(ax * ax + ay * ay); + const mag2 = Math.sqrt(bx * bx + by * by); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const z = a[0] * b[1] - a[1] * b[0]; + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = z; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return a[0] * b[0] + a[1] * b[1]; + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + return Math.sqrt(v0 * v0 + v1 * v1); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + return v0 * v0 + v1 * v1; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return Math.sqrt(dx * dx + dy * dy); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + return dx * dx + dy * dy; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(2)); + const v0 = v[0]; + const v1 = v[1]; + const len = Math.sqrt(v0 * v0 + v1 * v1); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + } + return newDst; } - return dst; + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec2.clone}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = v[0]; + newDst[1] = v[1]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec2.copy}) + * Also see {@link vec2.create} and {@link vec2.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random unit vector * scale + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(2)); + const angle = Math.random() * 2 * Math.PI; + newDst[0] = Math.cos(angle) * scale; + newDst[1] = Math.sin(angle) * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(2)); + newDst[0] = 0; + newDst[1] = 0; + return newDst; + } + /** + * transform Vec2 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = x * m[0] + y * m[4] + m[12]; + newDst[1] = x * m[1] + y * m[5] + m[13]; + return newDst; + } + /** + * Transforms vec4 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional Vec2 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(2)); + const x = v[0]; + const y = v[1]; + newDst[0] = m[0] * x + m[4] * y + m[8]; + newDst[1] = m[1] * x + m[5] * y + m[9]; + return newDst; + } + /** + * Rotate a 2D vector + * + * @param a The vec2 point to rotate + * @param b The origin of the rotation + * @param rad The angle of rotation in radians + * @returns the rotated vector + */ + function rotate(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(2)); + // Translate point to the origin + const p0 = a[0] - b[0]; + const p1 = a[1] - b[1]; + const sinC = Math.sin(rad); + const cosC = Math.cos(rad); + //perform rotation and translate to correct position + newDst[0] = p0 * cosC - p1 * sinC + b[0]; + newDst[1] = p0 * sinC + p1 * cosC + b[1]; + return newDst; + } + /** + * Treat a 2D vector as a direction and set it's length + * + * @param a The vec2 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(2)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec2 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(2)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(2)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat3, + rotate, + setLength, + truncate, + midpoint, + }; +} +const cache$5 = new Map(); +function getAPI$5(Ctor) { + let api = cache$5.get(Ctor); + if (!api) { + api = getAPIImpl$5(Ctor); + cache$5.set(Ctor, api); + } + return api; } -// This mess is because with Mat3 we have 3 unused elements. -// For Float32Array and Float64Array that's not an issue -// but for Array it's troublesome -const ctorMap = new Map([ - [Float32Array, () => new Float32Array(12)], - [Float64Array, () => new Float64Array(12)], - [Array, () => new Array(12).fill(0)], -]); -ctorMap.get(Float32Array); /* * Copyright 2022 Gregg Tavares @@ -128,2403 +744,4747 @@ ctorMap.get(Float32Array); * DEALINGS IN THE SOFTWARE. */ /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ -const fromValues$2 = create$4; -/** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. - */ -function set$3(x, y, z, dst) { - dst = dst || new VecType$1(3); - dst[0] = x; - dst[1] = y; - dst[2] = z; - return dst; -} -/** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. - */ -function ceil$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.ceil(v[0]); - dst[1] = Math.ceil(v[1]); - dst[2] = Math.ceil(v[2]); - return dst; -} -/** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ -function floor$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.floor(v[0]); - dst[1] = Math.floor(v[1]); - dst[2] = Math.floor(v[2]); - return dst; -} -/** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ -function round$1(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.round(v[0]); - dst[1] = Math.round(v[1]); - dst[2] = Math.round(v[2]); - return dst; -} -/** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. - */ -function clamp$1(v, min = 0, max = 1, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(max, Math.max(min, v[0])); - dst[1] = Math.min(max, Math.max(min, v[1])); - dst[2] = Math.min(max, Math.max(min, v[2])); - return dst; -} -/** - * Adds two vectors; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. - */ -function add$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0]; - dst[1] = a[1] + b[1]; - dst[2] = a[2] + b[2]; - return dst; -} -/** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. - * @param a - Operand vector. - * @param b - Operand vector. - * @param scale - Amount to scale b - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ -function addScaled$1(a, b, scale, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + b[0] * scale; - dst[1] = a[1] + b[1] * scale; - dst[2] = a[2] + b[2] * scale; - return dst; -} -/** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. - */ -function angle$1(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = a[0]; - const by = a[1]; - const bz = a[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot$2(a, b) / mag; - return Math.acos(cosine); -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -function subtract$2(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] - b[0]; - dst[1] = a[1] - b[1]; - dst[2] = a[2] - b[2]; - return dst; -} -/** - * Subtracts two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ -const sub$2 = subtract$2; -/** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ -function equalsApproximately$3(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; -} -/** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal - */ -function equals$3(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. - */ -function lerp$2(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t * (b[0] - a[0]); - dst[1] = a[1] + t * (b[1] - a[1]); - dst[2] = a[2] + t * (b[2] - a[2]); - return dst; -} -/** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. - */ -function lerpV$1(a, b, t, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] + t[0] * (b[0] - a[0]); - dst[1] = a[1] + t[1] * (b[1] - a[1]); - dst[2] = a[2] + t[2] * (b[2] - a[2]); - return dst; -} -/** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. - */ -function max$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.max(a[0], b[0]); - dst[1] = Math.max(a[1], b[1]); - dst[2] = Math.max(a[2], b[2]); - return dst; -} -/** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. - */ -function min$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = Math.min(a[0], b[0]); - dst[1] = Math.min(a[1], b[1]); - dst[2] = Math.min(a[2], b[2]); - return dst; -} -/** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function mulScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] * k; - dst[1] = v[1] * k; - dst[2] = v[2] * k; - return dst; -} -/** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -const scale$3 = mulScalar$2; -/** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ -function divScalar$2(v, k, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0] / k; - dst[1] = v[1] / k; - dst[2] = v[2] / k; - return dst; -} -/** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -function inverse$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = 1 / v[0]; - dst[1] = 1 / v[1]; - dst[2] = 1 / v[2]; - return dst; + * Generates a typed API for Mat3 + * */ +function getAPIImpl$4(Ctor) { + const vec2 = getAPI$5(Ctor); + /** + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 + */ + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } + /** + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } + /** + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + return newDst; + } + /** + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); + } + /** + * Computes the inverse of a 3-by-3 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; + return newDst; + } + /** + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Returns the translation component of a 3-by-3 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; + return newDst; + } + /** + * Returns an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec2.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + return newDst; + } + /** + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + /** + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; + } + /** + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; + } + return { + clone, + create, + set, + fromMat4, + fromQuat, + negate, + copy, + equalsApproximately, + equals, + identity, + transpose, + inverse, + invert, + determinant, + mul, + multiply, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. - */ -const invert$2 = inverse$3; -/** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. - */ -function cross(a, b, dst) { - dst = dst || new VecType$1(3); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - dst[0] = a[1] * b[2] - a[2] * b[1]; - dst[1] = t1; - dst[2] = t2; - return dst; +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; } -/** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function dot$2(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); -} /** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. - */ -function length$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + * Generates am typed API for Vec3 + * */ +function getAPIImpl$3(Ctor) { + /** + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + } + } + } + return newDst; + } + /** + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. + */ + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; + return newDst; + } + /** + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Creates a random vector + * @param scale - Default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The random vector. + */ + function random(scale = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; + return newDst; + } + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + return newDst; + } + /** + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; + return newDst; + } + /** + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. + */ + function transformMat4Upper3x3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; + return newDst; + } + /** + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat3(v, m, dst) { + const newDst = (dst ?? new Ctor(3)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; + return newDst; + } + /** + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed + */ + function transformQuat(v, q, dst) { + const newDst = (dst ?? new Ctor(3)); + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + return newDst; + } + /** + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. + */ + function getTranslation(m, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function getScaling(m, dst) { + const newDst = (dst ?? new Ctor(3)); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector + */ + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out + */ + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } + /** + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; } -/** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. - */ -const len$2 = length$2; -/** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. - */ -function lengthSq$2(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; +const cache$3 = new Map(); +function getAPI$3(Ctor) { + let api = cache$3.get(Ctor); + if (!api) { + api = getAPIImpl$3(Ctor); + cache$3.set(Ctor, api); + } + return api; } + /** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. - */ -const lenSq$2 = lengthSq$2; -/** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -function distance$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); -} -/** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b - */ -const dist$1 = distance$1; -/** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -function distanceSq$1(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; -} -/** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b - */ -const distSq$1 = distanceSq$1; -/** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. - */ -function normalize$2(v, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - dst[0] = v0 / len; - dst[1] = v1 / len; - dst[2] = v2 / len; - } - else { - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - } - return dst; -} -/** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. - */ -function negate$2(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = -v[0]; - dst[1] = -v[1]; - dst[2] = -v[2]; - return dst; -} -/** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -function copy$3(v, dst) { - dst = dst || new VecType$1(3); - dst[0] = v[0]; - dst[1] = v[1]; - dst[2] = v[2]; - return dst; -} -/** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. - */ -const clone$3 = copy$3; -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -function multiply$3(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] * b[0]; - dst[1] = a[1] * b[1]; - dst[2] = a[2] * b[2]; - return dst; -} -/** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. - */ -const mul$3 = multiply$3; -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -function divide$1(a, b, dst) { - dst = dst || new VecType$1(3); - dst[0] = a[0] / b[0]; - dst[1] = a[1] / b[1]; - dst[2] = a[2] / b[2]; - return dst; -} -/** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ -const div$1 = divide$1; -/** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. - */ -function random(scale = 1, dst) { - dst = dst || new VecType$1(3); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - dst[0] = Math.cos(angle) * zScale; - dst[1] = Math.sin(angle) * zScale; - dst[2] = z * scale; - return dst; -} -/** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. - */ -function zero$1(dst) { - dst = dst || new VecType$1(3); - dst[0] = 0; - dst[1] = 0; - dst[2] = 0; - return dst; -} -/** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat4$1(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return dst; -} -/** - * Transform vec4 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. - * @param m - The matrix. - * @param dst - optional Vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. - */ -function transformMat4Upper3x3(v, m, dst) { - dst = dst || new VecType$1(3); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return dst; -} -/** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector - */ -function transformMat3(v, m, dst) { - dst = dst || new VecType$1(3); - const x = v[0]; - const y = v[1]; - const z = v[2]; - dst[0] = x * m[0] + y * m[4] + z * m[8]; - dst[1] = x * m[1] + y * m[5] + z * m[9]; - dst[2] = x * m[2] + y * m[6] + z * m[10]; - return dst; -} -/** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed - */ -function transformQuat(v, q, dst) { - dst = dst || new VecType$1(3); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation$1(m, dst) { - dst = dst || new VecType$1(3); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis$1(m, axis, dst) { - dst = dst || new VecType$1(3); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling$1(m, dst) { - dst = dst || new VecType$1(3); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + * Generates a typed API for Mat4 + * */ +function getAPIImpl$2(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * 4x4 Matrix math math functions. + * + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new matrix. In other words you can do this + * + * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * + * or + * + * const mat = mat4.create(); + * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. + * + * It is always save to pass any matrix as the destination. So for example + * + * const mat = mat4.identity(); + * const trans = mat4.translation([1, 2, 3]); + * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * + */ + /** + * Create a Mat4 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat4's specified type + * it would be faster to use + * + * ``` + * const m = mat4.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @returns created from values. + */ + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { + const newDst = new Ctor(16); + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[3] = v3; + if (v4 !== undefined) { + newDst[4] = v4; + if (v5 !== undefined) { + newDst[5] = v5; + if (v6 !== undefined) { + newDst[6] = v6; + if (v7 !== undefined) { + newDst[7] = v7; + if (v8 !== undefined) { + newDst[8] = v8; + if (v9 !== undefined) { + newDst[9] = v9; + if (v10 !== undefined) { + newDst[10] = v10; + if (v11 !== undefined) { + newDst[11] = v11; + if (v12 !== undefined) { + newDst[12] = v12; + if (v13 !== undefined) { + newDst[13] = v13; + if (v14 !== undefined) { + newDst[14] = v14; + if (v15 !== undefined) { + newDst[15] = v15; + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + } + return newDst; + } + /** + * Sets the values of a Mat4 + * Also see {@link mat4.create} and {@link mat4.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param v9 - value for element 9 + * @param v10 - value for element 10 + * @param v11 - value for element 11 + * @param v12 - value for element 12 + * @param v13 - value for element 13 + * @param v14 - value for element 14 + * @param v15 - value for element 15 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 created from values. + */ + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = v3; + newDst[4] = v4; + newDst[5] = v5; + newDst[6] = v6; + newDst[7] = v7; + newDst[8] = v8; + newDst[9] = v9; + newDst[10] = v10; + newDst[11] = v11; + newDst[12] = v12; + newDst[13] = v13; + newDst[14] = v14; + newDst[15] = v15; + return newDst; + } + /** + * Creates a Mat4 from a Mat3 + * @param m3 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from m3 + */ + function fromMat3(m3, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m3[0]; + newDst[1] = m3[1]; + newDst[2] = m3[2]; + newDst[3] = 0; + newDst[4] = m3[4]; + newDst[5] = m3[5]; + newDst[6] = m3[6]; + newDst[7] = 0; + newDst[8] = m3[8]; + newDst[9] = m3[9]; + newDst[10] = m3[10]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a Mat4 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat4 made from q + */ + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(16)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. + */ + function negate(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[3] = -m[3]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[7] = -m[7]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; + newDst[11] = -m[11]; + newDst[12] = -m[12]; + newDst[13] = -m[13]; + newDst[14] = -m[14]; + newDst[15] = -m[15]; + return newDst; + } + /** + * Copies a matrix. (same as {@link mat4.clone}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + function copy(m, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + return newDst; + } + /** + * Copies a matrix (same as {@link mat4.copy}) + * Also see {@link mat4.create} and {@link mat4.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. + */ + const clone = copy; + /** + * Check if 2 matrices are approximately equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[7] - b[7]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON && + Math.abs(a[11] - b[11]) < EPSILON && + Math.abs(a[12] - b[12]) < EPSILON && + Math.abs(a[13] - b[13]) < EPSILON && + Math.abs(a[14] - b[14]) < EPSILON && + Math.abs(a[15] - b[15]) < EPSILON; + } + /** + * Check if 2 matrices are exactly equal + * @param a - Operand matrix. + * @param b - Operand matrix. + * @returns true if matrices are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[3] === b[3] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[7] === b[7] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10] && + a[11] === b[11] && + a[12] === b[12] && + a[13] === b[13] && + a[14] === b[14] && + a[15] === b[15]; + } + /** + * Creates a 4-by-4 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 4-by-4 identity matrix. + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. + */ + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(16)); + if (newDst === m) { + let t; + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[3]; + m[3] = m[12]; + m[12] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + t = m[7]; + m[7] = m[13]; + m[13] = t; + t = m[11]; + m[11] = m[14]; + m[14] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[3] = m30; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[7] = m31; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; + newDst[11] = m32; + newDst[12] = m03; + newDst[13] = m13; + newDst[14] = m23; + newDst[15] = m33; + return newDst; + } + /** + * Computes the inverse of a 4-by-4 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const tmp12 = m20 * m31; + const tmp13 = m30 * m21; + const tmp14 = m10 * m31; + const tmp15 = m30 * m11; + const tmp16 = m10 * m21; + const tmp17 = m20 * m11; + const tmp18 = m00 * m31; + const tmp19 = m30 * m01; + const tmp20 = m00 * m21; + const tmp21 = m20 * m01; + const tmp22 = m00 * m11; + const tmp23 = m10 * m01; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); + newDst[0] = d * t0; + newDst[1] = d * t1; + newDst[2] = d * t2; + newDst[3] = d * t3; + newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - + (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); + newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - + (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); + newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - + (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); + newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - + (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); + newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - + (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); + newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - + (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); + newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - + (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); + newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - + (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); + newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - + (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); + newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - + (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); + newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - + (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); + newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - + (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); + return newDst; + } + /** + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant + */ + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + const tmp0 = m22 * m33; + const tmp1 = m32 * m23; + const tmp2 = m12 * m33; + const tmp3 = m32 * m13; + const tmp4 = m12 * m23; + const tmp5 = m22 * m13; + const tmp6 = m02 * m33; + const tmp7 = m32 * m03; + const tmp8 = m02 * m23; + const tmp9 = m22 * m03; + const tmp10 = m02 * m13; + const tmp11 = m12 * m03; + const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - + (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); + const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - + (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); + const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - + (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); + const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - + (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); + return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; + } + /** + * Computes the inverse of a 4-by-4 matrix. (same as inverse) + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. + */ + const invert = inverse; + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(16)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a03 = a[3]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a13 = a[4 + 3]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const a23 = a[8 + 3]; + const a30 = a[12 + 0]; + const a31 = a[12 + 1]; + const a32 = a[12 + 2]; + const a33 = a[12 + 3]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b03 = b[3]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b13 = b[4 + 3]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + const b23 = b[8 + 3]; + const b30 = b[12 + 0]; + const b31 = b[12 + 1]; + const b32 = b[12 + 2]; + const b33 = b[12 + 3]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; + newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; + newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; + newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; + newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; + newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; + newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; + newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; + return newDst; + } + /** + * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. + */ + const mul = multiply; + /** + * Sets the translation component of a 4-by-4 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[3] = a[3]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + newDst[7] = a[7]; + newDst[8] = a[8]; + newDst[9] = a[9]; + newDst[10] = a[10]; + newDst[11] = a[11]; + } + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + ///** + // * Returns the translation component of a 4-by-4 matrix as a vector with 3 + // * entries. + // * @param m - The matrix. + // * @param dst - vector to hold result. If not passed a new one is created. + // * @returns The translation component of m. + // */ + function getTranslation(m, dst) { + const newDst = (dst ?? vec3.create()); + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; + return newDst; + } + /** + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. + */ + function getAxis(m, axis, dst) { + const newDst = (dst ?? vec3.create()); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } + /** + * Sets an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m) ? dst : copy(m, dst); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + newDst[off + 2] = v[2]; + return newDst; + } + ///** + // * Returns the scaling component of the matrix + // * @param m - The Matrix + // * @param dst - The vector to set. If not passed a new one is created. + // */ + function getScaling(m, dst) { + const newDst = (dst ?? vec3.create()); + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 0 to 1 in the z dimension. + * + * Note: If you pass `Infinity` for zFar then it will produce a projection matrix + * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z + * otherwise. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ + function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (Number.isFinite(zFar)) { + const rangeInv = 1 / (zNear - zFar); + newDst[10] = zFar * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + else { + newDst[10] = -1; + newDst[14] = -zNear; + } + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height + * of the frustum, the aspect ratio, and the near and far clipping planes. The + * arguments define a frustum extending in the negative z direction. The given + * angle is the vertical angle of the frustum, and the horizontal angle is + * determined to produce the given aspect ratio. The arguments near and far are + * the distances to the near and far clipping planes. Note that near and far + * are not z coordinates, but rather they are distances along the negative + * z-axis. The matrix generated sends the viewing frustum to the unit box. + * We assume a unit box extending from -1 to 1 in the x and y dimensions and + * from 1 (at -zNear) to 0 (at -zFar) in the z dimension. + * + * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). + * @param aspect - The aspect ratio width / height. + * @param zNear - The depth (negative z coordinate) + * of the near clipping plane. + * @param zFar - The depth (negative z coordinate) + * of the far clipping plane. (default = Infinity) + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The perspective matrix. + */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5); + newDst[0] = f / aspect; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = f; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (zFar === Infinity) { + newDst[10] = 0; + newDst[14] = zNear; + } + else { + const rangeInv = 1 / (zFar - zNear); + newDst[10] = zNear * rangeInv; + newDst[14] = zFar * zNear * rangeInv; + } + return newDst; + } + /** + * Computes a 4-by-4 orthogonal transformation matrix that transforms from + * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y + * and 0 to +1 in z. + * @param left - Left side of the near clipping plane viewport. + * @param right - Right side of the near clipping plane viewport. + * @param bottom - Bottom of the near clipping plane viewport. + * @param top - Top of the near clipping plane viewport. + * @param near - The depth (negative z coordinate) + * of the near clipping plane. + * @param far - The depth (negative z coordinate) + * of the far clipping plane. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The orthographic projection matrix. + */ + function ortho(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 2 / (right - left); + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 / (top - bottom); + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1 / (near - far); + newDst[11] = 0; + newDst[12] = (right + left) / (left - right); + newDst[13] = (top + bottom) / (bottom - top); + newDst[14] = near / (near - far); + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustum(left, right, bottom, top, near, far, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + const dz = (near - far); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[10] = far / dz; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = near * far / dz; + newDst[15] = 0; + return newDst; + } + /** + * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right, + * top, bottom, near and far clipping planes. The arguments define a frustum + * extending in the negative z direction. The arguments near and far are the + * distances to the near and far clipping planes. Note that near and far are not + * z coordinates, but rather they are distances along the negative z-axis. The + * matrix generated sends the viewing frustum to the unit box. We assume a unit + * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z + * dimension. + * @param left - The x coordinate of the left plane of the box. + * @param right - The x coordinate of the right plane of the box. + * @param bottom - The y coordinate of the bottom plane of the box. + * @param top - The y coordinate of the right plane of the box. + * @param near - The negative z coordinate of the near plane of the box. + * @param far - The negative z coordinate of the far plane of the box. + * @param dst - Output matrix. If not passed a new one is created. + * @returns The perspective projection matrix. + */ + function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) { + const newDst = (dst ?? new Ctor(16)); + const dx = (right - left); + const dy = (top - bottom); + newDst[0] = 2 * near / dx; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 2 * near / dy; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = (left + right) / dx; + newDst[9] = (top + bottom) / dy; + newDst[11] = -1; + newDst[12] = 0; + newDst[13] = 0; + newDst[15] = 0; + if (far === Infinity) { + newDst[10] = 0; + newDst[14] = near; + } + else { + const rangeInv = 1 / (far - near); + newDst[10] = near * rangeInv; + newDst[14] = far * near * rangeInv; + } + return newDst; + } + const xAxis = vec3.create(); + const yAxis = vec3.create(); + const zAxis = vec3.create(); + /** + * Computes a 4-by-4 aim transformation. + * + * This is a matrix which positions an object aiming down positive Z. + * toward the target. + * + * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * + * @param position - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function aim(position, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(target, position, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = position[0]; + newDst[13] = position[1]; + newDst[14] = position[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 camera aim transformation. + * + * This is a matrix which positions an object aiming down negative Z. + * toward the target. + * + * Note: this is the inverse of `lookAt` + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The aim matrix. + */ + function cameraAim(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = xAxis[1]; + newDst[2] = xAxis[2]; + newDst[3] = 0; + newDst[4] = yAxis[0]; + newDst[5] = yAxis[1]; + newDst[6] = yAxis[2]; + newDst[7] = 0; + newDst[8] = zAxis[0]; + newDst[9] = zAxis[1]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = eye[0]; + newDst[13] = eye[1]; + newDst[14] = eye[2]; + newDst[15] = 1; + return newDst; + } + /** + * Computes a 4-by-4 view transformation. + * + * This is a view matrix which transforms all other objects + * to be in the space of the view defined by the parameters. + * + * @param eye - The position of the object. + * @param target - The position meant to be aimed at. + * @param up - A vector pointing up. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The look-at matrix. + */ + function lookAt(eye, target, up, dst) { + const newDst = (dst ?? new Ctor(16)); + vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis); + vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis); + vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis); + newDst[0] = xAxis[0]; + newDst[1] = yAxis[0]; + newDst[2] = zAxis[0]; + newDst[3] = 0; + newDst[4] = xAxis[1]; + newDst[5] = yAxis[1]; + newDst[6] = zAxis[1]; + newDst[7] = 0; + newDst[8] = xAxis[2]; + newDst[9] = yAxis[2]; + newDst[10] = zAxis[2]; + newDst[11] = 0; + newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); + newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); + newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which translates by the given vector v. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. + */ + function translation(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = v[0]; + newDst[13] = v[1]; + newDst[14] = v[2]; + newDst[15] = 1; + return newDst; + } + /** + * Translates the given 4-by-4 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by + * which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const m30 = m[3 * 4 + 0]; + const m31 = m[3 * 4 + 1]; + const m32 = m[3 * 4 + 2]; + const m33 = m[3 * 4 + 3]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[3] = m03; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + newDst[7] = m13; + newDst[8] = m20; + newDst[9] = m21; + newDst[10] = m22; + newDst[11] = m23; + } + newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; + newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; + newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; + newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationX(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = c; + newDst[6] = s; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = -s; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the x-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateX(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[4] = c * m10 + s * m20; + newDst[5] = c * m11 + s * m21; + newDst[6] = c * m12 + s * m22; + newDst[7] = c * m13 + s * m23; + newDst[8] = c * m20 - s * m10; + newDst[9] = c * m21 - s * m11; + newDst[10] = c * m22 - s * m12; + newDst[11] = c * m23 - s * m13; + if (m !== newDst) { + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[3] = m[3]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationY(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = 0; + newDst[2] = -s; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = s; + newDst[9] = 0; + newDst[10] = c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the y-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateY(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const m23 = m[2 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 - s * m20; + newDst[1] = c * m01 - s * m21; + newDst[2] = c * m02 - s * m22; + newDst[3] = c * m03 - s * m23; + newDst[8] = c * m20 + s * m00; + newDst[9] = c * m21 + s * m01; + newDst[10] = c * m22 + s * m02; + newDst[11] = c * m23 + s * m03; + if (m !== newDst) { + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[7] = m[7]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotationZ(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the z-axis by the given + * angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function rotateZ(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m03 = m[0 * 4 + 3]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m13 = m[1 * 4 + 3]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[3] = c * m03 + s * m13; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + newDst[7] = c * m13 - s * m03; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + newDst[11] = m[11]; + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + function axisRotation(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + newDst[0] = xx + (1 - xx) * c; + newDst[1] = x * y * oneMinusCosine + z * s; + newDst[2] = x * z * oneMinusCosine - y * s; + newDst[3] = 0; + newDst[4] = x * y * oneMinusCosine - z * s; + newDst[5] = yy + (1 - yy) * c; + newDst[6] = y * z * oneMinusCosine + x * s; + newDst[7] = 0; + newDst[8] = x * z * oneMinusCosine + y * s; + newDst[9] = y * z * oneMinusCosine - x * s; + newDst[10] = zz + (1 - zz) * c; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Creates a 4-by-4 matrix which rotates around the given axis by the given + * angle. (same as axisRotation) + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A matrix which rotates angle radians + * around the axis. + */ + const rotation = axisRotation; + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + function axisRotate(m, axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(16)); + let x = axis[0]; + let y = axis[1]; + let z = axis[2]; + const n = Math.sqrt(x * x + y * y + z * z); + x /= n; + y /= n; + z /= n; + const xx = x * x; + const yy = y * y; + const zz = z * z; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + const oneMinusCosine = 1 - c; + const r00 = xx + (1 - xx) * c; + const r01 = x * y * oneMinusCosine + z * s; + const r02 = x * z * oneMinusCosine - y * s; + const r10 = x * y * oneMinusCosine - z * s; + const r11 = yy + (1 - yy) * c; + const r12 = y * z * oneMinusCosine + x * s; + const r20 = x * z * oneMinusCosine + y * s; + const r21 = y * z * oneMinusCosine - x * s; + const r22 = zz + (1 - zz) * c; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m03 = m[3]; + const m10 = m[4]; + const m11 = m[5]; + const m12 = m[6]; + const m13 = m[7]; + const m20 = m[8]; + const m21 = m[9]; + const m22 = m[10]; + const m23 = m[11]; + newDst[0] = r00 * m00 + r01 * m10 + r02 * m20; + newDst[1] = r00 * m01 + r01 * m11 + r02 * m21; + newDst[2] = r00 * m02 + r01 * m12 + r02 * m22; + newDst[3] = r00 * m03 + r01 * m13 + r02 * m23; + newDst[4] = r10 * m00 + r11 * m10 + r12 * m20; + newDst[5] = r10 * m01 + r11 * m11 + r12 * m21; + newDst[6] = r10 * m02 + r11 * m12 + r12 * m22; + newDst[7] = r10 * m03 + r11 * m13 + r12 * m23; + newDst[8] = r20 * m00 + r21 * m10 + r22 * m20; + newDst[9] = r20 * m01 + r21 * m11 + r22 * m21; + newDst[10] = r20 * m02 + r21 * m12 + r22 * m22; + newDst[11] = r20 * m03 + r21 * m13 + r22 * m23; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Rotates the given 4-by-4 matrix around the given axis by the + * given angle. (same as rotate) + * @param m - The matrix. + * @param axis - The axis + * about which to rotate. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. + */ + const rotate = axisRotate; + /** + * Creates a 4-by-4 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * three entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = v[2]; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of three entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(16)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[3] = v0 * m[0 * 4 + 3]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + newDst[7] = v1 * m[1 * 4 + 3]; + newDst[8] = v2 * m[2 * 4 + 0]; + newDst[9] = v2 * m[2 * 4 + 1]; + newDst[10] = v2 * m[2 * 4 + 2]; + newDst[11] = v2 * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + /** + * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. + * @param s - the amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. + */ + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[7] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = s; + newDst[11] = 0; + newDst[12] = 0; + newDst[13] = 0; + newDst[14] = 0; + newDst[15] = 1; + return newDst; + } + /** + * Scales the given 4-by-4 matrix in each dimension by a uniform scale. + * @param m - The matrix to be modified. + * @param s - The amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. + */ + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(16)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[3] = s * m[0 * 4 + 3]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + newDst[7] = s * m[1 * 4 + 3]; + newDst[8] = s * m[2 * 4 + 0]; + newDst[9] = s * m[2 * 4 + 1]; + newDst[10] = s * m[2 * 4 + 2]; + newDst[11] = s * m[2 * 4 + 3]; + if (m !== newDst) { + newDst[12] = m[12]; + newDst[13] = m[13]; + newDst[14] = m[14]; + newDst[15] = m[15]; + } + return newDst; + } + return { + create, + set, + fromMat3, + fromQuat, + negate, + copy, + clone, + equalsApproximately, + equals, + identity, + transpose, + inverse, + determinant, + invert, + multiply, + mul, + setTranslation, + getTranslation, + getAxis, + setAxis, + getScaling, + perspective, + perspectiveReverseZ, + ortho, + frustum, + frustumReverseZ, + aim, + cameraAim, + lookAt, + translation, + translate, + rotationX, + rotateX, + rotationY, + rotateY, + rotationZ, + rotateZ, + axisRotation, + rotation, + axisRotate, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, + }; } -/** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateX$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; +const cache$2 = new Map(); +function getAPI$2(Ctor) { + let api = cache$2.get(Ctor); + if (!api) { + api = getAPIImpl$2(Ctor); + cache$2.set(Ctor, api); + } + return api; } -/** - * Rotate a 3D vector around the y-axis + +/* + * Copyright 2022 Gregg Tavares * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector - */ -function rotateY$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Rotate a 3D vector around the z-axis + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out - */ -function rotateZ$2(a, b, rad, dst) { - dst = dst || new VecType$1(3); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - dst[0] = r[0] + b[0]; - dst[1] = r[1] + b[1]; - dst[2] = r[2] + b[2]; - return dst; -} -/** - * Treat a 3D vector as a direction and set it's length + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function setLength$1(a, len, dst) { - dst = dst || new VecType$1(3); - normalize$2(a, dst); - return mulScalar$2(dst, len, dst); -} /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long - */ -function truncate$1(a, maxLen, dst) { - dst = dst || new VecType$1(3); - if (length$2(a) > maxLen) { - return setLength$1(a, maxLen, dst); + * Generates am typed API for Qud + * */ +function getAPIImpl$1(Ctor) { + const vec3 = getAPI$3(Ctor); + /** + * Creates a quat4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; + } + } + } + } + return newDst; + } + /** + * Creates a Quat; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Quat + * Also see {@link quat.create} and {@link quat.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Sets a quaternion from the given angle and axis, + * then returns it. + * + * @param axis - the axis to rotate around + * @param angleInRadians - the angle + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The quaternion that represents the given axis and angle + **/ + function fromAxisAngle(axis, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const s = Math.sin(halfAngle); + newDst[0] = s * axis[0]; + newDst[1] = s * axis[1]; + newDst[2] = s * axis[2]; + newDst[3] = Math.cos(halfAngle); + return newDst; + } + /** + * Gets the rotation axis and angle + * @param q - quaternion to compute from + * @param dst - Vec3 to hold result. If not passed in a new one is created. + * @return angle and axis + */ + function toAxisAngle(q, dst) { + const newDst = (dst ?? vec3.create(3)); + const angle = Math.acos(q[3]) * 2; + const s = Math.sin(angle * 0.5); + if (s > EPSILON) { + newDst[0] = q[0] / s; + newDst[1] = q[1] / s; + newDst[2] = q[2] / s; + } + else { + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + } + return { angle, axis: newDst }; + } + /** + * Returns the angle in degrees between two rotations a and b. + * @param a - quaternion a + * @param b - quaternion b + * @return angle in radians between the two quaternions + */ + function angle(a, b) { + const d = dot(a, b); + return Math.acos(2 * d * d - 1); + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const bw = b[3]; + newDst[0] = ax * bw + aw * bx + ay * bz - az * by; + newDst[1] = ay * bw + aw * by + az * bx - ax * bz; + newDst[2] = az * bw + aw * bz + ax * by - ay * bx; + newDst[3] = aw * bw - ax * bx - ay * by - az * bz; + return newDst; + } + /** + * Multiplies two quaternions + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + const mul = multiply; + /** + * Rotates the given quaternion around the X axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateX(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bx = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qw * bx; + newDst[1] = qy * bw + qz * bx; + newDst[2] = qz * bw - qy * bx; + newDst[3] = qw * bw - qx * bx; + return newDst; + } + /** + * Rotates the given quaternion around the Y axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateY(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const by = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw - qz * by; + newDst[1] = qy * bw + qw * by; + newDst[2] = qz * bw + qx * by; + newDst[3] = qw * bw - qy * by; + return newDst; + } + /** + * Rotates the given quaternion around the Z axis by the given angle. + * @param q - quaternion to rotate + * @param angleInRadians - The angle by which to rotate + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function rotateZ(q, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(4)); + const halfAngle = angleInRadians * 0.5; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const qw = q[3]; + const bz = Math.sin(halfAngle); + const bw = Math.cos(halfAngle); + newDst[0] = qx * bw + qy * bz; + newDst[1] = qy * bw - qx * bz; + newDst[2] = qz * bw + qw * bz; + newDst[3] = qw * bw - qz * bz; + return newDst; + } + /** + * Spherically linear interpolate between two quaternions + * + * @param a - starting value + * @param b - ending value + * @param t - value where 0 = a and 1 = b + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the result of a * b + */ + function slerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const aw = a[3]; + let bx = b[0]; + let by = b[1]; + let bz = b[2]; + let bw = b[3]; + let cosOmega = ax * bx + ay * by + az * bz + aw * bw; + if (cosOmega < 0) { + cosOmega = -cosOmega; + bx = -bx; + by = -by; + bz = -bz; + bw = -bw; + } + let scale0; + let scale1; + if (1.0 - cosOmega > EPSILON) { + const omega = Math.acos(cosOmega); + const sinOmega = Math.sin(omega); + scale0 = Math.sin((1 - t) * omega) / sinOmega; + scale1 = Math.sin(t * omega) / sinOmega; + } + else { + scale0 = 1.0 - t; + scale1 = t; + } + newDst[0] = scale0 * ax + scale1 * bx; + newDst[1] = scale0 * ay + scale1 * by; + newDst[2] = scale0 * az + scale1 * bz; + newDst[3] = scale0 * aw + scale1 * bw; + return newDst; + } + /** + * Compute the inverse of a quaternion + * + * @param q - quaternion to compute the inverse of + * @returns A quaternion that is the result of a * b + */ + function inverse(q, dst) { + const newDst = (dst ?? new Ctor(4)); + const a0 = q[0]; + const a1 = q[1]; + const a2 = q[2]; + const a3 = q[3]; + const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3; + const invDot = dot ? 1 / dot : 0; + newDst[0] = -a0 * invDot; + newDst[1] = -a1 * invDot; + newDst[2] = -a2 * invDot; + newDst[3] = a3 * invDot; + return newDst; + } + /** + * Compute the conjugate of a quaternion + * For quaternions with a magnitude of 1 (a unit quaternion) + * this returns the same as the inverse but is faster to calculate. + * + * @param q - quaternion to compute the conjugate of. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The conjugate of q + */ + function conjugate(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -q[0]; + newDst[1] = -q[1]; + newDst[2] = -q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Creates a quaternion from the given rotation matrix. + * + * The created quaternion is not normalized. + * + * @param m - rotation matrix + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function fromMat(m, dst) { + const newDst = (dst ?? new Ctor(4)); + /* + 0 1 2 + 3 4 5 + 6 7 8 + + 0 1 2 + 4 5 6 + 8 9 10 + */ + // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes + // article "Quaternion Calculus and Fast Animation". + const trace = m[0] + m[5] + m[10]; + if (trace > 0.0) { + // |w| > 1/2, may as well choose w > 1/2 + const root = Math.sqrt(trace + 1); // 2w + newDst[3] = 0.5 * root; + const invRoot = 0.5 / root; // 1/(4w) + newDst[0] = (m[6] - m[9]) * invRoot; + newDst[1] = (m[8] - m[2]) * invRoot; + newDst[2] = (m[1] - m[4]) * invRoot; + } + else { + // |w| <= 1/2 + let i = 0; + if (m[5] > m[0]) { + i = 1; + } + if (m[10] > m[i * 4 + i]) { + i = 2; + } + const j = (i + 1) % 3; + const k = (i + 2) % 3; + const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0); + newDst[i] = 0.5 * root; + const invRoot = 0.5 / root; + newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot; + newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot; + newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot; + } + return newDst; + } + /** + * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion. + * + * @param xAngleInRadians - angle to rotate around X axis in radians. + * @param yAngleInRadians - angle to rotate around Y axis in radians. + * @param zAngleInRadians - angle to rotate around Z axis in radians. + * @param order - order to apply euler angles + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion representing the same rotation as the euler angles applied in the given order + */ + function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) { + const newDst = (dst ?? new Ctor(4)); + const xHalfAngle = xAngleInRadians * 0.5; + const yHalfAngle = yAngleInRadians * 0.5; + const zHalfAngle = zAngleInRadians * 0.5; + const sx = Math.sin(xHalfAngle); + const cx = Math.cos(xHalfAngle); + const sy = Math.sin(yHalfAngle); + const cy = Math.cos(yHalfAngle); + const sz = Math.sin(zHalfAngle); + const cz = Math.cos(zHalfAngle); + switch (order) { + case 'xyz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'xzy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yxz': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz - sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + case 'yzx': + newDst[0] = sx * cy * cz + cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zxy': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz + sx * sy * cz; + newDst[3] = cx * cy * cz - sx * sy * sz; + break; + case 'zyx': + newDst[0] = sx * cy * cz - cx * sy * sz; + newDst[1] = cx * sy * cz + sx * cy * sz; + newDst[2] = cx * cy * sz - sx * sy * cz; + newDst[3] = cx * cy * cz + sx * sy * sz; + break; + default: + throw new Error(`Unknown rotation order: ${order}`); + } + return newDst; + } + /** + * Copies a quaternion. (same as {@link quat.clone}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is a copy of q + */ + function copy(q, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = q[0]; + newDst[1] = q[1]; + newDst[2] = q[2]; + newDst[3] = q[3]; + return newDst; + } + /** + * Clones a quaternion. (same as {@link quat.copy}) + * Also see {@link quat.create} and {@link quat.set} + * @param q - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A copy of q. + */ + const clone = copy; + /** + * Adds two quaternions; assumes a and b have the same dimension. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two quaternions. + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns A quaternion that is the difference of a and b. + */ + const sub = subtract; + /** + * Multiplies a quaternion by a scalar. + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a quaternion by a scalar. (same as mulScalar) + * @param v - The quaternion. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The scaled quaternion. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Computes the dot product of two quaternions + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Performs linear interpolation on two quaternions. + * Given quaternions a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @param t - Interpolation coefficient. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Computes the length of quaternion + * @param v - quaternion. + * @returns length of quaternion. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of quaternion (same as length) + * @param v - quaternion. + * @returns length of quaternion. + */ + const len = length; + /** + * Computes the square of the length of quaternion + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of quaternion (same as lengthSq) + * @param v - quaternion. + * @returns square of the length of quaternion. + */ + const lenSq = lengthSq; + /** + * Divides a quaternion by its Euclidean length and returns the quotient. + * @param v - The quaternion. + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns The normalized quaternion. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Check if 2 quaternions are approximately equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 quaternions are exactly equal + * @param a - Operand quaternion. + * @param b - Operand quaternion. + * @returns true if quaternions are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Creates an identity quaternion + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns an identity quaternion + */ + function identity(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + const tempVec3 = vec3.create(); + const xUnitVec3 = vec3.create(); + const yUnitVec3 = vec3.create(); + /** + * Computes a quaternion to represent the shortest rotation from one vector to another. + * + * @param aUnit - the start vector + * @param bUnit - the end vector + * @param dst - quaternion to hold result. If not passed in a new one is created. + * @returns the result + */ + function rotationTo(aUnit, bUnit, dst) { + const newDst = (dst ?? new Ctor(4)); + const dot = vec3.dot(aUnit, bUnit); + if (dot < -0.999999) { + vec3.cross(xUnitVec3, aUnit, tempVec3); + if (vec3.len(tempVec3) < 0.000001) { + vec3.cross(yUnitVec3, aUnit, tempVec3); + } + vec3.normalize(tempVec3, tempVec3); + fromAxisAngle(tempVec3, Math.PI, newDst); + return newDst; + } + else if (dot > 0.999999) { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 1; + return newDst; + } + else { + vec3.cross(aUnit, bUnit, tempVec3); + newDst[0] = tempVec3[0]; + newDst[1] = tempVec3[1]; + newDst[2] = tempVec3[2]; + newDst[3] = 1 + dot; + return normalize(newDst, newDst); + } + } + const tempQuat1 = new Ctor(4); + const tempQuat2 = new Ctor(4); + /** + * Performs a spherical linear interpolation with two control points + * + * @param a - the first quaternion + * @param b - the second quaternion + * @param c - the third quaternion + * @param d - the fourth quaternion + * @param t - Interpolation coefficient 0 to 1 + * @returns result + */ + function sqlerp(a, b, c, d, t, dst) { + const newDst = (dst ?? new Ctor(4)); + slerp(a, d, t, tempQuat1); + slerp(b, c, t, tempQuat2); + slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst); + return newDst; } - return copy$3(a, dst); + return { + create, + fromValues, + set, + fromAxisAngle, + toAxisAngle, + angle, + multiply, + mul, + rotateX, + rotateY, + rotateZ, + slerp, + inverse, + conjugate, + fromMat, + fromEuler, + copy, + clone, + add, + subtract, + sub, + mulScalar, + scale, + divScalar, + dot, + lerp, + length, + len, + lengthSq, + lenSq, + normalize, + equalsApproximately, + equals, + identity, + rotationTo, + sqlerp, + }; } +const cache$1 = new Map(); /** - * Return the vector exactly between 2 endpoint vectors * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 - */ -function midpoint$1(a, b, dst) { - dst = dst || new VecType$1(3); - return lerp$2(a, b, 0.5, dst); -} - -var vec3Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - add: add$2, - addScaled: addScaled$1, - angle: angle$1, - ceil: ceil$1, - clamp: clamp$1, - clone: clone$3, - copy: copy$3, - create: create$4, - cross: cross, - dist: dist$1, - distSq: distSq$1, - distance: distance$1, - distanceSq: distanceSq$1, - div: div$1, - divScalar: divScalar$2, - divide: divide$1, - dot: dot$2, - equals: equals$3, - equalsApproximately: equalsApproximately$3, - floor: floor$1, - fromValues: fromValues$2, - getAxis: getAxis$1, - getScaling: getScaling$1, - getTranslation: getTranslation$1, - inverse: inverse$3, - invert: invert$2, - len: len$2, - lenSq: lenSq$2, - length: length$2, - lengthSq: lengthSq$2, - lerp: lerp$2, - lerpV: lerpV$1, - max: max$1, - midpoint: midpoint$1, - min: min$1, - mul: mul$3, - mulScalar: mulScalar$2, - multiply: multiply$3, - negate: negate$2, - normalize: normalize$2, - random: random, - rotateX: rotateX$2, - rotateY: rotateY$2, - rotateZ: rotateZ$2, - round: round$1, - scale: scale$3, - set: set$3, - setDefaultType: setDefaultType$5, - setLength: setLength$1, - sub: sub$2, - subtract: subtract$2, - transformMat3: transformMat3, - transformMat4: transformMat4$1, - transformMat4Upper3x3: transformMat4Upper3x3, - transformQuat: transformQuat, - truncate: truncate$1, - zero: zero$1 -}); - -/** - * 4x4 Matrix math math functions. + * Quat4 math functions. * - * Almost all functions take an optional `dst` argument. If it is not passed in the - * functions will create a new matrix. In other words you can do this + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Quat4`. In other words you can do this * - * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix + * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2. * * or * - * const mat = mat4.create(); - * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat. + * const v = quat4.create(); + * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * * The first style is often easier but depending on where it's used it generates garbage where * as there is almost never allocation with the second style. * - * It is always save to pass any matrix as the destination. So for example + * It is always safe to pass any vector as the destination. So for example * - * const mat = mat4.identity(); - * const trans = mat4.translation([1, 2, 3]); - * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat. + * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * */ -let MatType = Float32Array; -/** - * Sets the type this library creates for a Mat4 - * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array` - * @returns previous constructor for Mat4 - */ -function setDefaultType$3(ctor) { - const oldType = MatType; - MatType = ctor; - return oldType; +function getAPI$1(Ctor) { + let api = cache$1.get(Ctor); + if (!api) { + api = getAPIImpl$1(Ctor); + cache$1.set(Ctor, api); + } + return api; } -/** - * Create a Mat4 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat4's specified type - * it would be faster to use - * - * ``` - * const m = mat4.clone(someJSArray); - * ``` + +/* + * Copyright 2022 Gregg Tavares * - * Note: a consequence of the implementation is if your Mat4Type = `Array` - * instead of `Float32Array` or `Float64Array` then any values you - * don't pass in will be undefined. Usually this is not an issue since - * (a) using `Array` is rare and (b) using `mat4.create` is usually used - * to create a Mat4 to be filled out as in + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: * - * ``` - * const m = mat4.create(); - * mat4.perspective(fov, aspect, near, far, m); - * ``` + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @returns created from values. + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. */ -function create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) { - const dst = new MatType(16); - if (v0 !== undefined) { - dst[0] = v0; - if (v1 !== undefined) { - dst[1] = v1; - if (v2 !== undefined) { - dst[2] = v2; - if (v3 !== undefined) { - dst[3] = v3; - if (v4 !== undefined) { - dst[4] = v4; - if (v5 !== undefined) { - dst[5] = v5; - if (v6 !== undefined) { - dst[6] = v6; - if (v7 !== undefined) { - dst[7] = v7; - if (v8 !== undefined) { - dst[8] = v8; - if (v9 !== undefined) { - dst[9] = v9; - if (v10 !== undefined) { - dst[10] = v10; - if (v11 !== undefined) { - dst[11] = v11; - if (v12 !== undefined) { - dst[12] = v12; - if (v13 !== undefined) { - dst[13] = v13; - if (v14 !== undefined) { - dst[14] = v14; - if (v15 !== undefined) { - dst[15] = v15; - } - } - } - } - } - } - } - } - } - } - } +/** + * Generates am typed API for Vec4 + * */ +function getAPIImpl(Ctor) { + /** + * Creates a vec4; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param w - Initial w value. + * @returns the created vector + */ + function create(x, y, z, w) { + const newDst = new Ctor(4); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; + if (w !== undefined) { + newDst[3] = w; } } } } + return newDst; } - return dst; -} -/** - * Sets the values of a Mat4 - * Also see {@link mat4.create} and {@link mat4.copy} - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param v9 - value for element 9 - * @param v10 - value for element 10 - * @param v11 - value for element 11 - * @param v12 - value for element 12 - * @param v13 - value for element 13 - * @param v14 - value for element 14 - * @param v15 - value for element 15 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 created from values. - */ -function set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) { - dst = dst || new MatType(16); - dst[0] = v0; - dst[1] = v1; - dst[2] = v2; - dst[3] = v3; - dst[4] = v4; - dst[5] = v5; - dst[6] = v6; - dst[7] = v7; - dst[8] = v8; - dst[9] = v9; - dst[10] = v10; - dst[11] = v11; - dst[12] = v12; - dst[13] = v13; - dst[14] = v14; - dst[15] = v15; - return dst; -} -/** - * Creates a Mat4 from a Mat3 - * @param m3 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from m3 - */ -function fromMat3(m3, dst) { - dst = dst || new MatType(16); - dst[0] = m3[0]; - dst[1] = m3[1]; - dst[2] = m3[2]; - dst[3] = 0; - dst[4] = m3[4]; - dst[5] = m3[5]; - dst[6] = m3[6]; - dst[7] = 0; - dst[8] = m3[8]; - dst[9] = m3[9]; - dst[10] = m3[10]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a Mat4 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat4 made from q - */ -function fromQuat(q, dst) { - dst = dst || new MatType(16); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - dst[0] = 1 - yy - zz; - dst[1] = yx + wz; - dst[2] = zx - wy; - dst[3] = 0; - dst[4] = yx - wz; - dst[5] = 1 - xx - zz; - dst[6] = zy + wx; - dst[7] = 0; - dst[8] = zx + wy; - dst[9] = zy - wx; - dst[10] = 1 - xx - yy; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. - */ -function negate$1(m, dst) { - dst = dst || new MatType(16); - dst[0] = -m[0]; - dst[1] = -m[1]; - dst[2] = -m[2]; - dst[3] = -m[3]; - dst[4] = -m[4]; - dst[5] = -m[5]; - dst[6] = -m[6]; - dst[7] = -m[7]; - dst[8] = -m[8]; - dst[9] = -m[9]; - dst[10] = -m[10]; - dst[11] = -m[11]; - dst[12] = -m[12]; - dst[13] = -m[13]; - dst[14] = -m[14]; - dst[15] = -m[15]; - return dst; -} -/** - * Copies a matrix. (same as {@link mat4.clone}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -function copy$2(m, dst) { - dst = dst || new MatType(16); - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - return dst; -} -/** - * Copies a matrix (same as {@link mat4.copy}) - * Also see {@link mat4.create} and {@link mat4.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. - */ -const clone$2 = copy$2; -/** - * Check if 2 matrices are approximately equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are approximately equal - */ -function equalsApproximately$2(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[3] - b[3]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[7] - b[7]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON && - Math.abs(a[11] - b[11]) < EPSILON && - Math.abs(a[12] - b[12]) < EPSILON && - Math.abs(a[13] - b[13]) < EPSILON && - Math.abs(a[14] - b[14]) < EPSILON && - Math.abs(a[15] - b[15]) < EPSILON; -} -/** - * Check if 2 matrices are exactly equal - * @param a - Operand matrix. - * @param b - Operand matrix. - * @returns true if matrices are exactly equal - */ -function equals$2(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[3] === b[3] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[7] === b[7] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10] && - a[11] === b[11] && - a[12] === b[12] && - a[13] === b[13] && - a[14] === b[14] && - a[15] === b[15]; -} -/** - * Creates a 4-by-4 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 4-by-4 identity matrix. - */ -function identity$1(dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. - */ -function transpose(m, dst) { - dst = dst || new MatType(16); - if (dst === m) { - let t; - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[3]; - m[3] = m[12]; - m[12] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - t = m[7]; - m[7] = m[13]; - m[13] = t; - t = m[11]; - m[11] = m[14]; - m[14] = t; - return dst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - dst[0] = m00; - dst[1] = m10; - dst[2] = m20; - dst[3] = m30; - dst[4] = m01; - dst[5] = m11; - dst[6] = m21; - dst[7] = m31; - dst[8] = m02; - dst[9] = m12; - dst[10] = m22; - dst[11] = m32; - dst[12] = m03; - dst[13] = m13; - dst[14] = m23; - dst[15] = m33; - return dst; -} -/** - * Computes the inverse of a 4-by-4 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -function inverse$2(m, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const tmp12 = m20 * m31; - const tmp13 = m30 * m21; - const tmp14 = m10 * m31; - const tmp15 = m30 * m11; - const tmp16 = m10 * m21; - const tmp17 = m20 * m11; - const tmp18 = m00 * m31; - const tmp19 = m30 * m01; - const tmp20 = m00 * m21; - const tmp21 = m20 * m01; - const tmp22 = m00 * m11; - const tmp23 = m10 * m01; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3); - dst[0] = d * t0; - dst[1] = d * t1; - dst[2] = d * t2; - dst[3] = d * t3; - dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) - - (tmp0 * m10 + tmp3 * m20 + tmp4 * m30)); - dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) - - (tmp1 * m00 + tmp6 * m20 + tmp9 * m30)); - dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) - - (tmp2 * m00 + tmp7 * m10 + tmp10 * m30)); - dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) - - (tmp5 * m00 + tmp8 * m10 + tmp11 * m20)); - dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) - - (tmp13 * m13 + tmp14 * m23 + tmp17 * m33)); - dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) - - (tmp12 * m03 + tmp19 * m23 + tmp20 * m33)); - dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) - - (tmp15 * m03 + tmp18 * m13 + tmp23 * m33)); - dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) - - (tmp16 * m03 + tmp21 * m13 + tmp22 * m23)); - dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) - - (tmp16 * m32 + tmp12 * m12 + tmp15 * m22)); - dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) - - (tmp18 * m22 + tmp21 * m32 + tmp13 * m02)); - dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) - - (tmp22 * m32 + tmp14 * m02 + tmp19 * m12)); - dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) - - (tmp20 * m12 + tmp23 * m22 + tmp17 * m02)); - return dst; -} -/** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant - */ -function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - const tmp0 = m22 * m33; - const tmp1 = m32 * m23; - const tmp2 = m12 * m33; - const tmp3 = m32 * m13; - const tmp4 = m12 * m23; - const tmp5 = m22 * m13; - const tmp6 = m02 * m33; - const tmp7 = m32 * m03; - const tmp8 = m02 * m23; - const tmp9 = m22 * m03; - const tmp10 = m02 * m13; - const tmp11 = m12 * m03; - const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) - - (tmp1 * m11 + tmp2 * m21 + tmp5 * m31); - const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) - - (tmp0 * m01 + tmp7 * m21 + tmp8 * m31); - const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) - - (tmp3 * m01 + tmp6 * m11 + tmp11 * m31); - const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) - - (tmp4 * m01 + tmp9 * m11 + tmp10 * m21); - return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3; -} -/** - * Computes the inverse of a 4-by-4 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. - */ -const invert$1 = inverse$2; -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -function multiply$2(a, b, dst) { - dst = dst || new MatType(16); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a03 = a[3]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a13 = a[4 + 3]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const a23 = a[8 + 3]; - const a30 = a[12 + 0]; - const a31 = a[12 + 1]; - const a32 = a[12 + 2]; - const a33 = a[12 + 3]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b03 = b[3]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b13 = b[4 + 3]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - const b23 = b[8 + 3]; - const b30 = b[12 + 0]; - const b31 = b[12 + 1]; - const b32 = b[12 + 2]; - const b33 = b[12 + 3]; - dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03; - dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03; - dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03; - dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03; - dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13; - dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13; - dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13; - dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13; - dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23; - dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23; - dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23; - dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23; - dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33; - dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33; - dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33; - dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33; - return dst; -} -/** - * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ -const mul$2 = multiply$2; -/** - * Sets the translation component of a 4-by-4 matrix to the given - * vector. - * @param a - The matrix. - * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. - */ -function setTranslation(a, v, dst) { - dst = dst || identity$1(); - if (a !== dst) { - dst[0] = a[0]; - dst[1] = a[1]; - dst[2] = a[2]; - dst[3] = a[3]; - dst[4] = a[4]; - dst[5] = a[5]; - dst[6] = a[6]; - dst[7] = a[7]; - dst[8] = a[8]; - dst[9] = a[9]; - dst[10] = a[10]; - dst[11] = a[11]; - } - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. - */ -function getTranslation(m, dst) { - dst = dst || create$4(); - dst[0] = m[12]; - dst[1] = m[13]; - dst[2] = m[14]; - return dst; -} -/** - * Returns an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @returns The axis component of m. - */ -function getAxis(m, axis, dst) { - dst = dst || create$4(); - const off = axis * 4; - dst[0] = m[off + 0]; - dst[1] = m[off + 1]; - dst[2] = m[off + 2]; - return dst; -} -/** - * Sets an axis of a 4x4 matrix as a vector with 3 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y, 2 = z; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. - */ -function setAxis(a, v, axis, dst) { - if (dst !== a) { - dst = copy$2(a, dst); - } - const off = axis * 4; - dst[off + 0] = v[0]; - dst[off + 1] = v[1]; - dst[off + 2] = v[2]; - return dst; -} -/** - * Returns the scaling component of the matrix - * @param m - The Matrix - * @param dst - The vector to set. If not passed a new one is created. - */ -function getScaling(m, dst) { - dst = dst || create$4(); - const xx = m[0]; - const xy = m[1]; - const xz = m[2]; - const yx = m[4]; - const yy = m[5]; - const yz = m[6]; - const zx = m[8]; - const zy = m[9]; - const zz = m[10]; - dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); - dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); - dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); - return dst; + /** + * Creates a vec4; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @param z - Initial w value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec4 + * Also see {@link vec4.create} and {@link vec4.copy} + * + * @param x first value + * @param y second value + * @param z third value + * @param w fourth value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. + */ + function set(x, y, z, w, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; + newDst[3] = w; + return newDst; + } + /** + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. + */ + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); + newDst[3] = Math.ceil(v[3]); + return newDst; + } + /** + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. + */ + function floor(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); + newDst[3] = Math.floor(v[3]); + return newDst; + } + /** + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. + */ + function round(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); + newDst[3] = Math.round(v[3]); + return newDst; + } + /** + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. + */ + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); + newDst[3] = Math.min(max, Math.max(min, v[3])); + return newDst; + } + /** + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. + */ + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + newDst[3] = a[3] + b[3]; + return newDst; + } + /** + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + newDst[3] = a[3] + b[3] * scale; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + newDst[3] = a[3] - b[3]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal + */ + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[3] - b[3]) < EPSILON; + } + /** + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal + */ + function equals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. + */ + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); + newDst[3] = a[3] + t * (b[3] - a[3]); + return newDst; + } + /** + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. + */ + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[3] = a[3] + t[3] * (b[3] - a[3]); + return newDst; + } + /** + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. + */ + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); + newDst[3] = Math.max(a[3], b[3]); + return newDst; + } + /** + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. + */ + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + newDst[3] = Math.min(a[3], b[3]); + return newDst; + } + /** + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + newDst[3] = v[3] * k; + return newDst; + } + /** + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + const scale = mulScalar; + /** + * Divides a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. + */ + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; + newDst[3] = v[3] / k; + return newDst; + } + /** + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; + newDst[3] = 1 / v[3]; + return newDst; + } + /** + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. + */ + const invert = inverse; + /** + * Computes the dot product of two vectors + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product + */ + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]); + } + /** + * Computes the length of vector + * @param v - vector. + * @returns length of vector. + */ + function length(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + } + /** + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. + */ + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3; + } + /** + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. + */ + const lenSq = lengthSq; + /** + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw); + } + /** + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b + */ + const dist = distance; + /** + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + const dw = a[3] - b[3]; + return dx * dx + dy * dy + dz * dz + dw * dw; + } + /** + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b + */ + const distSq = distanceSq; + /** + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. + */ + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(4)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const v3 = v[3]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + newDst[3] = v3 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + } + return newDst; + } + /** + * Negates a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns -v. + */ + function negate(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; + newDst[3] = -v[3]; + return newDst; + } + /** + * Copies a vector. (same as {@link vec4.clone}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + function copy(v, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; + newDst[3] = v[3]; + return newDst; + } + /** + * Clones a vector. (same as {@link vec4.copy}) + * Also see {@link vec4.create} and {@link vec4.set} + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A copy of v. + */ + const clone = copy; + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; + newDst[3] = a[3] * b[3]; + return newDst; + } + /** + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of products of entries of a and b. + */ + const mul = multiply; + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + function divide(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; + newDst[3] = a[3] / b[3]; + return newDst; + } + /** + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of quotients of entries of a and b. + */ + const div = divide; + /** + * Zero's a vector + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The zeroed vector. + */ + function zero(dst) { + const newDst = (dst ?? new Ctor(4)); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; + newDst[3] = 0; + return newDst; + } + /** + * transform vec4 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec4 to store result. If not passed a new one is created. + * @returns the transformed vector + */ + function transformMat4(v, m, dst) { + const newDst = (dst ?? new Ctor(4)); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = v[3]; + newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; + newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; + newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; + newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; + return newDst; + } + /** + * Treat a 4D vector as a direction and set it's length + * + * @param a The vec4 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector + */ + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(4)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); + } + /** + * Ensure a vector is not longer than a max length + * + * @param a The vec4 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long + */ + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(4)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } + /** + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 + */ + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(4)); + return lerp(a, b, 0.5, newDst); + } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + zero, + transformMat4, + setLength, + truncate, + midpoint, + }; } +const cache = new Map(); /** - * Computes a 4-by-4 perspective transformation matrix given the angular height - * of the frustum, the aspect ratio, and the near and far clipping planes. The - * arguments define a frustum extending in the negative z direction. The given - * angle is the vertical angle of the frustum, and the horizontal angle is - * determined to produce the given aspect ratio. The arguments near and far are - * the distances to the near and far clipping planes. Note that near and far - * are not z coordinates, but rather they are distances along the negative - * z-axis. The matrix generated sends the viewing frustum to the unit box. - * We assume a unit box extending from -1 to 1 in the x and y dimensions and - * from 0 to 1 in the z dimension. - * - * Note: If you pass `Infinity` for zFar then it will produce a projection matrix - * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z - * otherwise. * - * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians). - * @param aspect - The aspect ratio width / height. - * @param zNear - The depth (negative z coordinate) - * of the near clipping plane. - * @param zFar - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The perspective matrix. - */ -function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) { - dst = dst || new MatType(16); - const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians); - dst[0] = f / aspect; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = f; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[15] = 0; - if (zFar === Infinity) { - dst[10] = -1; - dst[14] = -zNear; - } - else { - const rangeInv = 1 / (zNear - zFar); - dst[10] = zFar * rangeInv; - dst[14] = zFar * zNear * rangeInv; - } - return dst; -} -/** - * Computes a 4-by-4 orthogonal transformation matrix that transforms from - * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y - * and 0 to +1 in z. - * @param left - Left side of the near clipping plane viewport. - * @param right - Right side of the near clipping plane viewport. - * @param bottom - Bottom of the near clipping plane viewport. - * @param top - Top of the near clipping plane viewport. - * @param near - The depth (negative z coordinate) - * of the near clipping plane. - * @param far - The depth (negative z coordinate) - * of the far clipping plane. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The orthographic projection matrix. - */ -function ortho(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - dst[0] = 2 / (right - left); - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 / (top - bottom); - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1 / (near - far); - dst[11] = 0; - dst[12] = (right + left) / (left - right); - dst[13] = (top + bottom) / (bottom - top); - dst[14] = near / (near - far); - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 perspective transformation matrix given the left, right, - * top, bottom, near and far clipping planes. The arguments define a frustum - * extending in the negative z direction. The arguments near and far are the - * distances to the near and far clipping planes. Note that near and far are not - * z coordinates, but rather they are distances along the negative z-axis. The - * matrix generated sends the viewing frustum to the unit box. We assume a unit - * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z - * dimension. - * @param left - The x coordinate of the left plane of the box. - * @param right - The x coordinate of the right plane of the box. - * @param bottom - The y coordinate of the bottom plane of the box. - * @param top - The y coordinate of the right plane of the box. - * @param near - The negative z coordinate of the near plane of the box. - * @param far - The negative z coordinate of the far plane of the box. - * @param dst - Output matrix. If not passed a new one is created. - * @returns The perspective projection matrix. - */ -function frustum(left, right, bottom, top, near, far, dst) { - dst = dst || new MatType(16); - const dx = (right - left); - const dy = (top - bottom); - const dz = (near - far); - dst[0] = 2 * near / dx; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 2 * near / dy; - dst[6] = 0; - dst[7] = 0; - dst[8] = (left + right) / dx; - dst[9] = (top + bottom) / dy; - dst[10] = far / dz; - dst[11] = -1; - dst[12] = 0; - dst[13] = 0; - dst[14] = near * far / dz; - dst[15] = 0; - return dst; -} -let xAxis; -let yAxis; -let zAxis; -/** - * Computes a 4-by-4 aim transformation. + * Vec4 math functions. * - * This is a matrix which positions an object aiming down positive Z. - * toward the target. + * Almost all functions take an optional `newDst` argument. If it is not passed in the + * functions will create a new `Vec4`. In other words you can do this * - * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z. + * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2. * - * @param position - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function aim(position, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(target, position, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = position[0]; - dst[13] = position[1]; - dst[14] = position[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 camera aim transformation. + * or * - * This is a matrix which positions an object aiming down negative Z. - * toward the target. + * const v = vec4.create(); + * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v * - * Note: this is the inverse of `lookAt` + * The first style is often easier but depending on where it's used it generates garbage where + * as there is almost never allocation with the second style. * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The aim matrix. - */ -function cameraAim(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = xAxis[1]; - dst[2] = xAxis[2]; - dst[3] = 0; - dst[4] = yAxis[0]; - dst[5] = yAxis[1]; - dst[6] = yAxis[2]; - dst[7] = 0; - dst[8] = zAxis[0]; - dst[9] = zAxis[1]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = eye[0]; - dst[13] = eye[1]; - dst[14] = eye[2]; - dst[15] = 1; - return dst; -} -/** - * Computes a 4-by-4 view transformation. + * It is always safe to pass any vector as the destination. So for example * - * This is a view matrix which transforms all other objects - * to be in the space of the view defined by the parameters. + * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1 * - * @param eye - The position of the object. - * @param target - The position meant to be aimed at. - * @param up - A vector pointing up. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The look-at matrix. - */ -function lookAt(eye, target, up, dst) { - dst = dst || new MatType(16); - xAxis = xAxis || create$4(); - yAxis = yAxis || create$4(); - zAxis = zAxis || create$4(); - normalize$2(subtract$2(eye, target, zAxis), zAxis); - normalize$2(cross(up, zAxis, xAxis), xAxis); - normalize$2(cross(zAxis, xAxis, yAxis), yAxis); - dst[0] = xAxis[0]; - dst[1] = yAxis[0]; - dst[2] = zAxis[0]; - dst[3] = 0; - dst[4] = xAxis[1]; - dst[5] = yAxis[1]; - dst[6] = zAxis[1]; - dst[7] = 0; - dst[8] = xAxis[2]; - dst[9] = yAxis[2]; - dst[10] = zAxis[2]; - dst[11] = 0; - dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]); - dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]); - dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]); - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which translates by the given vector v. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. - */ -function translation(v, dst) { - dst = dst || new MatType(16); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = v[0]; - dst[13] = v[1]; - dst[14] = v[2]; - dst[15] = 1; - return dst; -} -/** - * Translates the given 4-by-4 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by - * which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. - */ -function translate(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const m30 = m[3 * 4 + 0]; - const m31 = m[3 * 4 + 1]; - const m32 = m[3 * 4 + 2]; - const m33 = m[3 * 4 + 3]; - if (m !== dst) { - dst[0] = m00; - dst[1] = m01; - dst[2] = m02; - dst[3] = m03; - dst[4] = m10; - dst[5] = m11; - dst[6] = m12; - dst[7] = m13; - dst[8] = m20; - dst[9] = m21; - dst[10] = m22; - dst[11] = m23; - } - dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30; - dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31; - dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32; - dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationX(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = 1; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = c; - dst[6] = s; - dst[7] = 0; - dst[8] = 0; - dst[9] = -s; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the x-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. */ -function rotateX$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[4] = c * m10 + s * m20; - dst[5] = c * m11 + s * m21; - dst[6] = c * m12 + s * m22; - dst[7] = c * m13 + s * m23; - dst[8] = c * m20 - s * m10; - dst[9] = c * m21 - s * m11; - dst[10] = c * m22 - s * m12; - dst[11] = c * m23 - s * m13; - if (m !== dst) { - dst[0] = m[0]; - dst[1] = m[1]; - dst[2] = m[2]; - dst[3] = m[3]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationY(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = 0; - dst[2] = -s; - dst[3] = 0; - dst[4] = 0; - dst[5] = 1; - dst[6] = 0; - dst[7] = 0; - dst[8] = s; - dst[9] = 0; - dst[10] = c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the y-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateY$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const m23 = m[2 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 - s * m20; - dst[1] = c * m01 - s * m21; - dst[2] = c * m02 - s * m22; - dst[3] = c * m03 - s * m23; - dst[8] = c * m20 + s * m00; - dst[9] = c * m21 + s * m01; - dst[10] = c * m22 + s * m02; - dst[11] = c * m23 + s * m03; - if (m !== dst) { - dst[4] = m[4]; - dst[5] = m[5]; - dst[6] = m[6]; - dst[7] = m[7]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. - */ -function rotationZ(angleInRadians, dst) { - dst = dst || new MatType(16); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c; - dst[1] = s; - dst[2] = 0; - dst[3] = 0; - dst[4] = -s; - dst[5] = c; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = 1; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the z-axis by the given - * angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function rotateZ$1(m, angleInRadians, dst) { - dst = dst || new MatType(16); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m03 = m[0 * 4 + 3]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m13 = m[1 * 4 + 3]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - dst[0] = c * m00 + s * m10; - dst[1] = c * m01 + s * m11; - dst[2] = c * m02 + s * m12; - dst[3] = c * m03 + s * m13; - dst[4] = c * m10 - s * m00; - dst[5] = c * m11 - s * m01; - dst[6] = c * m12 - s * m02; - dst[7] = c * m13 - s * m03; - if (m !== dst) { - dst[8] = m[8]; - dst[9] = m[9]; - dst[10] = m[10]; - dst[11] = m[11]; - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -function axisRotation(axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - dst[0] = xx + (1 - xx) * c; - dst[1] = x * y * oneMinusCosine + z * s; - dst[2] = x * z * oneMinusCosine - y * s; - dst[3] = 0; - dst[4] = x * y * oneMinusCosine - z * s; - dst[5] = yy + (1 - yy) * c; - dst[6] = y * z * oneMinusCosine + x * s; - dst[7] = 0; - dst[8] = x * z * oneMinusCosine + y * s; - dst[9] = y * z * oneMinusCosine - x * s; - dst[10] = zz + (1 - zz) * c; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Creates a 4-by-4 matrix which rotates around the given axis by the given - * angle. (same as axisRotation) - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A matrix which rotates angle radians - * around the axis. - */ -const rotation = axisRotation; -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -function axisRotate(m, axis, angleInRadians, dst) { - dst = dst || new MatType(16); - let x = axis[0]; - let y = axis[1]; - let z = axis[2]; - const n = Math.sqrt(x * x + y * y + z * z); - x /= n; - y /= n; - z /= n; - const xx = x * x; - const yy = y * y; - const zz = z * z; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - const oneMinusCosine = 1 - c; - const r00 = xx + (1 - xx) * c; - const r01 = x * y * oneMinusCosine + z * s; - const r02 = x * z * oneMinusCosine - y * s; - const r10 = x * y * oneMinusCosine - z * s; - const r11 = yy + (1 - yy) * c; - const r12 = y * z * oneMinusCosine + x * s; - const r20 = x * z * oneMinusCosine + y * s; - const r21 = y * z * oneMinusCosine - x * s; - const r22 = zz + (1 - zz) * c; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m03 = m[3]; - const m10 = m[4]; - const m11 = m[5]; - const m12 = m[6]; - const m13 = m[7]; - const m20 = m[8]; - const m21 = m[9]; - const m22 = m[10]; - const m23 = m[11]; - dst[0] = r00 * m00 + r01 * m10 + r02 * m20; - dst[1] = r00 * m01 + r01 * m11 + r02 * m21; - dst[2] = r00 * m02 + r01 * m12 + r02 * m22; - dst[3] = r00 * m03 + r01 * m13 + r02 * m23; - dst[4] = r10 * m00 + r11 * m10 + r12 * m20; - dst[5] = r10 * m01 + r11 * m11 + r12 * m21; - dst[6] = r10 * m02 + r11 * m12 + r12 * m22; - dst[7] = r10 * m03 + r11 * m13 + r12 * m23; - dst[8] = r20 * m00 + r21 * m10 + r22 * m20; - dst[9] = r20 * m01 + r21 * m11 + r22 * m21; - dst[10] = r20 * m02 + r21 * m12 + r22 * m22; - dst[11] = r20 * m03 + r21 * m13 + r22 * m23; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Rotates the given 4-by-4 matrix around the given axis by the - * given angle. (same as rotate) - * @param m - The matrix. - * @param axis - The axis - * about which to rotate. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. - */ -const rotate = axisRotate; -/** - * Creates a 4-by-4 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * three entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function scaling(v, dst) { - dst = dst || new MatType(16); - dst[0] = v[0]; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = v[1]; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = v[2]; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; -} -/** - * Scales the given 4-by-4 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of three entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. - */ -function scale$2(m, v, dst) { - dst = dst || new MatType(16); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - dst[0] = v0 * m[0 * 4 + 0]; - dst[1] = v0 * m[0 * 4 + 1]; - dst[2] = v0 * m[0 * 4 + 2]; - dst[3] = v0 * m[0 * 4 + 3]; - dst[4] = v1 * m[1 * 4 + 0]; - dst[5] = v1 * m[1 * 4 + 1]; - dst[6] = v1 * m[1 * 4 + 2]; - dst[7] = v1 * m[1 * 4 + 3]; - dst[8] = v2 * m[2 * 4 + 0]; - dst[9] = v2 * m[2 * 4 + 1]; - dst[10] = v2 * m[2 * 4 + 2]; - dst[11] = v2 * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; -} -/** - * Creates a 4-by-4 matrix which scales a uniform amount in each dimension. - * @param s - the amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. - */ -function uniformScaling(s, dst) { - dst = dst || new MatType(16); - dst[0] = s; - dst[1] = 0; - dst[2] = 0; - dst[3] = 0; - dst[4] = 0; - dst[5] = s; - dst[6] = 0; - dst[7] = 0; - dst[8] = 0; - dst[9] = 0; - dst[10] = s; - dst[11] = 0; - dst[12] = 0; - dst[13] = 0; - dst[14] = 0; - dst[15] = 1; - return dst; +function getAPI(Ctor) { + let api = cache.get(Ctor); + if (!api) { + api = getAPIImpl(Ctor); + cache.set(Ctor, api); + } + return api; } + /** - * Scales the given 4-by-4 matrix in each dimension by a uniform scale. - * @param m - The matrix to be modified. - * @param s - The amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Generate wgpu-matrix API for type */ -function uniformScale(m, s, dst) { - dst = dst || new MatType(16); - dst[0] = s * m[0 * 4 + 0]; - dst[1] = s * m[0 * 4 + 1]; - dst[2] = s * m[0 * 4 + 2]; - dst[3] = s * m[0 * 4 + 3]; - dst[4] = s * m[1 * 4 + 0]; - dst[5] = s * m[1 * 4 + 1]; - dst[6] = s * m[1 * 4 + 2]; - dst[7] = s * m[1 * 4 + 3]; - dst[8] = s * m[2 * 4 + 0]; - dst[9] = s * m[2 * 4 + 1]; - dst[10] = s * m[2 * 4 + 2]; - dst[11] = s * m[2 * 4 + 3]; - if (m !== dst) { - dst[12] = m[12]; - dst[13] = m[13]; - dst[14] = m[14]; - dst[15] = m[15]; - } - return dst; +function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { + return { + /** @namespace mat4 */ + mat4: getAPI$2(Mat3Ctor), + /** @namespace mat3 */ + mat3: getAPI$4(Mat4Ctor), + /** @namespace quat */ + quat: getAPI$1(QuatCtor), + /** @namespace vec2 */ + vec2: getAPI$5(Vec2Ctor), + /** @namespace vec3 */ + vec3: getAPI$3(Vec3Ctor), + /** @namespace vec4 */ + vec4: getAPI(Vec4Ctor), + }; } - -var mat4Impl = /*#__PURE__*/Object.freeze({ - __proto__: null, - aim: aim, - axisRotate: axisRotate, - axisRotation: axisRotation, - cameraAim: cameraAim, - clone: clone$2, - copy: copy$2, - create: create$2, - determinant: determinant, - equals: equals$2, - equalsApproximately: equalsApproximately$2, - fromMat3: fromMat3, - fromQuat: fromQuat, - frustum: frustum, - getAxis: getAxis, - getScaling: getScaling, - getTranslation: getTranslation, - identity: identity$1, - inverse: inverse$2, - invert: invert$1, - lookAt: lookAt, - mul: mul$2, - multiply: multiply$2, - negate: negate$1, - ortho: ortho, - perspective: perspective, - rotate: rotate, - rotateX: rotateX$1, - rotateY: rotateY$1, - rotateZ: rotateZ$1, - rotation: rotation, - rotationX: rotationX, - rotationY: rotationY, - rotationZ: rotationZ, - scale: scale$2, - scaling: scaling, - set: set$2, - setAxis: setAxis, - setDefaultType: setDefaultType$3, - setTranslation: setTranslation, - translate: translate, - translation: translation, - transpose: transpose, - uniformScale: uniformScale, - uniformScaling: uniformScaling -}); +const { +/** @namespace */ +mat4, +/** @namespace */ +mat3, +/** @namespace */ +quat, +/** @namespace */ +vec2, +/** @namespace */ +vec3, +/** @namespace */ +vec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array); +wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array); +wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array); const cubeVertexSize = 4 * 10; // Byte size of one cube vertex. const cubePositionOffset = 0; @@ -2731,14 +5691,14 @@ async function init(canvas) { }, }; const aspect = canvas.width / canvas.height; - const projectionMatrix = mat4Impl.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); - const modelViewProjectionMatrix = mat4Impl.create(); + const projectionMatrix = mat4.perspective((2 * Math.PI) / 5, aspect, 1, 100.0); + const modelViewProjectionMatrix = mat4.create(); function getTransformationMatrix() { - const viewMatrix = mat4Impl.identity(); - mat4Impl.translate(viewMatrix, vec3Impl.fromValues(0, 0, -4), viewMatrix); + const viewMatrix = mat4.identity(); + mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix); const now = Date.now() / 1000; - mat4Impl.rotate(viewMatrix, vec3Impl.fromValues(Math.sin(now), Math.cos(now), 0), 1, viewMatrix); - mat4Impl.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); + mat4.rotate(viewMatrix, vec3.fromValues(Math.sin(now), Math.cos(now), 0), 1, viewMatrix); + mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); return modelViewProjectionMatrix; } function frame() { diff --git a/sample/worker/worker.js.map b/sample/worker/worker.js.map index ecc3943c..74959562 100644 --- a/sample/worker/worker.js.map +++ b/sample/worker/worker.js.map @@ -1 +1 @@ -{"version":3,"file":"worker.js","sources":["../../../node_modules/wgpu-matrix/dist/2.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/worker/worker.ts"],"sourcesContent":["/* wgpu-matrix@2.8.0, license MIT */\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp$4(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = /*#__PURE__*/Object.freeze({\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp$4,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec2 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new Vec2. In other words you can do this\n *\n * const v = vec2.cross(v1, v2); // Creates a new Vec2 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec2.create();\n * vec2.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec2.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$2 = Float32Array;\n/**\n * Sets the type this library creates for a Vec2\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec2\n */\nfunction setDefaultType$6(ctor) {\n const oldType = VecType$2;\n VecType$2 = ctor;\n return oldType;\n}\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Vec2Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `vec2.create` is usually used\n * to create a Vec2 to be filled out as in\n *\n * ```\n * const sum = vec2.create();\n * vec2.add(v1, v2, sum);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create$5(x = 0, y = 0) {\n const dst = new VecType$2(2);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec3 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec3`. In other words you can do this\n *\n * const v = vec3.cross(v1, v2); // Creates a new Vec3 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec3.create();\n * vec3.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec3.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType$1 = Float32Array;\n/**\n * Sets the type this library creates for a Vec3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec3\n */\nfunction setDefaultType$5(ctor) {\n const oldType = VecType$1;\n VecType$1 = ctor;\n return oldType;\n}\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create$4(x, y, z) {\n const dst = new VecType$1(3);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues$3 = create$5;\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$5(x, y, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = x;\n dst[1] = y;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$2(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$2(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$2(a, b, scale, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$2(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = a[0];\n const by = a[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot$3(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$3(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$3 = subtract$3;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$5(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$5(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$3(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$2(a, b, t, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$5 = mulScalar$3;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$3(v, k, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$4 = inverse$5;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n const z = a[0] * b[1] - a[1] * b[0];\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = z;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$3(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$3 = length$3;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$3(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$3 = lengthSq$3;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$2 = distance$2;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$2(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$2 = distanceSq$2;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$3(v, dst) {\n dst = dst || new VecType$2(2);\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$4(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = -v[0];\n dst[1] = -v[1];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$5(v, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = v[0];\n dst[1] = v[1];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$5 = copy$5;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$5(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$5 = multiply$5;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$2 = divide$2;\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random$1(scale = 1, dst) {\n dst = dst || new VecType$2(2);\n const angle = Math.random() * 2 * Math.PI;\n dst[0] = Math.cos(angle) * scale;\n dst[1] = Math.sin(angle) * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$2(dst) {\n dst = dst || new VecType$2(2);\n dst[0] = 0;\n dst[1] = 0;\n return dst;\n}\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$2(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = x * m[0] + y * m[4] + m[12];\n dst[1] = x * m[1] + y * m[5] + m[13];\n return dst;\n}\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3$1(v, m, dst) {\n dst = dst || new VecType$2(2);\n const x = v[0];\n const y = v[1];\n dst[0] = m[0] * x + m[4] * y + m[8];\n dst[1] = m[1] * x + m[5] * y + m[9];\n return dst;\n}\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate$2(a, b, rad, dst) {\n dst = dst || new VecType$2(2);\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n dst[0] = p0 * cosC - p1 * sinC + b[0];\n dst[1] = p0 * sinC + p1 * cosC + b[1];\n return dst;\n}\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$2(a, len, dst) {\n dst = dst || new VecType$2(2);\n normalize$3(a, dst);\n return mulScalar$3(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$2(a, maxLen, dst) {\n dst = dst || new VecType$2(2);\n if (length$3(a) > maxLen) {\n return setLength$2(a, maxLen, dst);\n }\n return copy$5(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$2(a, b, dst) {\n dst = dst || new VecType$2(2);\n return lerp$3(a, b, 0.5, dst);\n}\n\nvar vec2Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$3,\n addScaled: addScaled$2,\n angle: angle$2,\n ceil: ceil$2,\n clamp: clamp$2,\n clone: clone$5,\n copy: copy$5,\n create: create$5,\n cross: cross$1,\n dist: dist$2,\n distSq: distSq$2,\n distance: distance$2,\n distanceSq: distanceSq$2,\n div: div$2,\n divScalar: divScalar$3,\n divide: divide$2,\n dot: dot$3,\n equals: equals$5,\n equalsApproximately: equalsApproximately$5,\n floor: floor$2,\n fromValues: fromValues$3,\n inverse: inverse$5,\n invert: invert$4,\n len: len$3,\n lenSq: lenSq$3,\n length: length$3,\n lengthSq: lengthSq$3,\n lerp: lerp$3,\n lerpV: lerpV$2,\n max: max$2,\n midpoint: midpoint$2,\n min: min$2,\n mul: mul$5,\n mulScalar: mulScalar$3,\n multiply: multiply$5,\n negate: negate$4,\n normalize: normalize$3,\n random: random$1,\n rotate: rotate$2,\n round: round$2,\n scale: scale$5,\n set: set$5,\n setDefaultType: setDefaultType$6,\n setLength: setLength$2,\n sub: sub$3,\n subtract: subtract$3,\n transformMat3: transformMat3$1,\n transformMat4: transformMat4$2,\n truncate: truncate$2,\n zero: zero$2\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * 3x3 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat3.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat3.create();\n * mat3.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat3.identity();\n * const trans = mat3.translation([1, 2, 3]);\n * mat3.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType$1 = Float32Array;\n// This mess is because with Mat3 we have 3 unused elements.\n// For Float32Array and Float64Array that's not an issue\n// but for Array it's troublesome\nconst ctorMap = new Map([\n [Float32Array, () => new Float32Array(12)],\n [Float64Array, () => new Float64Array(12)],\n [Array, () => new Array(12).fill(0)],\n]);\nlet newMat3 = ctorMap.get(Float32Array);\n/**\n * Sets the type this library creates for a Mat3\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat3\n */\nfunction setDefaultType$4(ctor) {\n const oldType = MatType$1;\n MatType$1 = ctor;\n newMat3 = ctorMap.get(ctor);\n return oldType;\n}\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat3Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat3.create` is usually used\n * to create a Mat3 to be filled out as in\n *\n * ```\n * const m = mat3.create();\n * mat3.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create$3(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const dst = newMat3();\n // to make the array homogenous\n dst[3] = 0;\n dst[7] = 0;\n dst[11] = 0;\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[4] = v3;\n if (v4 !== undefined) {\n dst[5] = v4;\n if (v5 !== undefined) {\n dst[6] = v5;\n if (v6 !== undefined) {\n dst[8] = v6;\n if (v7 !== undefined) {\n dst[9] = v7;\n if (v8 !== undefined) {\n dst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set$4(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n dst = dst || newMat3();\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = 0;\n dst[4] = v3;\n dst[5] = v4;\n dst[6] = v5;\n dst[7] = 0;\n dst[8] = v6;\n dst[9] = v7;\n dst[10] = v8;\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4, dst) {\n dst = dst || newMat3();\n dst[0] = m4[0];\n dst[1] = m4[1];\n dst[2] = m4[2];\n dst[3] = 0;\n dst[4] = m4[4];\n dst[5] = m4[5];\n dst[6] = m4[6];\n dst[7] = 0;\n dst[8] = m4[8];\n dst[9] = m4[9];\n dst[10] = m4[10];\n dst[11] = 0;\n return dst;\n}\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat$1(q, dst) {\n dst = dst || newMat3();\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$3(m, dst) {\n dst = dst || newMat3();\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$4(m, dst) {\n dst = dst || newMat3();\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$4 = copy$4;\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$4(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$4(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n}\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity$2(dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose$1(m, dst) {\n dst = dst || newMat3();\n if (dst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n return dst;\n}\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$4(m, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n dst[0] = b01 * invDet;\n dst[1] = (-m22 * m01 + m02 * m21) * invDet;\n dst[2] = (m12 * m01 - m02 * m11) * invDet;\n dst[4] = b11 * invDet;\n dst[5] = (m22 * m00 - m02 * m20) * invDet;\n dst[6] = (-m12 * m00 + m02 * m10) * invDet;\n dst[8] = b21 * invDet;\n dst[9] = (-m21 * m00 + m01 * m20) * invDet;\n dst[10] = (m11 * m00 - m01 * m10) * invDet;\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant$1(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$3 = inverse$4;\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$4(a, b, dst) {\n dst = dst || newMat3();\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return dst;\n}\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$4 = multiply$4;\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation$1(a, v, dst) {\n dst = dst || identity$2();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n }\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$2(m, dst) {\n dst = dst || create$5();\n dst[0] = m[8];\n dst[1] = m[9];\n return dst;\n}\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis$2(m, axis, dst) {\n dst = dst || create$5();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n return dst;\n}\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis$1(m, v, axis, dst) {\n if (dst !== m) {\n dst = copy$4(m, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$2(m, dst) {\n dst = dst || create$5();\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n dst[0] = Math.sqrt(xx * xx + xy * xy);\n dst[1] = Math.sqrt(yx * yx + yy * yy);\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[8] = v[0];\n dst[9] = v[1];\n dst[10] = 1;\n return dst;\n}\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate$1(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n }\n dst[8] = m00 * v0 + m10 * v1 + m20;\n dst[9] = m01 * v0 + m11 * v1 + m21;\n dst[10] = m02 * v0 + m12 * v1 + m22;\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation$1(angleInRadians, dst) {\n dst = dst || newMat3();\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate$1(m, angleInRadians, dst) {\n dst = dst || newMat3();\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling$1(v, dst) {\n dst = dst || newMat3();\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$4(m, v, dst) {\n dst = dst || newMat3();\n const v0 = v[0];\n const v1 = v[1];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling$1(s, dst) {\n dst = dst || newMat3();\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n return dst;\n}\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale$1(m, s, dst) {\n dst = dst || newMat3();\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n }\n return dst;\n}\n\nvar mat3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n clone: clone$4,\n copy: copy$4,\n create: create$3,\n determinant: determinant$1,\n equals: equals$4,\n equalsApproximately: equalsApproximately$4,\n fromMat4: fromMat4,\n fromQuat: fromQuat$1,\n getAxis: getAxis$2,\n getScaling: getScaling$2,\n getTranslation: getTranslation$2,\n identity: identity$2,\n inverse: inverse$4,\n invert: invert$3,\n mul: mul$4,\n multiply: multiply$4,\n negate: negate$3,\n rotate: rotate$1,\n rotation: rotation$1,\n scale: scale$4,\n scaling: scaling$1,\n set: set$4,\n setAxis: setAxis$1,\n setDefaultType: setDefaultType$4,\n setTranslation: setTranslation$1,\n translate: translate$1,\n translation: translation$1,\n transpose: transpose$1,\n uniformScale: uniformScale$1,\n uniformScaling: uniformScaling$1\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues$2 = create$4;\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$3(x, y, z, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round$1(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp$1(v, min = 0, max = 1, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled$1(a, b, scale, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n return dst;\n}\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle$1(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = a[0];\n const by = a[1];\n const bz = a[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot$2(a, b) / mag;\n return Math.acos(cosine);\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract$2(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub$2 = subtract$2;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately$3(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals$3(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$2(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV$1(a, b, t, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale$3 = mulScalar$2;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar$2(v, k, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert$2 = inverse$3;\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a, b, dst) {\n dst = dst || new VecType$1(3);\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n dst[0] = a[1] * b[2] - a[2] * b[1];\n dst[1] = t1;\n dst[2] = t2;\n return dst;\n}\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot$2(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len$2 = length$2;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq$2(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq$2 = lengthSq$2;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist$1 = distance$1;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq$1(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq$1 = distanceSq$1;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize$2(v, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate$2(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy$3(v, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone$3 = copy$3;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply$3(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul$3 = multiply$3;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div$1 = divide$1;\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst) {\n dst = dst || new VecType$1(3);\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n dst[0] = Math.cos(angle) * zScale;\n dst[1] = Math.sin(angle) * zScale;\n dst[2] = z * scale;\n return dst;\n}\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero$1(dst) {\n dst = dst || new VecType$1(3);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n return dst;\n}\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4$1(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n dst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n dst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n dst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return dst;\n}\n/**\n * Transform vec4 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional Vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return dst;\n}\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v, m, dst) {\n dst = dst || new VecType$1(3);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n dst[0] = x * m[0] + y * m[4] + z * m[8];\n dst[1] = x * m[1] + y * m[5] + z * m[9];\n dst[2] = x * m[2] + y * m[6] + z * m[10];\n return dst;\n}\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v, q, dst) {\n dst = dst || new VecType$1(3);\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n dst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n dst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n dst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation$1(m, dst) {\n dst = dst || new VecType$1(3);\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis$1(m, axis, dst) {\n dst = dst || new VecType$1(3);\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling$1(m, dst) {\n dst = dst || new VecType$1(3);\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ$2(a, b, rad, dst) {\n dst = dst || new VecType$1(3);\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n dst[0] = r[0] + b[0];\n dst[1] = r[1] + b[1];\n dst[2] = r[2] + b[2];\n return dst;\n}\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength$1(a, len, dst) {\n dst = dst || new VecType$1(3);\n normalize$2(a, dst);\n return mulScalar$2(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate$1(a, maxLen, dst) {\n dst = dst || new VecType$1(3);\n if (length$2(a) > maxLen) {\n return setLength$1(a, maxLen, dst);\n }\n return copy$3(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint$1(a, b, dst) {\n dst = dst || new VecType$1(3);\n return lerp$2(a, b, 0.5, dst);\n}\n\nvar vec3Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$2,\n addScaled: addScaled$1,\n angle: angle$1,\n ceil: ceil$1,\n clamp: clamp$1,\n clone: clone$3,\n copy: copy$3,\n create: create$4,\n cross: cross,\n dist: dist$1,\n distSq: distSq$1,\n distance: distance$1,\n distanceSq: distanceSq$1,\n div: div$1,\n divScalar: divScalar$2,\n divide: divide$1,\n dot: dot$2,\n equals: equals$3,\n equalsApproximately: equalsApproximately$3,\n floor: floor$1,\n fromValues: fromValues$2,\n getAxis: getAxis$1,\n getScaling: getScaling$1,\n getTranslation: getTranslation$1,\n inverse: inverse$3,\n invert: invert$2,\n len: len$2,\n lenSq: lenSq$2,\n length: length$2,\n lengthSq: lengthSq$2,\n lerp: lerp$2,\n lerpV: lerpV$1,\n max: max$1,\n midpoint: midpoint$1,\n min: min$1,\n mul: mul$3,\n mulScalar: mulScalar$2,\n multiply: multiply$3,\n negate: negate$2,\n normalize: normalize$2,\n random: random,\n rotateX: rotateX$2,\n rotateY: rotateY$2,\n rotateZ: rotateZ$2,\n round: round$1,\n scale: scale$3,\n set: set$3,\n setDefaultType: setDefaultType$5,\n setLength: setLength$1,\n sub: sub$2,\n subtract: subtract$2,\n transformMat3: transformMat3,\n transformMat4: transformMat4$1,\n transformMat4Upper3x3: transformMat4Upper3x3,\n transformQuat: transformQuat,\n truncate: truncate$1,\n zero: zero$1\n});\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\nlet MatType = Float32Array;\n/**\n * Sets the type this library creates for a Mat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Mat4\n */\nfunction setDefaultType$3(ctor) {\n const oldType = MatType;\n MatType = ctor;\n return oldType;\n}\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * Note: a consequence of the implementation is if your Mat4Type = `Array`\n * instead of `Float32Array` or `Float64Array` then any values you\n * don't pass in will be undefined. Usually this is not an issue since\n * (a) using `Array` is rare and (b) using `mat4.create` is usually used\n * to create a Mat4 to be filled out as in\n *\n * ```\n * const m = mat4.create();\n * mat4.perspective(fov, aspect, near, far, m);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const dst = new MatType(16);\n if (v0 !== undefined) {\n dst[0] = v0;\n if (v1 !== undefined) {\n dst[1] = v1;\n if (v2 !== undefined) {\n dst[2] = v2;\n if (v3 !== undefined) {\n dst[3] = v3;\n if (v4 !== undefined) {\n dst[4] = v4;\n if (v5 !== undefined) {\n dst[5] = v5;\n if (v6 !== undefined) {\n dst[6] = v6;\n if (v7 !== undefined) {\n dst[7] = v7;\n if (v8 !== undefined) {\n dst[8] = v8;\n if (v9 !== undefined) {\n dst[9] = v9;\n if (v10 !== undefined) {\n dst[10] = v10;\n if (v11 !== undefined) {\n dst[11] = v11;\n if (v12 !== undefined) {\n dst[12] = v12;\n if (v13 !== undefined) {\n dst[13] = v13;\n if (v14 !== undefined) {\n dst[14] = v14;\n if (v15 !== undefined) {\n dst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return dst;\n}\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set$2(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n dst = dst || new MatType(16);\n dst[0] = v0;\n dst[1] = v1;\n dst[2] = v2;\n dst[3] = v3;\n dst[4] = v4;\n dst[5] = v5;\n dst[6] = v6;\n dst[7] = v7;\n dst[8] = v8;\n dst[9] = v9;\n dst[10] = v10;\n dst[11] = v11;\n dst[12] = v12;\n dst[13] = v13;\n dst[14] = v14;\n dst[15] = v15;\n return dst;\n}\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3, dst) {\n dst = dst || new MatType(16);\n dst[0] = m3[0];\n dst[1] = m3[1];\n dst[2] = m3[2];\n dst[3] = 0;\n dst[4] = m3[4];\n dst[5] = m3[5];\n dst[6] = m3[6];\n dst[7] = 0;\n dst[8] = m3[8];\n dst[9] = m3[9];\n dst[10] = m3[10];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q, dst) {\n dst = dst || new MatType(16);\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n dst[0] = 1 - yy - zz;\n dst[1] = yx + wz;\n dst[2] = zx - wy;\n dst[3] = 0;\n dst[4] = yx - wz;\n dst[5] = 1 - xx - zz;\n dst[6] = zy + wx;\n dst[7] = 0;\n dst[8] = zx + wy;\n dst[9] = zy - wx;\n dst[10] = 1 - xx - yy;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate$1(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = -m[0];\n dst[1] = -m[1];\n dst[2] = -m[2];\n dst[3] = -m[3];\n dst[4] = -m[4];\n dst[5] = -m[5];\n dst[6] = -m[6];\n dst[7] = -m[7];\n dst[8] = -m[8];\n dst[9] = -m[9];\n dst[10] = -m[10];\n dst[11] = -m[11];\n dst[12] = -m[12];\n dst[13] = -m[13];\n dst[14] = -m[14];\n dst[15] = -m[15];\n return dst;\n}\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy$2(m, dst) {\n dst = dst || new MatType(16);\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n return dst;\n}\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone$2 = copy$2;\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately$2(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n}\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals$2(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity$1(dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m, dst) {\n dst = dst || new MatType(16);\n if (dst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return dst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n dst[0] = m00;\n dst[1] = m10;\n dst[2] = m20;\n dst[3] = m30;\n dst[4] = m01;\n dst[5] = m11;\n dst[6] = m21;\n dst[7] = m31;\n dst[8] = m02;\n dst[9] = m12;\n dst[10] = m22;\n dst[11] = m32;\n dst[12] = m03;\n dst[13] = m13;\n dst[14] = m23;\n dst[15] = m33;\n return dst;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse$2(m, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n dst[0] = d * t0;\n dst[1] = d * t1;\n dst[2] = d * t2;\n dst[3] = d * t3;\n dst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n dst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n dst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n dst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n dst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n dst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n dst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n dst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n dst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n dst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n dst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n dst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return dst;\n}\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert$1 = inverse$2;\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply$2(a, b, dst) {\n dst = dst || new MatType(16);\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n dst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n dst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n dst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n dst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n dst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n dst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n dst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n dst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n dst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n dst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n dst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n dst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n dst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n dst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n dst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n dst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return dst;\n}\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul$2 = multiply$2;\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a, v, dst) {\n dst = dst || identity$1();\n if (a !== dst) {\n dst[0] = a[0];\n dst[1] = a[1];\n dst[2] = a[2];\n dst[3] = a[3];\n dst[4] = a[4];\n dst[5] = a[5];\n dst[6] = a[6];\n dst[7] = a[7];\n dst[8] = a[8];\n dst[9] = a[9];\n dst[10] = a[10];\n dst[11] = a[11];\n }\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m, dst) {\n dst = dst || create$4();\n dst[0] = m[12];\n dst[1] = m[13];\n dst[2] = m[14];\n return dst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m, axis, dst) {\n dst = dst || create$4();\n const off = axis * 4;\n dst[0] = m[off + 0];\n dst[1] = m[off + 1];\n dst[2] = m[off + 2];\n return dst;\n}\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(a, v, axis, dst) {\n if (dst !== a) {\n dst = copy$2(a, dst);\n }\n const off = axis * 4;\n dst[off + 0] = v[0];\n dst[off + 1] = v[1];\n dst[off + 2] = v[2];\n return dst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m, dst) {\n dst = dst || create$4();\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n dst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n dst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n dst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n dst = dst || new MatType(16);\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n dst[0] = f / aspect;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = f;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[15] = 0;\n if (zFar === Infinity) {\n dst[10] = -1;\n dst[14] = -zNear;\n }\n else {\n const rangeInv = 1 / (zNear - zFar);\n dst[10] = zFar * rangeInv;\n dst[14] = zFar * zNear * rangeInv;\n }\n return dst;\n}\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n dst[0] = 2 / (right - left);\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 / (top - bottom);\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1 / (near - far);\n dst[11] = 0;\n dst[12] = (right + left) / (left - right);\n dst[13] = (top + bottom) / (bottom - top);\n dst[14] = near / (near - far);\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left, right, bottom, top, near, far, dst) {\n dst = dst || new MatType(16);\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n dst[0] = 2 * near / dx;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 2 * near / dy;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = (left + right) / dx;\n dst[9] = (top + bottom) / dy;\n dst[10] = far / dz;\n dst[11] = -1;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = near * far / dz;\n dst[15] = 0;\n return dst;\n}\nlet xAxis;\nlet yAxis;\nlet zAxis;\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(target, position, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = position[0];\n dst[13] = position[1];\n dst[14] = position[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = xAxis[1];\n dst[2] = xAxis[2];\n dst[3] = 0;\n dst[4] = yAxis[0];\n dst[5] = yAxis[1];\n dst[6] = yAxis[2];\n dst[7] = 0;\n dst[8] = zAxis[0];\n dst[9] = zAxis[1];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = eye[0];\n dst[13] = eye[1];\n dst[14] = eye[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye, target, up, dst) {\n dst = dst || new MatType(16);\n xAxis = xAxis || create$4();\n yAxis = yAxis || create$4();\n zAxis = zAxis || create$4();\n normalize$2(subtract$2(eye, target, zAxis), zAxis);\n normalize$2(cross(up, zAxis, xAxis), xAxis);\n normalize$2(cross(zAxis, xAxis, yAxis), yAxis);\n dst[0] = xAxis[0];\n dst[1] = yAxis[0];\n dst[2] = zAxis[0];\n dst[3] = 0;\n dst[4] = xAxis[1];\n dst[5] = yAxis[1];\n dst[6] = zAxis[1];\n dst[7] = 0;\n dst[8] = xAxis[2];\n dst[9] = yAxis[2];\n dst[10] = zAxis[2];\n dst[11] = 0;\n dst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n dst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n dst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = v[0];\n dst[13] = v[1];\n dst[14] = v[2];\n dst[15] = 1;\n return dst;\n}\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== dst) {\n dst[0] = m00;\n dst[1] = m01;\n dst[2] = m02;\n dst[3] = m03;\n dst[4] = m10;\n dst[5] = m11;\n dst[6] = m12;\n dst[7] = m13;\n dst[8] = m20;\n dst[9] = m21;\n dst[10] = m22;\n dst[11] = m23;\n }\n dst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n dst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n dst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n dst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = c;\n dst[6] = s;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = -s;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[4] = c * m10 + s * m20;\n dst[5] = c * m11 + s * m21;\n dst[6] = c * m12 + s * m22;\n dst[7] = c * m13 + s * m23;\n dst[8] = c * m20 - s * m10;\n dst[9] = c * m21 - s * m11;\n dst[10] = c * m22 - s * m12;\n dst[11] = c * m23 - s * m13;\n if (m !== dst) {\n dst[0] = m[0];\n dst[1] = m[1];\n dst[2] = m[2];\n dst[3] = m[3];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = 0;\n dst[2] = -s;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = 1;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = s;\n dst[9] = 0;\n dst[10] = c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 - s * m20;\n dst[1] = c * m01 - s * m21;\n dst[2] = c * m02 - s * m22;\n dst[3] = c * m03 - s * m23;\n dst[8] = c * m20 + s * m00;\n dst[9] = c * m21 + s * m01;\n dst[10] = c * m22 + s * m02;\n dst[11] = c * m23 + s * m03;\n if (m !== dst) {\n dst[4] = m[4];\n dst[5] = m[5];\n dst[6] = m[6];\n dst[7] = m[7];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians, dst) {\n dst = dst || new MatType(16);\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c;\n dst[1] = s;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = -s;\n dst[5] = c;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = 1;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ$1(m, angleInRadians, dst) {\n dst = dst || new MatType(16);\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n dst[0] = c * m00 + s * m10;\n dst[1] = c * m01 + s * m11;\n dst[2] = c * m02 + s * m12;\n dst[3] = c * m03 + s * m13;\n dst[4] = c * m10 - s * m00;\n dst[5] = c * m11 - s * m01;\n dst[6] = c * m12 - s * m02;\n dst[7] = c * m13 - s * m03;\n if (m !== dst) {\n dst[8] = m[8];\n dst[9] = m[9];\n dst[10] = m[10];\n dst[11] = m[11];\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n dst[0] = xx + (1 - xx) * c;\n dst[1] = x * y * oneMinusCosine + z * s;\n dst[2] = x * z * oneMinusCosine - y * s;\n dst[3] = 0;\n dst[4] = x * y * oneMinusCosine - z * s;\n dst[5] = yy + (1 - yy) * c;\n dst[6] = y * z * oneMinusCosine + x * s;\n dst[7] = 0;\n dst[8] = x * z * oneMinusCosine + y * s;\n dst[9] = y * z * oneMinusCosine - x * s;\n dst[10] = zz + (1 - zz) * c;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m, axis, angleInRadians, dst) {\n dst = dst || new MatType(16);\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n dst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n dst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n dst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n dst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n dst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n dst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n dst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n dst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n dst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n dst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n dst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n dst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v, dst) {\n dst = dst || new MatType(16);\n dst[0] = v[0];\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = v[1];\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = v[2];\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale$2(m, v, dst) {\n dst = dst || new MatType(16);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n dst[0] = v0 * m[0 * 4 + 0];\n dst[1] = v0 * m[0 * 4 + 1];\n dst[2] = v0 * m[0 * 4 + 2];\n dst[3] = v0 * m[0 * 4 + 3];\n dst[4] = v1 * m[1 * 4 + 0];\n dst[5] = v1 * m[1 * 4 + 1];\n dst[6] = v1 * m[1 * 4 + 2];\n dst[7] = v1 * m[1 * 4 + 3];\n dst[8] = v2 * m[2 * 4 + 0];\n dst[9] = v2 * m[2 * 4 + 1];\n dst[10] = v2 * m[2 * 4 + 2];\n dst[11] = v2 * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n dst[4] = 0;\n dst[5] = s;\n dst[6] = 0;\n dst[7] = 0;\n dst[8] = 0;\n dst[9] = 0;\n dst[10] = s;\n dst[11] = 0;\n dst[12] = 0;\n dst[13] = 0;\n dst[14] = 0;\n dst[15] = 1;\n return dst;\n}\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m, s, dst) {\n dst = dst || new MatType(16);\n dst[0] = s * m[0 * 4 + 0];\n dst[1] = s * m[0 * 4 + 1];\n dst[2] = s * m[0 * 4 + 2];\n dst[3] = s * m[0 * 4 + 3];\n dst[4] = s * m[1 * 4 + 0];\n dst[5] = s * m[1 * 4 + 1];\n dst[6] = s * m[1 * 4 + 2];\n dst[7] = s * m[1 * 4 + 3];\n dst[8] = s * m[2 * 4 + 0];\n dst[9] = s * m[2 * 4 + 1];\n dst[10] = s * m[2 * 4 + 2];\n dst[11] = s * m[2 * 4 + 3];\n if (m !== dst) {\n dst[12] = m[12];\n dst[13] = m[13];\n dst[14] = m[14];\n dst[15] = m[15];\n }\n return dst;\n}\n\nvar mat4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n aim: aim,\n axisRotate: axisRotate,\n axisRotation: axisRotation,\n cameraAim: cameraAim,\n clone: clone$2,\n copy: copy$2,\n create: create$2,\n determinant: determinant,\n equals: equals$2,\n equalsApproximately: equalsApproximately$2,\n fromMat3: fromMat3,\n fromQuat: fromQuat,\n frustum: frustum,\n getAxis: getAxis,\n getScaling: getScaling,\n getTranslation: getTranslation,\n identity: identity$1,\n inverse: inverse$2,\n invert: invert$1,\n lookAt: lookAt,\n mul: mul$2,\n multiply: multiply$2,\n negate: negate$1,\n ortho: ortho,\n perspective: perspective,\n rotate: rotate,\n rotateX: rotateX$1,\n rotateY: rotateY$1,\n rotateZ: rotateZ$1,\n rotation: rotation,\n rotationX: rotationX,\n rotationY: rotationY,\n rotationZ: rotationZ,\n scale: scale$2,\n scaling: scaling,\n set: set$2,\n setAxis: setAxis,\n setDefaultType: setDefaultType$3,\n setTranslation: setTranslation,\n translate: translate,\n translation: translation,\n transpose: transpose,\n uniformScale: uniformScale,\n uniformScaling: uniformScaling\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet QuatType = Float32Array;\n/**\n * Sets the type this library creates for a Quat4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Quat4\n */\nfunction setDefaultType$2(ctor) {\n const oldType = QuatType;\n QuatType = ctor;\n return oldType;\n}\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create$1(x, y, z, w) {\n const dst = new QuatType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues$1 = create$1;\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set$1(x, y, z, w, dst) {\n dst = dst || new QuatType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n dst[0] = s * axis[0];\n dst[1] = s * axis[1];\n dst[2] = s * axis[2];\n dst[3] = Math.cos(halfAngle);\n return dst;\n}\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q, dst) {\n dst = dst || create$4(4);\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n dst[0] = q[0] / s;\n dst[1] = q[1] / s;\n dst[2] = q[2] / s;\n }\n else {\n dst[0] = 1;\n dst[1] = 0;\n dst[2] = 0;\n }\n return { angle, axis: dst };\n}\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a, b) {\n const d = dot$1(a, b);\n return Math.acos(2 * d * d - 1);\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply$1(a, b, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n dst[0] = ax * bw + aw * bx + ay * bz - az * by;\n dst[1] = ay * bw + aw * by + az * bx - ax * bz;\n dst[2] = az * bw + aw * bz + ax * by - ay * bx;\n dst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return dst;\n}\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul$1 = multiply$1;\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qw * bx;\n dst[1] = qy * bw + qz * bx;\n dst[2] = qz * bw - qy * bx;\n dst[3] = qw * bw - qx * bx;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw - qz * by;\n dst[1] = qy * bw + qw * by;\n dst[2] = qz * bw + qx * by;\n dst[3] = qw * bw - qy * by;\n return dst;\n}\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q, angleInRadians, dst) {\n dst = dst || new QuatType(4);\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n dst[0] = qx * bw + qy * bz;\n dst[1] = qy * bw - qx * bz;\n dst[2] = qz * bw + qw * bz;\n dst[3] = qw * bw - qz * bz;\n return dst;\n}\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a, b, t, dst) {\n dst = dst || new QuatType(4);\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n dst[0] = scale0 * ax + scale1 * bx;\n dst[1] = scale0 * ay + scale1 * by;\n dst[2] = scale0 * az + scale1 * bz;\n dst[3] = scale0 * aw + scale1 * bw;\n return dst;\n}\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse$1(q, dst) {\n dst = dst || new QuatType(4);\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n dst[0] = -a0 * invDot;\n dst[1] = -a1 * invDot;\n dst[2] = -a2 * invDot;\n dst[3] = a3 * invDot;\n return dst;\n}\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = -q[0];\n dst[1] = -q[1];\n dst[2] = -q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m, dst) {\n dst = dst || new QuatType(4);\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n dst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n dst[0] = (m[6] - m[9]) * invRoot;\n dst[1] = (m[8] - m[2]) * invRoot;\n dst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n dst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n dst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n dst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n dst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return dst;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n dst = dst || new QuatType(4);\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz - sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n dst[0] = sx * cy * cz + cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz + sx * sy * cz;\n dst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n dst[0] = sx * cy * cz - cx * sy * sz;\n dst[1] = cx * sy * cz + sx * cy * sz;\n dst[2] = cx * cy * sz - sx * sy * cz;\n dst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return dst;\n}\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy$1(q, dst) {\n dst = dst || new QuatType(4);\n dst[0] = q[0];\n dst[1] = q[1];\n dst[2] = q[2];\n dst[3] = q[3];\n return dst;\n}\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone$1 = copy$1;\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract$1(a, b, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub$1 = subtract$1;\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale$1 = mulScalar$1;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar$1(v, k, dst) {\n dst = dst || new QuatType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot$1(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp$1(a, b, t, dst) {\n dst = dst || new QuatType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len$1 = length$1;\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq$1(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq$1 = lengthSq$1;\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize$1(v, dst) {\n dst = dst || new QuatType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately$1(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals$1(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst) {\n dst = dst || new QuatType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n}\nlet tempVec3;\nlet xUnitVec3;\nlet yUnitVec3;\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit, bUnit, dst) {\n dst = dst || new QuatType(4);\n tempVec3 = tempVec3 || create$4();\n xUnitVec3 = xUnitVec3 || create$4(1, 0, 0);\n yUnitVec3 = yUnitVec3 || create$4(0, 1, 0);\n const dot = dot$2(aUnit, bUnit);\n if (dot < -0.999999) {\n cross(xUnitVec3, aUnit, tempVec3);\n if (len$2(tempVec3) < 0.000001) {\n cross(yUnitVec3, aUnit, tempVec3);\n }\n normalize$2(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, dst);\n return dst;\n }\n else if (dot > 0.999999) {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 1;\n return dst;\n }\n else {\n cross(aUnit, bUnit, tempVec3);\n dst[0] = tempVec3[0];\n dst[1] = tempVec3[1];\n dst[2] = tempVec3[2];\n dst[3] = 1 + dot;\n return normalize$1(dst, dst);\n }\n}\nlet tempQuat1;\nlet tempQuat2;\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(a, b, c, d, t, dst) {\n dst = dst || new QuatType(4);\n tempQuat1 = tempQuat1 || new QuatType(4);\n tempQuat2 = tempQuat2 || new QuatType(4);\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), dst);\n return dst;\n}\n\nvar quatImpl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add$1,\n angle: angle,\n clone: clone$1,\n conjugate: conjugate,\n copy: copy$1,\n create: create$1,\n divScalar: divScalar$1,\n dot: dot$1,\n equals: equals$1,\n equalsApproximately: equalsApproximately$1,\n fromAxisAngle: fromAxisAngle,\n fromEuler: fromEuler,\n fromMat: fromMat,\n fromValues: fromValues$1,\n identity: identity,\n inverse: inverse$1,\n len: len$1,\n lenSq: lenSq$1,\n length: length$1,\n lengthSq: lengthSq$1,\n lerp: lerp$1,\n mul: mul$1,\n mulScalar: mulScalar$1,\n multiply: multiply$1,\n normalize: normalize$1,\n rotateX: rotateX,\n rotateY: rotateY,\n rotateZ: rotateZ,\n rotationTo: rotationTo,\n scale: scale$1,\n set: set$1,\n setDefaultType: setDefaultType$2,\n slerp: slerp,\n sqlerp: sqlerp,\n sub: sub$1,\n subtract: subtract$1,\n toAxisAngle: toAxisAngle\n});\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `dst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nlet VecType = Float32Array;\n/**\n * Sets the type this library creates for a Vec4\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n * @returns previous constructor for Vec4\n */\nfunction setDefaultType$1(ctor) {\n const oldType = VecType;\n VecType = ctor;\n return oldType;\n}\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x, y, z, w) {\n const dst = new VecType(4);\n if (x !== undefined) {\n dst[0] = x;\n if (y !== undefined) {\n dst[1] = y;\n if (z !== undefined) {\n dst[2] = z;\n if (w !== undefined) {\n dst[3] = w;\n }\n }\n }\n }\n return dst;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x, y, z, w, dst) {\n dst = dst || new VecType(4);\n dst[0] = x;\n dst[1] = y;\n dst[2] = z;\n dst[3] = w;\n return dst;\n}\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.ceil(v[0]);\n dst[1] = Math.ceil(v[1]);\n dst[2] = Math.ceil(v[2]);\n dst[3] = Math.ceil(v[3]);\n return dst;\n}\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.floor(v[0]);\n dst[1] = Math.floor(v[1]);\n dst[2] = Math.floor(v[2]);\n dst[3] = Math.floor(v[3]);\n return dst;\n}\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.round(v[0]);\n dst[1] = Math.round(v[1]);\n dst[2] = Math.round(v[2]);\n dst[3] = Math.round(v[3]);\n return dst;\n}\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v, min = 0, max = 1, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(max, Math.max(min, v[0]));\n dst[1] = Math.min(max, Math.max(min, v[1]));\n dst[2] = Math.min(max, Math.max(min, v[2]));\n dst[3] = Math.min(max, Math.max(min, v[3]));\n return dst;\n}\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0];\n dst[1] = a[1] + b[1];\n dst[2] = a[2] + b[2];\n dst[3] = a[3] + b[3];\n return dst;\n}\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a, b, scale, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + b[0] * scale;\n dst[1] = a[1] + b[1] * scale;\n dst[2] = a[2] + b[2] * scale;\n dst[3] = a[3] + b[3] * scale;\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] - b[0];\n dst[1] = a[1] - b[1];\n dst[2] = a[2] - b[2];\n dst[3] = a[3] - b[3];\n return dst;\n}\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n}\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t * (b[0] - a[0]);\n dst[1] = a[1] + t * (b[1] - a[1]);\n dst[2] = a[2] + t * (b[2] - a[2]);\n dst[3] = a[3] + t * (b[3] - a[3]);\n return dst;\n}\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a, b, t, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] + t[0] * (b[0] - a[0]);\n dst[1] = a[1] + t[1] * (b[1] - a[1]);\n dst[2] = a[2] + t[2] * (b[2] - a[2]);\n dst[3] = a[3] + t[3] * (b[3] - a[3]);\n return dst;\n}\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.max(a[0], b[0]);\n dst[1] = Math.max(a[1], b[1]);\n dst[2] = Math.max(a[2], b[2]);\n dst[3] = Math.max(a[3], b[3]);\n return dst;\n}\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = Math.min(a[0], b[0]);\n dst[1] = Math.min(a[1], b[1]);\n dst[2] = Math.min(a[2], b[2]);\n dst[3] = Math.min(a[3], b[3]);\n return dst;\n}\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] * k;\n dst[1] = v[1] * k;\n dst[2] = v[2] * k;\n dst[3] = v[3] * k;\n return dst;\n}\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v, k, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0] / k;\n dst[1] = v[1] / k;\n dst[2] = v[2] / k;\n dst[3] = v[3] / k;\n return dst;\n}\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = 1 / v[0];\n dst[1] = 1 / v[1];\n dst[2] = 1 / v[2];\n dst[3] = 1 / v[3];\n return dst;\n}\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v, dst) {\n dst = dst || new VecType(4);\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n dst[0] = v0 / len;\n dst[1] = v1 / len;\n dst[2] = v2 / len;\n dst[3] = v3 / len;\n }\n else {\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n }\n return dst;\n}\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = -v[0];\n dst[1] = -v[1];\n dst[2] = -v[2];\n dst[3] = -v[3];\n return dst;\n}\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v, dst) {\n dst = dst || new VecType(4);\n dst[0] = v[0];\n dst[1] = v[1];\n dst[2] = v[2];\n dst[3] = v[3];\n return dst;\n}\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] * b[0];\n dst[1] = a[1] * b[1];\n dst[2] = a[2] * b[2];\n dst[3] = a[3] * b[3];\n return dst;\n}\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a, b, dst) {\n dst = dst || new VecType(4);\n dst[0] = a[0] / b[0];\n dst[1] = a[1] / b[1];\n dst[2] = a[2] / b[2];\n dst[3] = a[3] / b[3];\n return dst;\n}\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst) {\n dst = dst || new VecType(4);\n dst[0] = 0;\n dst[1] = 0;\n dst[2] = 0;\n dst[3] = 0;\n return dst;\n}\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v, m, dst) {\n dst = dst || new VecType(4);\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n dst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n dst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n dst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n dst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return dst;\n}\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a, len, dst) {\n dst = dst || new VecType(4);\n normalize(a, dst);\n return mulScalar(dst, len, dst);\n}\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a, maxLen, dst) {\n dst = dst || new VecType(4);\n if (length(a) > maxLen) {\n return setLength(a, maxLen, dst);\n }\n return copy(a, dst);\n}\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a, b, dst) {\n dst = dst || new VecType(4);\n return lerp(a, b, 0.5, dst);\n}\n\nvar vec4Impl = /*#__PURE__*/Object.freeze({\n __proto__: null,\n add: add,\n addScaled: addScaled,\n ceil: ceil,\n clamp: clamp,\n clone: clone,\n copy: copy,\n create: create,\n dist: dist,\n distSq: distSq,\n distance: distance,\n distanceSq: distanceSq,\n div: div,\n divScalar: divScalar,\n divide: divide,\n dot: dot,\n equals: equals,\n equalsApproximately: equalsApproximately,\n floor: floor,\n fromValues: fromValues,\n inverse: inverse,\n invert: invert,\n len: len,\n lenSq: lenSq,\n length: length,\n lengthSq: lengthSq,\n lerp: lerp,\n lerpV: lerpV,\n max: max,\n midpoint: midpoint,\n min: min,\n mul: mul,\n mulScalar: mulScalar,\n multiply: multiply,\n negate: negate,\n normalize: normalize,\n round: round,\n scale: scale,\n set: set,\n setDefaultType: setDefaultType$1,\n setLength: setLength,\n sub: sub,\n subtract: subtract,\n transformMat4: transformMat4,\n truncate: truncate,\n zero: zero\n});\n\n/**\n * Sets the type this library creates for all types\n *\n * example:\n *\n * ```\n * setDefaultType(Float64Array);\n * ```\n *\n * @param ctor - the constructor for the type. Either `Float32Array`, `Float64Array`, or `Array`\n */\nfunction setDefaultType(ctor) {\n setDefaultType$4(ctor);\n setDefaultType$3(ctor);\n setDefaultType$2(ctor);\n setDefaultType$6(ctor);\n setDefaultType$5(ctor);\n setDefaultType$1(ctor);\n}\n\nexport { mat3Impl as mat3, mat4Impl as mat4, quatImpl as quat, setDefaultType, utils, vec2Impl as vec2, vec3Impl as vec3, vec4Impl as vec4 };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\n// The worker process can instantiate a WebGPU device immediately, but it still needs an\n// OffscreenCanvas to be able to display anything. Here we listen for an 'init' message from the\n// main thread that will contain an OffscreenCanvas transferred from the page, and use that as the\n// signal to begin WebGPU initialization.\nself.addEventListener('message', (ev) => {\n switch (ev.data.type) {\n case 'init': {\n try {\n init(ev.data.offscreenCanvas);\n } catch (err) {\n console.error(\n `Error while initializing WebGPU in worker process: ${err.message}`\n );\n }\n break;\n }\n }\n});\n\n// Once we receive the OffscreenCanvas this init() function is called, which functions similarly\n// to the init() method for all the other samples. The remainder of this file is largely identical\n// to the rotatingCube sample.\nasync function init(canvas) {\n const adapter = await navigator.gpu.requestAdapter();\n const device = await adapter.requestDevice();\n const context = canvas.getContext('webgpu');\n\n const presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\n context.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n });\n\n // Create a vertex buffer from the cube data.\n const verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n });\n new Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\n verticesBuffer.unmap();\n\n const pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n });\n\n const depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n });\n\n const uniformBufferSize = 4 * 16; // 4x4 matrix\n const uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n\n const uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n });\n\n const renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n };\n\n const aspect = canvas.width / canvas.height;\n const projectionMatrix = mat4.perspective(\n (2 * Math.PI) / 5,\n aspect,\n 1,\n 100.0\n );\n const modelViewProjectionMatrix = mat4.create();\n\n function getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n viewMatrix\n );\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix as Float32Array;\n }\n\n function frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.draw(cubeVertexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n requestAnimationFrame(frame);\n }\n\n // Note: It is important to return control to the browser regularly in order for the worker to\n // process events. You shouldn't simply loop infinitely with while(true) or similar! Using a\n // traditional requestAnimationFrame() loop in the worker is one way to ensure that events are\n // handled correctly by the worker.\n requestAnimationFrame(frame);\n}\n\nexport 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\ No newline at end of file +{"version":3,"file":"worker.js","sources":["../../../node_modules/wgpu-matrix/dist/3.x/wgpu-matrix.module.js","../../../../../meshes/cube.ts","../../../../../sample/worker/worker.ts"],"sourcesContent":["/* wgpu-matrix@3.0.0, license MIT */\nfunction wrapConstructor(OriginalConstructor, modifier) {\n return class extends OriginalConstructor {\n constructor(...args) {\n super(...args);\n modifier(this);\n }\n }; // Type assertion is necessary here\n}\nconst ZeroArray = wrapConstructor((Array), a => a.fill(0));\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nlet EPSILON = 0.000001;\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nfunction setEpsilon(v) {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nfunction degToRad(degrees) {\n return degrees * Math.PI / 180;\n}\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nfunction radToDeg(radians) {\n return radians * 180 / Math.PI;\n}\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nfunction lerp(a, b, t) {\n return a + (b - a) * t;\n}\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nfunction inverseLerp(a, b, v) {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nfunction euclideanModulo(n, m) {\n return ((n % m) + m) % m;\n}\n\nvar utils = {\n __proto__: null,\n get EPSILON () { return EPSILON; },\n degToRad: degToRad,\n euclideanModulo: euclideanModulo,\n inverseLerp: inverseLerp,\n lerp: lerp,\n radToDeg: radToDeg,\n setEpsilon: setEpsilon\n};\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl$5(Ctor) {\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n function create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n }\n /**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = x;\n newDst[1] = y;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1];\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = v[0];\n newDst[1] = v[1];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(2));\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(2));\n newDst[0] = 0;\n newDst[1] = 0;\n return newDst;\n }\n /**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n return newDst;\n }\n /**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(2));\n const x = v[0];\n const y = v[1];\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n return newDst;\n }\n /**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\n function rotate(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(2));\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n return newDst;\n }\n /**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(2));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(2));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(2));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$5 = new Map();\nfunction getAPI$5(Ctor) {\n let api = cache$5.get(Ctor);\n if (!api) {\n api = getAPIImpl$5(Ctor);\n cache$5.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl$4(Ctor) {\n const vec2 = getAPI$5(Ctor);\n /**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = 0;\n newDst[4] = v3;\n newDst[5] = v4;\n newDst[6] = v5;\n newDst[7] = 0;\n newDst[8] = v6;\n newDst[9] = v7;\n newDst[10] = v8;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\n function fromMat4(m4, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m4[0];\n newDst[1] = m4[1];\n newDst[2] = m4[2];\n newDst[3] = 0;\n newDst[4] = m4[4];\n newDst[5] = m4[5];\n newDst[6] = m4[6];\n newDst[7] = 0;\n newDst[8] = m4[8];\n newDst[9] = m4[9];\n newDst[10] = m4[10];\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(12));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10];\n }\n /**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n if (newDst === m) {\n let t;\n // 0 1 2\n // 4 5 6\n // 8 9 10\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n return newDst;\n }\n /**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n newDst[0] = b01 * invDet;\n newDst[1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[2] = (m12 * m01 - m02 * m11) * invDet;\n newDst[4] = b11 * invDet;\n newDst[5] = (m22 * m00 - m02 * m20) * invDet;\n newDst[6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[8] = b21 * invDet;\n newDst[9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = (m11 * m00 - m01 * m10) * invDet;\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n }\n /**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(12));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n return newDst;\n }\n /**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n }\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec2.create());\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n }\n /**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec2.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n }\n /**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m ? m : copy(m, dst));\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec2.create());\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[8] = v[0];\n newDst[9] = v[1];\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n }\n newDst[8] = m00 * v0 + m10 * v1 + m20;\n newDst[9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotation(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotate(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(12));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(12));\n const v0 = v[0];\n const v1 = v[1];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n /**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n return newDst;\n }\n /**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(12));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n }\n return newDst;\n }\n return {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$4 = new Map();\nfunction getAPI$4(Ctor) {\n let api = cache$4.get(Ctor);\n if (!api) {\n api = getAPIImpl$4(Ctor);\n cache$4.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl$3(Ctor) {\n /**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n function create(x, y, z) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n return newDst;\n }\n /**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\n function angle(a, b) {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\n function cross(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n return newDst;\n }\n /**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\n function random(scale = 1, dst) {\n const newDst = (dst ?? new Ctor(3));\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n return newDst;\n }\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n return newDst;\n }\n /**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return newDst;\n }\n /**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\n function transformMat4Upper3x3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n return newDst;\n }\n /**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat3(v, m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n return newDst;\n }\n /**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\n function transformQuat(v, q, dst) {\n const newDst = (dst ?? new Ctor(3));\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n return newDst;\n }\n /**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\n function getTranslation(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? new Ctor(3));\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\n function getScaling(m, dst) {\n const newDst = (dst ?? new Ctor(3));\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateX(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\n function rotateY(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\n function rotateZ(a, b, rad, dst) {\n const newDst = (dst ?? new Ctor(3));\n const p = [];\n const r = [];\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n return newDst;\n }\n /**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(3));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(3));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(3));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache$3 = new Map();\nfunction getAPI$3(Ctor) {\n let api = cache$3.get(Ctor);\n if (!api) {\n api = getAPIImpl$3(Ctor);\n cache$3.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl$2(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n /**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\n function create(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\n function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, v9, v10, v11, v12, v13, v14, v15, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v0;\n newDst[1] = v1;\n newDst[2] = v2;\n newDst[3] = v3;\n newDst[4] = v4;\n newDst[5] = v5;\n newDst[6] = v6;\n newDst[7] = v7;\n newDst[8] = v8;\n newDst[9] = v9;\n newDst[10] = v10;\n newDst[11] = v11;\n newDst[12] = v12;\n newDst[13] = v13;\n newDst[14] = v14;\n newDst[15] = v15;\n return newDst;\n }\n /**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\n function fromMat3(m3, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m3[0];\n newDst[1] = m3[1];\n newDst[2] = m3[2];\n newDst[3] = 0;\n newDst[4] = m3[4];\n newDst[5] = m3[5];\n newDst[6] = m3[6];\n newDst[7] = 0;\n newDst[8] = m3[8];\n newDst[9] = m3[9];\n newDst[10] = m3[10];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\n function fromQuat(q, dst) {\n const newDst = (dst ?? new Ctor(16));\n const x = q[0];\n const y = q[1];\n const z = q[2];\n const w = q[3];\n const x2 = x + x;\n const y2 = y + y;\n const z2 = z + z;\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n newDst[0] = 1 - yy - zz;\n newDst[1] = yx + wz;\n newDst[2] = zx - wy;\n newDst[3] = 0;\n newDst[4] = yx - wz;\n newDst[5] = 1 - xx - zz;\n newDst[6] = zy + wx;\n newDst[7] = 0;\n newDst[8] = zx + wy;\n newDst[9] = zy - wx;\n newDst[10] = 1 - xx - yy;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\n function negate(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = -m[0];\n newDst[1] = -m[1];\n newDst[2] = -m[2];\n newDst[3] = -m[3];\n newDst[4] = -m[4];\n newDst[5] = -m[5];\n newDst[6] = -m[6];\n newDst[7] = -m[7];\n newDst[8] = -m[8];\n newDst[9] = -m[9];\n newDst[10] = -m[10];\n newDst[11] = -m[11];\n newDst[12] = -m[12];\n newDst[13] = -m[13];\n newDst[14] = -m[14];\n newDst[15] = -m[15];\n return newDst;\n }\n /**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n function copy(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n return newDst;\n }\n /**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\n const clone = copy;\n /**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON &&\n Math.abs(a[4] - b[4]) < EPSILON &&\n Math.abs(a[5] - b[5]) < EPSILON &&\n Math.abs(a[6] - b[6]) < EPSILON &&\n Math.abs(a[7] - b[7]) < EPSILON &&\n Math.abs(a[8] - b[8]) < EPSILON &&\n Math.abs(a[9] - b[9]) < EPSILON &&\n Math.abs(a[10] - b[10]) < EPSILON &&\n Math.abs(a[11] - b[11]) < EPSILON &&\n Math.abs(a[12] - b[12]) < EPSILON &&\n Math.abs(a[13] - b[13]) < EPSILON &&\n Math.abs(a[14] - b[14]) < EPSILON &&\n Math.abs(a[15] - b[15]) < EPSILON;\n }\n /**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] &&\n a[1] === b[1] &&\n a[2] === b[2] &&\n a[3] === b[3] &&\n a[4] === b[4] &&\n a[5] === b[5] &&\n a[6] === b[6] &&\n a[7] === b[7] &&\n a[8] === b[8] &&\n a[9] === b[9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n }\n /**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\n function transpose(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n if (newDst === m) {\n let t;\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n newDst[0] = m00;\n newDst[1] = m10;\n newDst[2] = m20;\n newDst[3] = m30;\n newDst[4] = m01;\n newDst[5] = m11;\n newDst[6] = m21;\n newDst[7] = m31;\n newDst[8] = m02;\n newDst[9] = m12;\n newDst[10] = m22;\n newDst[11] = m32;\n newDst[12] = m03;\n newDst[13] = m13;\n newDst[14] = m23;\n newDst[15] = m33;\n return newDst;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n function inverse(m, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n newDst[0] = d * t0;\n newDst[1] = d * t1;\n newDst[2] = d * t2;\n newDst[3] = d * t3;\n newDst[4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n return newDst;\n }\n /**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\n function determinant(m) {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n }\n /**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\n const invert = inverse;\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(16));\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[4 + 0];\n const a11 = a[4 + 1];\n const a12 = a[4 + 2];\n const a13 = a[4 + 3];\n const a20 = a[8 + 0];\n const a21 = a[8 + 1];\n const a22 = a[8 + 2];\n const a23 = a[8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[4 + 0];\n const b11 = b[4 + 1];\n const b12 = b[4 + 2];\n const b13 = b[4 + 3];\n const b20 = b[8 + 0];\n const b21 = b[8 + 1];\n const b22 = b[8 + 2];\n const b23 = b[8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n newDst[0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n return newDst;\n }\n /**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\n const mul = multiply;\n /**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\n function setTranslation(a, v, dst) {\n const newDst = (dst ?? identity());\n if (a !== newDst) {\n newDst[0] = a[0];\n newDst[1] = a[1];\n newDst[2] = a[2];\n newDst[3] = a[3];\n newDst[4] = a[4];\n newDst[5] = a[5];\n newDst[6] = a[6];\n newDst[7] = a[7];\n newDst[8] = a[8];\n newDst[9] = a[9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n ///**\n // * Returns the translation component of a 4-by-4 matrix as a vector with 3\n // * entries.\n // * @param m - The matrix.\n // * @param dst - vector to hold result. If not passed a new one is created.\n // * @returns The translation component of m.\n // */\n function getTranslation(m, dst) {\n const newDst = (dst ?? vec3.create());\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n }\n /**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\n function getAxis(m, axis, dst) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n }\n /**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\n function setAxis(m, v, axis, dst) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n }\n ///**\n // * Returns the scaling component of the matrix\n // * @param m - The Matrix\n // * @param dst - The vector to set. If not passed a new one is created.\n // */\n function getScaling(m, dst) {\n const newDst = (dst ?? vec3.create());\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\n function perspective(fieldOfViewYInRadians, aspect, zNear, zFar, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */ function perspectiveReverseZ(fieldOfViewYInRadians, aspect, zNear, zFar = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n }\n else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n return newDst;\n }\n /**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\n function ortho(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustum(left, right, bottom, top, near, far, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n return newDst;\n }\n /**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\n function frustumReverseZ(left, right, bottom, top, near, far = Infinity, dst) {\n const newDst = (dst ?? new Ctor(16));\n const dx = (right - left);\n const dy = (top - bottom);\n newDst[0] = 2 * near / dx;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 2 * near / dy;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = (left + right) / dx;\n newDst[9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n }\n else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n return newDst;\n }\n const xAxis = vec3.create();\n const yAxis = vec3.create();\n const zAxis = vec3.create();\n /**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function aim(position, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = position[0];\n newDst[13] = position[1];\n newDst[14] = position[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\n function cameraAim(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = xAxis[1];\n newDst[2] = xAxis[2];\n newDst[3] = 0;\n newDst[4] = yAxis[0];\n newDst[5] = yAxis[1];\n newDst[6] = yAxis[2];\n newDst[7] = 0;\n newDst[8] = zAxis[0];\n newDst[9] = zAxis[1];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = eye[0];\n newDst[13] = eye[1];\n newDst[14] = eye[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\n function lookAt(eye, target, up, dst) {\n const newDst = (dst ?? new Ctor(16));\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n newDst[0] = xAxis[0];\n newDst[1] = yAxis[0];\n newDst[2] = zAxis[0];\n newDst[3] = 0;\n newDst[4] = xAxis[1];\n newDst[5] = yAxis[1];\n newDst[6] = zAxis[1];\n newDst[7] = 0;\n newDst[8] = xAxis[2];\n newDst[9] = yAxis[2];\n newDst[10] = zAxis[2];\n newDst[11] = 0;\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\n function translation(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\n function translate(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n if (m !== newDst) {\n newDst[0] = m00;\n newDst[1] = m01;\n newDst[2] = m02;\n newDst[3] = m03;\n newDst[4] = m10;\n newDst[5] = m11;\n newDst[6] = m12;\n newDst[7] = m13;\n newDst[8] = m20;\n newDst[9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationX(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = c;\n newDst[6] = s;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = -s;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateX(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n if (m !== newDst) {\n newDst[0] = m[0];\n newDst[1] = m[1];\n newDst[2] = m[2];\n newDst[3] = m[3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationY(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = 0;\n newDst[2] = -s;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = 1;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = s;\n newDst[9] = 0;\n newDst[10] = c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateY(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 - s * m20;\n newDst[1] = c * m01 - s * m21;\n newDst[2] = c * m02 - s * m22;\n newDst[3] = c * m03 - s * m23;\n newDst[8] = c * m20 + s * m00;\n newDst[9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n if (m !== newDst) {\n newDst[4] = m[4];\n newDst[5] = m[5];\n newDst[6] = m[6];\n newDst[7] = m[7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\n function rotationZ(angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c;\n newDst[1] = s;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = -s;\n newDst[5] = c;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function rotateZ(m, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n newDst[0] = c * m00 + s * m10;\n newDst[1] = c * m01 + s * m11;\n newDst[2] = c * m02 + s * m12;\n newDst[3] = c * m03 + s * m13;\n newDst[4] = c * m10 - s * m00;\n newDst[5] = c * m11 - s * m01;\n newDst[6] = c * m12 - s * m02;\n newDst[7] = c * m13 - s * m03;\n if (m !== newDst) {\n newDst[8] = m[8];\n newDst[9] = m[9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n function axisRotation(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n newDst[0] = xx + (1 - xx) * c;\n newDst[1] = x * y * oneMinusCosine + z * s;\n newDst[2] = x * z * oneMinusCosine - y * s;\n newDst[3] = 0;\n newDst[4] = x * y * oneMinusCosine - z * s;\n newDst[5] = yy + (1 - yy) * c;\n newDst[6] = y * z * oneMinusCosine + x * s;\n newDst[7] = 0;\n newDst[8] = x * z * oneMinusCosine + y * s;\n newDst[9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\n const rotation = axisRotation;\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n function axisRotate(m, axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(16));\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n newDst[0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\n const rotate = axisRotate;\n /**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function scaling(v, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = v[0];\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = v[1];\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = v[2];\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function scale(m, v, dst) {\n const newDst = (dst ?? new Ctor(16));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n newDst[0] = v0 * m[0 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2];\n newDst[3] = v0 * m[0 * 4 + 3];\n newDst[4] = v1 * m[1 * 4 + 0];\n newDst[5] = v1 * m[1 * 4 + 1];\n newDst[6] = v1 * m[1 * 4 + 2];\n newDst[7] = v1 * m[1 * 4 + 3];\n newDst[8] = v2 * m[2 * 4 + 0];\n newDst[9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n /**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\n function uniformScaling(s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n newDst[4] = 0;\n newDst[5] = s;\n newDst[6] = 0;\n newDst[7] = 0;\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = s;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n return newDst;\n }\n /**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\n function uniformScale(m, s, dst) {\n const newDst = (dst ?? new Ctor(16));\n newDst[0] = s * m[0 * 4 + 0];\n newDst[1] = s * m[0 * 4 + 1];\n newDst[2] = s * m[0 * 4 + 2];\n newDst[3] = s * m[0 * 4 + 3];\n newDst[4] = s * m[1 * 4 + 0];\n newDst[5] = s * m[1 * 4 + 1];\n newDst[6] = s * m[1 * 4 + 2];\n newDst[7] = s * m[1 * 4 + 3];\n newDst[8] = s * m[2 * 4 + 0];\n newDst[9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n return newDst;\n }\n return {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n };\n}\nconst cache$2 = new Map();\nfunction getAPI$2(Ctor) {\n let api = cache$2.get(Ctor);\n if (!api) {\n api = getAPIImpl$2(Ctor);\n cache$2.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl$1(Ctor) {\n const vec3 = getAPI$3(Ctor);\n /**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\n function fromAxisAngle(axis, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n return newDst;\n }\n /**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\n function toAxisAngle(q, dst) {\n const newDst = (dst ?? vec3.create(3));\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n }\n else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n return { angle, axis: newDst };\n }\n /**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\n function angle(a, b) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n return newDst;\n }\n /**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n const mul = multiply;\n /**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateX(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateY(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n return newDst;\n }\n /**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function rotateZ(q, angleInRadians, dst) {\n const newDst = (dst ?? new Ctor(4));\n const halfAngle = angleInRadians * 0.5;\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n return newDst;\n }\n /**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\n function slerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n let scale0;\n let scale1;\n if (1.0 - cosOmega > EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n }\n else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n return newDst;\n }\n /**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\n function inverse(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n return newDst;\n }\n /**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\n function conjugate(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function fromMat(m, dst) {\n const newDst = (dst ?? new Ctor(4));\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n \n 0 1 2\n 4 5 6\n 8 9 10\n */\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n }\n else {\n // |w| <= 1/2\n let i = 0;\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n const invRoot = 0.5 / root;\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n return newDst;\n }\n /**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\n function fromEuler(xAngleInRadians, yAngleInRadians, zAngleInRadians, order, dst) {\n const newDst = (dst ?? new Ctor(4));\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n return newDst;\n }\n /**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\n function copy(q, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n return newDst;\n }\n /**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\n const clone = copy;\n /**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\n const len = length;\n /**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\n const lenSq = lengthSq;\n /**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\n function identity(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n const tempVec3 = vec3.create();\n const xUnitVec3 = vec3.create();\n const yUnitVec3 = vec3.create();\n /**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\n function rotationTo(aUnit, bUnit, dst) {\n const newDst = (dst ?? new Ctor(4));\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n return newDst;\n }\n else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n return newDst;\n }\n else {\n vec3.cross(aUnit, bUnit, tempVec3);\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n return normalize(newDst, newDst);\n }\n }\n const tempQuat1 = new Ctor(4);\n const tempQuat2 = new Ctor(4);\n /**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\n function sqlerp(a, b, c, d, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n return newDst;\n }\n return {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n };\n}\nconst cache$1 = new Map();\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI$1(Ctor) {\n let api = cache$1.get(Ctor);\n if (!api) {\n api = getAPIImpl$1(Ctor);\n cache$1.set(Ctor, api);\n }\n return api;\n}\n\n/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor) {\n /**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\n function create(x, y, z, w) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n }\n /**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\n const fromValues = create;\n /**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\n function set(x, y, z, w, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n return newDst;\n }\n /**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\n function ceil(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n return newDst;\n }\n /**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\n function floor(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n return newDst;\n }\n /**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\n function round(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n return newDst;\n }\n /**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\n function clamp(v, min = 0, max = 1, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n return newDst;\n }\n /**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\n function add(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n return newDst;\n }\n /**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\n function addScaled(a, b, scale, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n function subtract(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n return newDst;\n }\n /**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\n const sub = subtract;\n /**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\n function equalsApproximately(a, b) {\n return Math.abs(a[0] - b[0]) < EPSILON &&\n Math.abs(a[1] - b[1]) < EPSILON &&\n Math.abs(a[2] - b[2]) < EPSILON &&\n Math.abs(a[3] - b[3]) < EPSILON;\n }\n /**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\n function equals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\n function lerp(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\n function lerpV(a, b, t, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n return newDst;\n }\n /**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\n function max(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n return newDst;\n }\n /**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\n function min(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function mulScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n return newDst;\n }\n /**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n const scale = mulScalar;\n /**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\n function divScalar(v, k, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n return newDst;\n }\n /**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n function inverse(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n return newDst;\n }\n /**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\n const invert = inverse;\n /**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\n function dot(a, b) {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n }\n /**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\n function length(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n }\n /**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\n const len = length;\n /**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\n function lengthSq(v) {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n }\n /**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\n const lenSq = lengthSq;\n /**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n function distance(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n }\n /**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\n const dist = distance;\n /**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n function distanceSq(a, b) {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n }\n /**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\n const distSq = distanceSq;\n /**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\n function normalize(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n }\n else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n return newDst;\n }\n /**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\n function negate(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n return newDst;\n }\n /**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n function copy(v, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n return newDst;\n }\n /**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\n const clone = copy;\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n function multiply(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n return newDst;\n }\n /**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\n const mul = multiply;\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n function divide(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n return newDst;\n }\n /**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\n const div = divide;\n /**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\n function zero(dst) {\n const newDst = (dst ?? new Ctor(4));\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n return newDst;\n }\n /**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\n function transformMat4(v, m, dst) {\n const newDst = (dst ?? new Ctor(4));\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n newDst[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n return newDst;\n }\n /**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\n function setLength(a, len, dst) {\n const newDst = (dst ?? new Ctor(4));\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n }\n /**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\n function truncate(a, maxLen, dst) {\n const newDst = (dst ?? new Ctor(4));\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n return copy(a, newDst);\n }\n /**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\n function midpoint(a, b, dst) {\n const newDst = (dst ?? new Ctor(4));\n return lerp(a, b, 0.5, newDst);\n }\n return {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n };\n}\nconst cache = new Map();\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nfunction getAPI(Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api;\n}\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) {\n return {\n /** @namespace mat4 */\n mat4: getAPI$2(Mat3Ctor),\n /** @namespace mat3 */\n mat3: getAPI$4(Mat4Ctor),\n /** @namespace quat */\n quat: getAPI$1(QuatCtor),\n /** @namespace vec2 */\n vec2: getAPI$5(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getAPI$3(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getAPI(Vec4Ctor),\n };\n}\nconst { \n/** @namespace */\nmat4, \n/** @namespace */\nmat3, \n/** @namespace */\nquat, \n/** @namespace */\nvec2, \n/** @namespace */\nvec3, \n/** @namespace */\nvec4, } = wgpuMatrixAPI(Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\nconst { \n/** @namespace */\nmat4: mat4d, \n/** @namespace */\nmat3: mat3d, \n/** @namespace */\nquat: quatd, \n/** @namespace */\nvec2: vec2d, \n/** @namespace */\nvec3: vec3d, \n/** @namespace */\nvec4: vec4d, } = wgpuMatrixAPI(Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\nconst { \n/** @namespace */\nmat4: mat4n, \n/** @namespace */\nmat3: mat3n, \n/** @namespace */\nquat: quatn, \n/** @namespace */\nvec2: vec2n, \n/** @namespace */\nvec3: vec3n, \n/** @namespace */\nvec4: vec4n, } = wgpuMatrixAPI(ZeroArray, Array, Array, Array, Array, Array);\n\nexport { mat3, mat3d, mat3n, mat4, mat4d, mat4n, quat, quatd, quatn, utils, vec2, vec2d, vec2n, vec3, vec3d, vec3n, vec4, vec4d, vec4n };\n//# sourceMappingURL=wgpu-matrix.module.js.map\n","export const cubeVertexSize = 4 * 10; // Byte size of one cube vertex.\nexport const cubePositionOffset = 0;\nexport const cubeColorOffset = 4 * 4; // Byte offset of cube vertex color attribute.\nexport const cubeUVOffset = 4 * 8;\nexport const cubeVertexCount = 36;\n\n// prettier-ignore\nexport const cubeVertexArray = new Float32Array([\n // float4 position, float4 color, float2 uv,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, 1, 1, 1, 0, 1, 1, 1, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n 1, -1, -1, 1, 1, 0, 0, 1, 1, 0,\n\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n -1, 1, -1, 1, 0, 1, 0, 1, 0, 0,\n -1, 1, 1, 1, 0, 1, 1, 1, 0, 1,\n 1, 1, -1, 1, 1, 1, 0, 1, 1, 0,\n\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n -1, -1, -1, 1, 0, 0, 0, 1, 0, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n -1, 1, 1, 1, 0, 1, 1, 1, 1, 1,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n -1, -1, 1, 1, 0, 0, 1, 1, 1, 0,\n 1, -1, 1, 1, 1, 0, 1, 1, 0, 0,\n 1, 1, 1, 1, 1, 1, 1, 1, 0, 1,\n\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, -1, -1, 1, 0, 0, 0, 1, 1, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n 1, 1, -1, 1, 1, 1, 0, 1, 0, 0,\n 1, -1, -1, 1, 1, 0, 0, 1, 0, 1,\n -1, 1, -1, 1, 0, 1, 0, 1, 1, 0,\n]);\n","import { mat4, vec3 } from 'wgpu-matrix';\n\nimport {\n cubeVertexArray,\n cubeVertexSize,\n cubeUVOffset,\n cubePositionOffset,\n cubeVertexCount,\n} from '../../meshes/cube';\n\nimport basicVertWGSL from '../../shaders/basic.vert.wgsl';\nimport vertexPositionColorWGSL from '../../shaders/vertexPositionColor.frag.wgsl';\n\n// The worker process can instantiate a WebGPU device immediately, but it still needs an\n// OffscreenCanvas to be able to display anything. Here we listen for an 'init' message from the\n// main thread that will contain an OffscreenCanvas transferred from the page, and use that as the\n// signal to begin WebGPU initialization.\nself.addEventListener('message', (ev) => {\n switch (ev.data.type) {\n case 'init': {\n try {\n init(ev.data.offscreenCanvas);\n } catch (err) {\n console.error(\n `Error while initializing WebGPU in worker process: ${err.message}`\n );\n }\n break;\n }\n }\n});\n\n// Once we receive the OffscreenCanvas this init() function is called, which functions similarly\n// to the init() method for all the other samples. The remainder of this file is largely identical\n// to the rotatingCube sample.\nasync function init(canvas) {\n const adapter = await navigator.gpu.requestAdapter();\n const device = await adapter.requestDevice();\n const context = canvas.getContext('webgpu');\n\n const presentationFormat = navigator.gpu.getPreferredCanvasFormat();\n\n context.configure({\n device,\n format: presentationFormat,\n alphaMode: 'premultiplied',\n });\n\n // Create a vertex buffer from the cube data.\n const verticesBuffer = device.createBuffer({\n size: cubeVertexArray.byteLength,\n usage: GPUBufferUsage.VERTEX,\n mappedAtCreation: true,\n });\n new Float32Array(verticesBuffer.getMappedRange()).set(cubeVertexArray);\n verticesBuffer.unmap();\n\n const pipeline = device.createRenderPipeline({\n layout: 'auto',\n vertex: {\n module: device.createShaderModule({\n code: basicVertWGSL,\n }),\n buffers: [\n {\n arrayStride: cubeVertexSize,\n attributes: [\n {\n // position\n shaderLocation: 0,\n offset: cubePositionOffset,\n format: 'float32x4',\n },\n {\n // uv\n shaderLocation: 1,\n offset: cubeUVOffset,\n format: 'float32x2',\n },\n ],\n },\n ],\n },\n fragment: {\n module: device.createShaderModule({\n code: vertexPositionColorWGSL,\n }),\n targets: [\n {\n format: presentationFormat,\n },\n ],\n },\n primitive: {\n topology: 'triangle-list',\n\n // Backface culling since the cube is solid piece of geometry.\n // Faces pointing away from the camera will be occluded by faces\n // pointing toward the camera.\n cullMode: 'back',\n },\n\n // Enable depth testing so that the fragment closest to the camera\n // is rendered in front.\n depthStencil: {\n depthWriteEnabled: true,\n depthCompare: 'less',\n format: 'depth24plus',\n },\n });\n\n const depthTexture = device.createTexture({\n size: [canvas.width, canvas.height],\n format: 'depth24plus',\n usage: GPUTextureUsage.RENDER_ATTACHMENT,\n });\n\n const uniformBufferSize = 4 * 16; // 4x4 matrix\n const uniformBuffer = device.createBuffer({\n size: uniformBufferSize,\n usage: GPUBufferUsage.UNIFORM | GPUBufferUsage.COPY_DST,\n });\n\n const uniformBindGroup = device.createBindGroup({\n layout: pipeline.getBindGroupLayout(0),\n entries: [\n {\n binding: 0,\n resource: {\n buffer: uniformBuffer,\n },\n },\n ],\n });\n\n const renderPassDescriptor: GPURenderPassDescriptor = {\n colorAttachments: [\n {\n view: undefined, // Assigned later\n\n clearValue: [0.5, 0.5, 0.5, 1.0],\n loadOp: 'clear',\n storeOp: 'store',\n },\n ],\n depthStencilAttachment: {\n view: depthTexture.createView(),\n\n depthClearValue: 1.0,\n depthLoadOp: 'clear',\n depthStoreOp: 'store',\n },\n };\n\n const aspect = canvas.width / canvas.height;\n const projectionMatrix = mat4.perspective(\n (2 * Math.PI) / 5,\n aspect,\n 1,\n 100.0\n );\n const modelViewProjectionMatrix = mat4.create();\n\n function getTransformationMatrix() {\n const viewMatrix = mat4.identity();\n mat4.translate(viewMatrix, vec3.fromValues(0, 0, -4), viewMatrix);\n const now = Date.now() / 1000;\n mat4.rotate(\n viewMatrix,\n vec3.fromValues(Math.sin(now), Math.cos(now), 0),\n 1,\n viewMatrix\n );\n\n mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix);\n\n return modelViewProjectionMatrix;\n }\n\n function frame() {\n const transformationMatrix = getTransformationMatrix();\n device.queue.writeBuffer(\n uniformBuffer,\n 0,\n transformationMatrix.buffer,\n transformationMatrix.byteOffset,\n transformationMatrix.byteLength\n );\n renderPassDescriptor.colorAttachments[0].view = context\n .getCurrentTexture()\n .createView();\n\n const commandEncoder = device.createCommandEncoder();\n const passEncoder = commandEncoder.beginRenderPass(renderPassDescriptor);\n passEncoder.setPipeline(pipeline);\n passEncoder.setBindGroup(0, uniformBindGroup);\n passEncoder.setVertexBuffer(0, verticesBuffer);\n passEncoder.draw(cubeVertexCount);\n passEncoder.end();\n device.queue.submit([commandEncoder.finish()]);\n\n requestAnimationFrame(frame);\n }\n\n // Note: It is important to return control to the browser regularly in order for the worker to\n // process events. You shouldn't simply loop infinitely with while(true) or similar! Using a\n // traditional requestAnimationFrame() loop in the worker is one way to ensure that events are\n // handled correctly by the worker.\n requestAnimationFrame(frame);\n}\n\nexport 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\ No newline at end of file diff --git a/sample/worker/worker.ts b/sample/worker/worker.ts index aec123cc..4a3e52f9 100644 --- a/sample/worker/worker.ts +++ b/sample/worker/worker.ts @@ -174,7 +174,7 @@ async function init(canvas) { mat4.multiply(projectionMatrix, viewMatrix, modelViewProjectionMatrix); - return modelViewProjectionMatrix as Float32Array; + return modelViewProjectionMatrix; } function frame() {